關(guān)聯(lián)電子模型中的有限尺度效應(yīng)

內(nèi)容概要

　　《中外物理學(xué)精品書系·引進(jìn)系列8·關(guān)聯(lián)電子模型中的有限尺度效應(yīng)：精確結(jié)果（影印版）》系內(nèi)容豐富，涵蓋面廣，可讀性強(qiáng)，其中既有對我國傳統(tǒng)物理學(xué)發(fā)展的梳理和總結(jié)，也有對正在蓬勃發(fā)展的物理學(xué)前沿的全面展示；既引進(jìn)和介紹了世界物理學(xué)研究的發(fā)展動態(tài)，也面向國際主流領(lǐng)域傳播中國物理的優(yōu)秀專著?？梢哉f，《中外物理學(xué)精品書系》力圖完整呈現(xiàn)近現(xiàn)代世界和中國物理科學(xué)發(fā)展的全貌，是一部目前國內(nèi)為數(shù)不多的兼具學(xué)術(shù)價值和閱讀樂趣的經(jīng)典物理叢書?！　　吨型馕锢韺W(xué)精品書系》另一個突出特點是，在把西方物理的精華要義“請進(jìn)來”的同時，也將我國近現(xiàn)代物理的優(yōu)秀成果“送出去”。物理學(xué)科在世界范圍內(nèi)的重要性不言而喻，引進(jìn)和翻譯世界物理的經(jīng)典著作和前沿動態(tài)，可以滿足當(dāng)前國內(nèi)物理教學(xué)和科研工作的迫切需求。另一方面，改革開放幾十年來，我國的物理學(xué)研究取得了長足發(fā)展，一大批具有較高學(xué)術(shù)價值的著作相繼問世。這套叢書首次將一些中國物理學(xué)者的優(yōu)秀論著以英文版的形式直接推向國際相關(guān)研究的主流領(lǐng)域，使世界對中國物理學(xué)的過去和現(xiàn)狀有更多的深入了解，不僅充分展示出中國物理學(xué)研究和積累的“硬實力”，也向世界主動傳播我國科技文化領(lǐng)域不斷創(chuàng)新的“軟實力”，對全面提升中國科學(xué)、教育和文化領(lǐng)域的國際形象起到重要的促進(jìn)作用?！　≈档靡惶岬氖?，《中外物理學(xué)精品書系》還對中國近現(xiàn)代物理學(xué)科的經(jīng)典著作進(jìn)行了全面收錄?！吨型馕锢韺W(xué)精品書系·引進(jìn)系列8·關(guān)聯(lián)電子模型中的有限尺度效應(yīng)：精確結(jié)果（影印版）》的編者們在這方面下了很大工夫，對中國物理學(xué)科不同時期、不同分支的經(jīng)典著作進(jìn)行了系統(tǒng)的整理和收錄。這項工作具有非常重要的學(xué)術(shù)意義和社會價值，不僅可以很好地保護(hù)和傳承我國物理學(xué)的經(jīng)典文獻(xiàn)，充分發(fā)揮其應(yīng)有的傳世育人的作用，更能使廣大物理學(xué)人和青年學(xué)子切身體會我國物理學(xué)研究的發(fā)展脈絡(luò)和優(yōu)良傳統(tǒng)，真正領(lǐng)悟到老一輩科學(xué)家嚴(yán)謹(jǐn)求實、追求卓越、博大精深的治學(xué)之美。

