Density matrices for finite segments of Heisenberg chains of arbitrary length

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 17, 2007, Pages 4439-4453

  Damerau, Jens ^a   Göhmann, Frank ^a   Hasenclever, Nils P ^a   Klümper, Andreas ^a  

^a UNIVERSITY OF WUPPERTAL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34548743208     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/17/002     Document Type: Article

References (17)

1. Baxter R J 1982 Exactly Solved Models in Statistical Mechanics (London: Academic)
2. 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
3. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y 2005 A recursion formula for the correlation functions of an inhomogeneous XXX model Algebra Anal. 17 115
4. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y 2006 Algebraic representation of correlation functions in integrable spin chains Ann. Henri Poincaré 7 1395
5. Boos H, Jimbo M, Miwa T, Smirnov F and Takeyama Y 2006 Density matrix of a finite sub-chain of the Heisenberg anti-ferromagnet Lett. Math. Phys. 75 201
6. 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
7. Boos H E and Korepin V E 2001 Quantum spin chains and Riemann zeta function with odd arguments J. Phys. A: Math. Gen. 34 5311
8. 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
9. Boukraa S, Hassani S, Maillard J-M,McCoy BM, OrrickWP and Zenine N 2007 Holonomy of the Ising model form factors J. Phys. A: Math. Theor. 40 75
10. Göhmann F, Hasenclever N P and Seel A 2005 The finite temperature density matrix and two-point correlations in the antiferromagnetic XXZ chain J. Stat. Mech. P10015
11. 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
12. 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
13. Göhmann F and Korepin V E 2000 Solution of the quantum inverse problem J. Phys. A: Math. Gen. 33 1199
14. Hulthén L 1938 Ü ber das Austauschproblem eines Kristalles Arkiv för Matematik, Astronomi och Fysik A 26 A1
15. Jimbo M, Miki K, Miwa T and Nakayashiki A 1992 Correlation functions of the XXZ model forΔ <-1 Phys. Lett. A 168 256
16. Jimbo M and Miwa T 1996 Quantum KZ equation with |q| = 1 and correlation functions of the XXZ model in the gapless regime J. Phys. A: Math. Gen. 29 2923
17. Kitanine N, Maillet J M, Slavnov N A and Terras V 2005 Master equation for spin-spin correlation functions of the XXZ chain Nucl. Phys. B 712 600