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Spin-Transfer Torques in Antiferromagnetic Metals from First Principles

Spin-Transfer Torques in Antiferromagnetic Metals from First Principles
Spin-Transfer Torques in Antiferromagnetic Metals from First Principles

Spin-Transfer Torques in Antiferromagnetic Metals from First Principles

Yuan Xu,Shuai Wang,and Ke Xia

State Key Laboratory for Surface Physics,Institute of Physics,Chinese Academy of Sciences,P.O.Box 603,Beijing 100080,China

(Received 15August 2007;published 3June 2008)

In spite of the absence of a macroscopic magnetic moment,an antiferromagnet is

spin-polarized on an atomic scale.The electric current passing through a conducting antiferromagnet is polarized as well,leading to spin-transfer torques when the order parameter is textured,such as in antiferromagnetic noncollinear spin valves and domain walls.We report a ?rst principles study on the electronic transport properties of antiferromagnetic systems.The current-induced spin torques acting on the magnetic moments are comparable with those in conventional ferromagnetic materials,leading to measurable angular resistances and current-induced magnetization dynamics.In contrast to ferromagnets,spin torques in antiferromagnets are very nonlocal.The torques acting far away from the center of an antiferromagnetic domain wall should facilitate current-induced domain wall motion.

DOI:10.1103/PhysRevLett.100.226602

PACS numbers:72.25.Ba,75.47.De,75.50.Ee

Antiferromagnet metals (AFMs)are widely used to pin and exchange-bias ferromagnets in devices such as mag-netic spin valve read heads [1,2].The absence of magnetic stray ?elds makes them very useful as probe tips in spin-polarized scanning tunneling microscopes [3].AFMs are materials with spontaneous magnetization below a critical Ne

′el temperature at which the magnetic moments of two (or more)sublattices point into opposite directions,such that the net magnetic moment of the AFM vanishes.External magnetic ?elds cannot be used to manipulate the strongly coupled magnetic moments of AFMs.An alternative for magnetic ?elds to excite ferromagnets (FMs)is the current-induced spin-transfer torque (STT)[4].Since the electric current is spin-polarized on an atomic scale,the STT phenomenon may excite the anti-ferromagnetic order parameter.It is not obvious whether the STT is strong enough and how different sublattices are affected.

Recent theoretical studies [5–7]predicted that,in spin valves with uncompensated antiferromagnets,an angular resistance (AR)effect can be expected.Reversal of the antiferromagnetic order parameter is equivalent with a phase shift by a half period.Furthermore,STT is not an interface effect as in ferrromagnets but effective over the whole AFM.Very recently,strong experimental evidence of STT between AFM and FM has been reported [8].In addition,the resistance of antiferromagnetic domain walls (AFDWs)in chromium has been measured [9].

In contrast to FMs,AFMs have much smaller shape anisotropies which makes manipulation of its magnetic moments easier—provided one can apply a sizable spin torque on the moments.What is the magnitude of the spin torque for an atomic scale spin polarization?Can an atomic scale spin polarization give rise to an observable AR effect?These are the questions that we attempt to answer in this work.

-FeMn is an AFM used as a pinning layer in spin valves,and we demonstrate that an electric current can induce angular momentum transfer between magnetic mo-ments in AFMs.By a detailed analysis of the current and nonequilibrium charge densities,we show that an atomic scale spin polarization exists even for compensated AFMs.A sizable AR is predicted in antiferromagnetic spin valves (AFSVs).In an AFDW,the spin torque is effective not only around the domain wall center but throughout the entire AFM,which can be understood by the suppressed spin precession.

In our calculations,the atomic potential was determined in the framework of the tight-binding (TB)linear muf?n-tin-orbital (MTO)method based on density functional theory in the local density approximation [10]and an exchange-correlation potential parametrized by von Barth and Hedin [11].The self-consistent crystal potentials were used as input to a TB-MTO wave-function-matching cal-culation,and the scattering wave functions of the whole system were obtained explicitly [12].To model noncol-linear magnetic con?gurations in AFDWs,a rigid potential approximation is applied,which is a good approximation for suf?ciently wide domain walls [13].

