Short-distance thermal correlations in the XXZ chain

Journal of Statistical Mechanics: Theory and Experiment

Volumn 2008, Issue 8, 2008, Pages

  Boos, Herman E ^a   Damerau, Jens ^a   Göhmann, Frank ^a   Klümper, Andreas ^a   Suzuki, Junji ^b   Weiße, Alexander ^c  

^a UNIVERSITY OF WUPPERTAL   (Germany)

^b SHIZUOKA UNIVERSITY   (Japan)

^c UNIVERSITY OF GREIFSWALD   (Germany)

Author keywords

Correlation functions; Integrable spin chains (vertex models); Quantum integrability (Bethe ansatz); Thermodynamic Bethe ansatz

Indexed keywords

EID: 51349088126     PISSN: 17425468     EISSN: 17425468     Source Type: Journal    
DOI: 10.1088/1742-5468/2008/08/P08010     Document Type: Article

References (21)

1. Boos H, Göhmann F, Klümper A and Suzuki J 2006 Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain J. Stat. Mech. P04001
2. Boos H, Göhmann F, Klümper A and Suzuki J 2007 Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field J. Phys. A: Math. Theor. 40 10699
3. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y 2006 Reduced qKZ equation and correlation functions of the XXZ model Commun. Math. Phys. 261 245
4. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y 2007 Fermionic basis for space of operators in the XXZ model Preprint hep-th/0702086
5. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y 2007 Hidden Grassmann structure in the XXZ model Commun. Math. Phys. 272 263
6. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y 2008 Hidden Grassmann structure in the XXZ model II: creation operators Preprint 0801.1176
7. Bortz M and Göhmann F 2005 Exact thermodynamic limit of short range correlation functions of the antiferromagnetic XXZ chain at finite temperatures Eur. Phys. J. B 46 399
8. Fabricius K and McCoy BM 1999 Quantum-classical crossover in the spin-1/2 XXZ chain Phys. Rev. B 59 381
9. Göhmann F, Klümper A and Seel A 2004 Integral representations for correlation functions of the XXZ chain at finite temperature J. Phys. A: Math. Gen. 37 7625
10. Göhmann F, Klümper A and Seel A 2005 Integral representation of the density matrix of the XXZ chain at finite temperature J. Phys. A: Math. Gen. 38 1833
11. Göhmann F and Seel A 2006 XX and Ising limits in integral formulae for finite temperature correlation functions of the XXZ chain Theor. Math. Phys. 146 119
12. Jackson D 1912 On approximation by trigonometric sums and polynomials Trans. Am. Math. Soc. 13 491
13. Kato G, Shiroishi M, Takahashi M and Sakai K 2003 Next-nearest-neighbour correlation functions of the spin-1/2 XXZ chain at the critical region J. Phys. A: Math. Gen. 36 L337
14. Kato G, Shiroishi M, Takahashi M and Sakai K 2004 Third-neighbour and other four-point correlation functions of spin-1/2 XXZ chain J. Phys. A: Math. Gen. 37 5097
15. Klümper A 1992 Free energy and correlation length of quantum chains related to restricted solid-on-solid lattice models Ann. Phys. 1 540
16. Klümper A 1993 Thermodynamics of the anisotropic spin-1/2 Heisenberg chain and related quantum chains Z. Phys. B 91 507
17. Lanczos C 1950 An iteration method for the solution of the eigenvalue problem of linear differential and integral operators J. Res. Nat. Bur. Stand. 45 255
18. Tsuboi Z and Shiroishi M 2005 High temperature expansion of the emptiness formation probability for the isotropic Heisenberg chain J. Phys. A: Math. Gen. 38 L363
19. Vermaseren JA M 2000 New features of FORM Preprint math-ph/0010025
20. Weie A, Wellein G, Alvermann A and Fehske H 2006 The kernel polynomial method Rev. Mod. Phys. 78 275
21. Yang CN and Yang CP 1966 Ground-state energy of a Heisenberg-Ising lattice Phys. Rep. 147 303