作者簡介

作者：（烏克蘭）茲維亞金（ZVyagin A.A.）

書籍目錄

Preface 1.Introduction 1.1 Why is the Topic of the Book Worthwhile Studying? 1.2 Thermodynamics 1.3 Statistical Mechanics：Simple Models. 1.4 Mermin-Hohenberg Theorem 2.Quantum Spin-1/2 Chain with the Nearest-Neighbour Couplings 2.1 0ne—Dimensional Spin Hamiltonian 2.2 Ising Chain. 2.3 Isotropic XY Rin9. 2.4 Ising Chain in a Transverse Magnetic Field 2.5 Dimerized XY Chain 3.Co—ordinate Bethe Ansatz for a Heisenberg-Ising Ring 3.1 Bethe Ansatz 3.2 Simple Solutions of the Bethe Ansatz Equations：Strings. 3.3 Thermodynamic Bethe Ansatz 3.4 The Ground State Behaviour 3.5 Magnetic Field Behaviour in the Ground State：Wiener—Hopf Method 4.Correlated Electron Chains：Co-ordinate Bethe Ansatz 4.1 Hubbard Chain 4.2 t-J Chain 5. Algebraic Bethe Ansatz 5.1 The Algebraic Bethe Ansatz for a Spin-1/2Chain 5.2 su(2)-Symmetric Spin—S Chain 5.3 The Algebraic Bethe Ansatz for Correlated Electron Models 6. Correlated Quantum Chains with Open Boundary Conditions 6.1 Open Boundaries.XY and Ising Chains 6.2 Open Boundaries： C0—ordinate Bethe Ansatz for the Heisenberg——Ising Chain 6.3 Open Boundaries.The Algebraic Bethe Ansatz 6.4 Open Hubbard Chain 6.5 Open Supersymmetric t-J Chain 7. Correlated Quantum Chains with Isolated Impurities 7.1 Impurities in XY Chains 7.2 Impurities in Spin Chains：Bethe Ansatz. 7.3 Impurity in Correlated Electron Chains 8.Correlated Quantum Chains with a Finite Concentration of Impurities 8.1 Impurities'Bands. 8.2 Disodered Ensembles of Impurities in Correlated Chains."Quantum Transfer Matrix"Approach 9.Finite Size Corrections in Quantum Correlated Chains 9.1 Finite Size Corrections for Quantum Spin Chains. 9.2 Finite Size Corrections for Correlated Electron Chains 9.3 Elements of Conformal Field Theory 9.4 Asymptotics of Correlation Functions. 9.5 Persistent Currents in Correlated Electron Rings 10.Beyond the Integrability：Approximate Methods 10.1 Scaling Analysis. 10.2 Bosonization. Bibliography Index

章節(jié)摘錄

版權(quán)頁：   插圖：   Summarizing, in this chapter we presented the calculation of finite-sizecorrections to characteristics of exactly solvable models of quantum spinsand correlated electrons with periodic and open boundary conditions, withand without inhomogeneities. We reminded the reader the main featuresof the description of critical phenomena and conformal field theory. Thelatter was used to calculate the asymptotic behaviour of low-energy corre-lation functions of considered models. Also, another finite-size effect, thebehaviour of persistent currents for periodic correlated electron chains isstudied. The calculation of finite size corrections for Bethe ansatz-solvable mod-els was pioneered in [de Vega and Woynarovich (1985)]. The reader canfind calculations of finite size corrections for quantum correlated chains,e.g., in [Woynarovich, Eckle and Truong (1989); Woynarovich (1989);Klümper, Batchelor and Pearce (1991); Pearce and Kliimper (1991);Kawakami and Yang (1991); Barley, Klümper, Schadschneider and Zittartz(1993); Bariev (1994)], homogeneous chains with periodic (twisted) bound-ary conditions, in [Alcaraz, Barber, Batchelor, Baxter and Quispel (1987);Asakawa and Suzuki (1995); Frahm and Zvyagin (1997a); Bediirftig andFrahm (1997)] for chains with open boundary conditions, see also [Frahmand Zvyagin (19975); Zvyagin (2002); Zvyagin (2003)] for quantum chainswith impurities. The dressed charge technique was introduced in [Korepin(1979)]. I can suggest the use of, e.g., the well-known books [Ma (1976);Cardy (1996); Kadanoff (2000); Sachdev (1999)] for the description of crit-ical phenomena in the vicinity of a phase transition. The scaling hy-pothesis was introduced in [Widom (1965a); Widom (19655)], see also[Rushbrooke (1963)], and developed in [Griffiths (1965); Kadanoff (1966);Josephson (1967a); Josephson (1967b); Fisher (1969)]. The conformal fieldtheory was pioneered in [Belavin, Polyakov and Zamolodchikov (1984)].

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《關(guān)聯(lián)電子模型中的有限尺度效應(yīng):精確結(jié)果(影印版)》適合凝聚態(tài)物理以及相關(guān)領(lǐng)域的研究者和研究生閱讀。

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