The spin current and charge density can be calculated from the scattering wave functions.The torques acting on an atomic plane are de?ned as the difference between incoming and outgoing spin current [14].Finally,we focus on transport along the direction perpendicular to the plane fcc(111)as illustrated in Fig.1(b),where four atoms con-

FIG.1(color online).(a)Magnetic structure of -FeMn.(b)fcc(111)plane of -FeMn,where the dashed lines connect the atoms in a unit cell.

nected by the dashed lines form a unit cell.fcc(111)is a compensated plane with zero net magnetic moment in each layer.

The magnetic structure of -FeMn is shown in Fig.1(a).This con?guration has been observed experimentally [15]and con?rmed to be energetically favorable by ab initio calculation [16].There are four inequivalent atoms in a unit cell.The magnetic moments of Fe2and Mn1and those of Fe1and Mn2point in opposite directions.Our calculation [17]yields the magnetic moments as m Fe 1:4 B and m Mn 1:9 B .

When a current passes through an antiferromagnetic material,the current-induced nonequilibrium charge den-sity integrated over the atomic sphere of an atom is spin-polarized.We de?ne the polarization of atom as P S

"? # = " # ,where

" # is the spin-resolved nonequilibrium charge density."(#)indicates the electron spin parallel (antiparallel)to the spin quantization axis.In Fig.2,we plot P S for a single FeMn j Cu interface.We group the system into four inequivalent sublattices accord-ing to the inequivalent atoms in the unit cell of -FeMn.A nonzero polarization is found even at the Cu side.The sum of the spin polarizations of the four sublattices vanishes in each layer.These results show that a compensated anti-ferromagnet injects a spin polarization into a normal metal that oscillates on an atomic scale.

Let us consider now an AFSV denoted as FeMn1 j Cu j FeMn2j Cu ,where an in?nitely thick FeMn1serves as the ?xed layer and FeMn2as the free layer.The z axis of spin space is set along the magnetiza-tion of the free layer,and gives the relative angle between both order parameters.In our calculations,the thicknesses

of the Cu spacer and the FeMn2free layer are chosen to be both 10monolayers (ML)[18].

The top panel in Fig.3illustrates the magnetic structure

of the so-called parallel con?guration ( 0

).Here and in the following,we group the four sublattices into two according to the direction of their magnetic moments.When the magnetization of FeMn1is rotated from 0 to 180

(the antiparallel con?guration),the electric resistance changes.

The bottom panel in Fig.3gives the spin-polarized current at the two sublattices.When the magnetizations of the two AFM layers are collinear,there is no net current spin polarization.However,the spatial distribution of spin-polarized current is not trivial.In fact,the spin-polarized currents on the two sublattices do not vanish even in Cu.They are identical in magnitude but oppositely spin-polarized.Another ?nding is that the spin-polarized cur-rent oscillates between the two sublattices and is not conserved within one sublattice.

The AR ratio in terms of conductance as G 0

?

G 180 =G 180

amounts to a measurable 5%.The re-maining question is the robustness of this AR effect in the presence of interfacial disorder.We modeled disorder by an interfacial alloy with a lateral supercell method [12].For a 1ML FeMn 1?x Cu x interfacial alloy,the AR de-pendence on interfacial alloy concentration x is shown in Fig.4,which indicates that the AR is somewhat suppressed in the presence of disorder but should remain to be observable.

It is interesting to investigate the STT due to the atomic scale spin-dependent scattering.Before going into the numerical results,we analyze the symmetry of the STT.For one sublattice,similar to that of FM,the torque on a local magnetic moment m is proportional to m M

m

FIG.2(color online).Layer-resolved spin polarization of non-equilibrium charge density P S on the four inequivalent sublatti-ces of the FeMn j Cu system,where FeMn occupies the 1st–40th layers and Cu the 41st–80th layers.The electron current ?ows from FeMn to Cu.Inset (a)gives the P S on the Cu side for the inequivalent sublattices corresponding to Fe2and Mn1.Inset (b)gives the P S on the Cu side for the inequivalent sublattices corresponding to Fe1and

Mn2.

FIG.3(color online).Top panel:Cartoon of the parallel con-?guration 0

of an AFSV .The red and blue arrows denote the two sublattices A and B ,respectively.Bottom panel:The

layer-resolved z component of spin-polarized current I z

s ?,where the subscript ?denotes the current perpendicular to the fcc(111)plane and the red circles (blue squares)represent the spin-polarized current on the sublattice A (B ).

(in-plane)and m M (out-of-plane),where M denotes the source of spin current.For another sublattice,both m and M are reversed.The in-plane torque is also reversed,whereas the out-of-plane torque remains unchanged.Because the in-plane torque T k on two sublattices is iden-tical in magnitude and opposite in direction and the mag-netization of two sublattices points in opposite directions,the net effect of STT tends to rotate those moments to-

gether.In contrast to T k ,the out-of-plane torque T ?acts identically on the two magnetic sublattices.As the ex-change coupling in the AFM is strong,out-of-plane torques will not result in any signi?cant effect on the dynamics of the magnetic moments.

As shown in Fig.5(a),the spin torque in the AFM layer oscillates deep into material which differs from a conven-tional FM spin valve [19,20].The angular dependence of the total in-plane torque acting on a sublattice (Fe1&Mn2)

in FeMn2is shown in Fig.5(b).For 150

,the torque (4:1 10?4eV b = B )acting on the surface atoms is much smaller than that in a FM spin valve ( 10?3eV b = B )[21].However,due to the slow decay of the spin torque in AFMs,the integrated torque on per atom of AFMs (2:4 10?4eV b = B )is comparable to that in FMs.

A similar spin-transfer effect should occur in AFDWs.As domain wall physics in AFMs has not been fully under-stood [22],we simply consider a Bloch-like domain wall which could exist in the experiment [23],as shown in Fig.6(a).The con?guration is described by y 2

arcsin tanh y ?y 0

DW ,where DW is the characteristic length which is selected to be 4ML and y 0the center of the wall.The spin direction in each monolayer along the wall is shown in Fig.6(b).The change of the total conductance due to the formation of a wall is 2.8%for a 4ML

thick

FIG.5(color online).(a)The layer-resolved in-plane torque T k on one sublattice (Fe1&Mn2)of FeMn2in FeMn1 j Cu 10ML j FeMn2 10ML j Cu ,as shown by the car-toon.Here 150

,electrons ?ow from FeMn1to FeMn2,and FeMn2is located at 15 I 24.(b)Angular dependence of the in-plane torque T k on the sublattice (Fe1&Mn2)of FeMn2in the same

system.

FIG.6(color online).(a)Schematic view of the AFDW,in which two sublattices are indicated by the green and blue arrows,the magnetization is rotated in the plane by an angle ,and the electrons are injected from the left side.The in-plane torque directions are indicated by the red arrows.(b) as the function of position.(c)Spin torques acting on the sublattice (Fe1&Mn2)in each monolayer with initial con?guration,where T X and T Z denote the in-plane components and j T k j is the absolute value of in-plane torques.

FIG.4.Cu concentration x dependence of AR in the system FeMn1j Cu 10ML j FeMn2 10ML j Cu .

domain wall,which is comparable to that in a FM with the same width.

Figure6(c)shows the in-plane torque exerted on one sublattice(Fe1&Mn2)as a function of position in the domain wall.There is a substantial STT in the region far away from the domain wall center.This is attributed to the spin degeneracy of the electronic band structure in the AFM.The injected spin can penetrate and precess coher-ently until deep into the AFM.As a result,STT in AFM is very nonlocal,at least in the absence of disorder scattering. We investigate the dynamics of the AFDW with the Landau-Lifshitz-Gilbert(LLG)equation[24]by using our calculated STT.An AFM with two sublattices is de-scribed by two sets of coupled LLG equations.Here we decouple the equations by assuming that the magnetiza-tions of two sublattices in the same layer are antiparallel to each other at any time.This should be reasonable due to a strong antiferromagnetic coupling between the two sublattices.

To investigate dynamics of the domain wall in the presence of a current,we follow the method of Ohe and Kramer[25],who studied FM domain walls.This method consists of several steps:(i)Given a domain wall con?gu-ration,we calculate the STT acting on each site under a certain current density;(ii)the obtained spin torque at each site is substituted into the LLG equation to obtain a set of equations for each site in the domain wall at a given time t; (iii)by integrating the LLG equation,we obtain the domain wall con?guration after an interval at t0 t t;(iv)once a new domain wall con?guration is obtained,we can calculate the STT again,and the process is repeated.The interval t between two consecutive steps is chosen small enough to guarantee numerical convergence of the solution.

In particular,a magnetic anisotropy constant of1:35 105erg=cm3,exchange stiffness constant of0:94 10?9erg=cm,magnetization of sublattice of650G,and Gilbert damping constant of0.1are used in our calculation. Under a current density of5 107A=cm2and starting from the initial domain wall con?guration mentioned above,we obtained results for10time steps of t 2ps.The domain wall moves in the?Y direction,and the estimated velocity is4m=s.In contrast to the FM domain wall,the velocity is maintained due to the vanish-ing demagnetization?eld.For the same reason,when no pinning?eld is taken into account,the critical current that sets the AFDW into motion is also expected to be very small as compared to a FM domain wall.

In summary,we?nd an atomic scale spin polarization in completely compensated AFMs.An STT can be induced by an electric bias.In AFSVs,a sizable AR is predicted, and the STT is found to be comparable to that in conven-tional FM spin valves.In AFDWs,the torques turn out to be nonlocal.The spin dynamics of AFDWs is studied by including the STT in the LLG equation for AFMs.

We acknowledge G.E.W.Bauer and H.Guo for their critical reading of the manuscript.We also acknowledge M.D.Stiles for his suggestion to de?ne an atomic scale spin polarization.This work is supported by the NSF (No.10634070and No.10774175)and MOST (No.2006CB933000and No.2006AA03Z402)of

China.

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In\ on\ at (time) at 用在具体某一时刻eg at 11:00 at 4:30 在节假日的全部日子里at Christmas 习惯用法at noon at weekends\ at the weekend at night at breakfast\lunch\supper on 具体到某一天;某一天的早晨,中午或晚上on May the first on Sunday morning 对具体某一天的早晨,中午,晚上进行详细的描述on a sunny morning on a windy night 节日的当天;星期on Women?s Day on Monday In 用在年;月;季节in spring in 2012 in August 后面+一段时间表示将来时in two days 习惯用法in the morning\in the afternoon\in the evening “\”以this, that, last, next, some, every, one, any,all开始的时间副词之前的at\on\in 省略在today, tomorrow, yesterday, the day after tomorrow, tomorrow morning,yesterday afternoon,the day before yesterday 之前的介词必须省略 Practice ___ summer ____ 2012 ____ supper ___ 4:00 ___ June the first ___yesterday morning ____ New Year?s Day ___ Women?s Day ___ the morning ____ the morning of July the first ____ 2014 ___ tomorrow morning ____ midnight 1.—What are you doing ____ Sunday? And what is your wife doing ___ the weekend? 2. He?ll see you ____ Monday. And he…ll see your brother ____next Monday. 3. They often go out ___ the evenings. But they don?t go out ____ Sunday evenings. 4. Do you work ____ Fridays? Does she work _____ every Friday? 5. They usually have a long holiday ___ summer. But their son can only have a short holiday ___ Christmas. 6. Paul got married ___ 2010, He got married ___ 9 o?clock ___ 19 May 2010. His brother got married ___ May, 2011. His sister is getting married ___ this year. 1.—When will Mr Black come to Beijing? ---_______ September 5 A. on B. to C. at D. in 2. The twins were born ____ a Friday evening. A. on B. of C. at D. in 3. It?s the best time to plant ____ spring. A. on B. in C. at D.\ 4. ____ the age of twelve, Edison began selling newspaper on train. A. On B. At C. In D.By 5. She has been an English teacher ____ 2000. A. for B. since C. in D.on 6.I have studied English _____ 2003. A. since B. for C. from D.in

常用标点符号用法含义

一、基本定义 句子,前后都有停顿,并带有一定的句调,表示相对完整的意义。句子前后或中间的停顿,在口头语言中,表现出来就是时间间隔,在书面语言中,就用标点符号来表示。一般来说,汉语中的句子分以下几种: 陈述句: 用来说明事实的句子。 祈使句: 用来要求听话人做某件事情的句子。 疑问句: 用来提出问题的句子。 感叹句: 用来抒发某种强烈感情的句子。 复句、分句: 意思上有密切联系的小句子组织在一起构成一个大句子。这样的大句子叫复句,复句中的每个小句子叫分句。 构成句子的语言单位是词语,即词和短语(词组)。词即最小的能独立运用的语言单位。短语,即由两个或两个以上的词按一定的语法规则组成的表达一定意义的语言单位,也叫词组。 标点符号是书面语言的有机组成部分,是书面语言不可缺少的辅助工具。它帮助人们确切地表达思想感情和理解书面语言。 二、用法简表 名称

句号① 问号符号用法说明。?1.用于陈述句的末尾。 2.用于语气舒缓的祈使句末尾。 1.用于疑问句的末尾。 2.用于反问句的末尾。 1.用于感叹句的末尾。 叹号! 2.用于语气强烈的祈使句末尾。 3.用于语气强烈的反问句末尾。举例 xx是xx的首都。 请您稍等一下。 他叫什么名字? 难道你不了解我吗?为祖国的繁荣昌盛而奋斗!停止射击! 我哪里比得上他呀! 1.句子内部主语与谓语之间如需停顿,用逗号。我们看得见的星星,绝大多数是恒星。 2.句子内部动词与宾语之间如需停顿,用逗号。应该看到,科学需要一个人贡献出毕生的精力。 3.句子内部状语后边如需停顿,用逗号。对于这个城市,他并不陌生。 4.复句内各分句之间的停顿,除了有时要用分号据说苏州园林有一百多处,我到过的不外,都要用逗号。过十多处。 顿号、用于句子内部并列词语之间的停顿。

2时间介词in,on,at的用法

介词in on at 表示时间的用法及区别 Step1 Teaching Aims 教学生掌握时间介词in,on和at的区别及用法。 Step2 Teaching Key and Difficult Points 教学生掌握时间介词in,on和at的区别及用法。 Step3 Teaching Procedures 1.用in的场合后所接的都是较长时间 (1)表示“在某世纪/某年代/特定世纪某年代/年/季节/月”这个含义时,须用介词in Eg: This machine was invented in the eighteenth century. 这台机器是在18世纪发明的。 、 She came to this city in 1980. 他于1980年来到这个城市。 It often rains here in summer. 夏天这里常常下雨。 (2)表示“从现在起一段时间以后”时,须用介词in。(in+段时间表将来) Eg: They will go to see you in a week. 他们将在一周后去看望你。

I will be back in a month. 我将在一个月后回来。 (3)泛指一般意义的上、下午、晚上用in, in the morning / evening / afternoon Eg: They sometimes play games in the afternoon. 他们有时在下午做游戏。 Don't watch TV too much in the evening. 晚上看电视不要太多。(4)A. 当morning, evening, afternoon被of短语修饰,习惯上应用on, 而不用in. Eg: on the afternoon of August 1st & B. 但若前面的修饰词是early, late时,虽有of短语修饰,习惯上应用in, 而不用on. Eg: in the early morning of September 10th 在9月10的清晨; Early in the morning of National Day, I got up to catch the first bus to the zoo. 国庆节一清早,我便起床去赶到动物园的第一班公共汽车。 2.用on的场合后所接的时间多与日期有关 (1)表示“在具体的某一天”或(在具体的某一天的)早上、中午、晚上”,或“在某一天或某一天的上午,下午,晚上”等,须用介

翻译中的归化与异化

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介词in-on-at在表示时间时的用法

介词in, on, at在表示时间时的用法区别 ①in时间范围大(一天以上)如:in Tanuary, in winter, in 1999;泛指在上午,下午,晚上,如:in the morning(afternoon, evening). 习惯用法:in the daytime 在白天。 ②on指在某一天或某一天的上午,下午,晚上,如:on Monday, on Sunday afternoon, on July 1, 1999 ③at时间最短,一般表示点时间,如at six o’clock, at three thirty.习惯用法:at night, at noon, at this time of year. in, on和at在表达时间方面的区别 in 表示在某年、某季节、某月、某周、某天和某段时间 in a year在一年中 in spring 在春季 in September 在九月 in a week 在一周中 in the morning/afternoon/evening 在上午/下午/傍晚 但在中午,在夜晚则用at noon/night on 表示某一天或某一天的某段时间 on Monday 在周一 on Monday afternoon 在周一下午 on March 7th 在3月7日 on March 7th, 1998. 在1998年3月7日 on the morning of March 7th, 1998. 在1998年3月7日上午

at 表示某个具体时刻。 at eight o’clock 在8点钟 at this time of the year 在一年中的这个时候 at the moment 在那一时刻 at that time 在那时 注意:在英语中,如果时间名词前用this, last, next 等修饰时,像这样的表示,“在某时”的时间短语前,并不需要任何介词。 例如:last month, last week, this year, this week, next year, the next day, the next year 等。 1.What’s the weather like in spring/summer/autumn/winter in your country? 你们国家春天/夏天/秋天/冬天的天气怎么样? in 在年、月、周较长时间内 in a week 在里面 in the room 用某种语言 in English 穿着 in red on 某日、某日的上下午on Sunday afternoon 在……上面 on the desk 靠吃……为生live on rice 关于 a book on Physics 〔误〕We got to the top of the mountain in daybreak. 〔正〕We got to the top of the mountain at day break. 〔析〕at用于具体时刻之前,如:sunrise, midday, noon, sunset, midnight, night。〔误〕Don't sleep at daytime 〔正〕Don't sleep in daytime. 〔析〕in 要用于较长的一段时间之内,如:in the morning / afternoon, 或in the week / month / year. 或in spring / supper /autumn / winter等等。 〔误〕We visited the old man in Sunday afternoon. 〔正〕We visited the old man on Sunday afternoon. 〔析〕in the morning, in the afternoon 如果在这两个短语中加入任何修饰词其前面的介

翻译的归化与异化

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翻译的归化与异化 作者:熊启煦 作者单位:西南民族大学,四川,成都,610041 刊名: 西南民族大学学报(人文社科版) 英文刊名:JOURNAL OF SOUTHWEST UNIVERSITY FOR NATIONALITIES(HUMANITIES AND SOCIAL SCIENCE) 年,卷(期):2005,26(8) 被引用次数:14次 参考文献(3条) 1.鲁迅且介亭杂文二集·题未定草 2.刘英凯归化--翻译的歧路 3.钱钟书林纾的翻译 引证文献(15条) 1.郭锋一小议英语翻译当中的信达雅[期刊论文]-青春岁月 2011(4) 2.许丽红论汉英语言中的文化差异与翻译策略[期刊论文]-考试周刊 2010(7) 3.王笑东浅谈汉英语言中的差异与翻译方法[期刊论文]-中国校外教育(理论) 2010(6) 4.王宁中西语言中的文化差异与翻译[期刊论文]-中国科技纵横 2010(12) 5.鲍勤.陈利平英语隐喻类型及翻译策略[期刊论文]-云南农业大学学报(社会科学版) 2010(2) 6.罗琴.宋海林浅谈汉英语言中的文化差异及翻译策略[期刊论文]-内江师范学院学报 2010(z2) 7.白蓝跨文化视野下文学作品的英译策略[期刊论文]-湖南社会科学 2009(5) 8.王梦颖探析汉英语言中的文化差异与翻译策略[期刊论文]-中国校外教育(理论) 2009(8) 9.常晖英汉成语跨文化翻译策略[期刊论文]-河北理工大学学报(社会科学版) 2009(1) 10.常晖对翻译文化建构的几点思考[期刊论文]-牡丹江师范学院学报(哲学社会科学版) 2009(4) 11.常晖认知——功能视角下隐喻的汉译策略[期刊论文]-外语与外语教学 2008(11) 12.赵勇刚汉英语言中的文化差异与翻译策略[期刊论文]-时代文学 2008(6) 13.常晖.胡渝镛从文化角度看文学作品的翻译[期刊论文]-重庆工学院学报(社会科学版) 2008(7) 14.曾凤英从文化认知的视角谈英语隐喻的翻译[期刊论文]-各界 2007(6) 15.罗琴.宋海林浅谈汉英语言中的文化差异及翻译策略[期刊论文]-内江师范学院学报 2010(z2) 本文链接:https://www.doczj.com/doc/958357289.html,/Periodical_xnmzxyxb-zxshkxb200508090.aspx

归化与异化翻译实例

翻译作业10 Nov 15 一、请按归化法(Domestication)翻译下列习语。 Kill two birds with one stone a wolf in sheep’s clothing strike while the iron is hot. go through fire and water add fuel to the flames / pour oil on the flames spring up like mushrooms every dog has his day keep one’s head above water live a dog’s life as poor as a church mouse a lucky dog an ass in a lion’s skin a wolf in sheep’s clothing Love me, love my dog. a lion in the way lick one’s boots as timid as a hare at a stone’s throw as stupid as a goose wet like a drown rat as dumb as an oyster lead a dog’s life talk horse One boy is a boy, two boys half a boy, and three boys nobody. Man proposes, God disposes. Cry up wine and sell vinegar (cry up, to praise; extol: to cry up one's profession) Once bitten, twice shy. An hour in the morning is worth two in the evening. New booms sweep clean. take French leave seek a hare in a hen’s nest have an old head on young shoulder Justice has long arms You can’t teach an old dog Rome was not built in a day. He that lives with cripples learns to limp. Everybody’s business is nobody’s business. The more you get, the more you want. 二、请按异化法(foreignization)翻译下列习语。 Kill two birds with one stone a wolf in sheep’s clothing

inonat的时间用法和地点用法版

精心整理in,on,at的时间用法和地点用法 一、in,on,at的时间用法 1、固定短语: inthemorning/afternoon/evening在早晨/下午/傍晚, 2 (on thenextmonth第二个月(以过去为起点的第二个月,nextmonth以现在为起点的下个月) everyday每天 onemorning一天早晨 yesterdayafternoon昨天下午

tomorrowmorning明天早晨 allday/morning/night整天/整个早晨/整晚(等于thewholeday/morning/night)mostofthetime(在)大多数时间 3、一般规则 除了前两点特殊用法之外,其他≤一天,用on,>一天用in,在具体时刻或在某时用at(不强调时间范围) 关于 On 1 2) 3) (注意:节日里有表人的词汇先复数再加s’所有格,如 onChildren’sDay,onWomen’sDay,onTeachers’Day有四个节日强调单数之意思,onMother’sDay,onFather’sDay,onAprilFool’sDay,onValentine’sDay) 星期、onSunday在周日,onSundaymorning在周日早晨onthelastFridayofeachmonth在每个月的最后一个星期五

日期、onJune2nd在六月二日 onthesecond(ofJune2nd)在六月的第二天即在六月二日onthemorningofJune2nd在六月二日的早晨,onarainymorning在一个多雨的早晨 onacertainday在某天 onthesecondday在第二天(以过去某天为参照) 关于 In 1 2) InJune在六月 inJune,2010在2010年六月 in2010在2010年 inamonth/year在一个月/年里(在将来时里翻译成一个月/年之后) inspring在春天

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