An integrable sl(2|1) vertex model for the spin quantum Hall critical point

Journal of Physics A: Mathematical and General

Volumn 32, Issue 41, 1999, Pages 7071-7082

  Gade, R M ^a  

^a UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033569139     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/32/41/303     Document Type: Article

References (41)

1. Bundschuh R, Cassanello C, Serban D and Zirnbauer R R 1998 Localization of quasiparticles in a disordered vortex Nucl. Phys. B 532 689-732
2. c superconductors Phys. Rev. Lett. 81 4707-10
3. Altland A, Simons B D and Taras-Semchuk J P D 1998 Field theory of mesoscopic fluctuations in superconductor/normal-metal systems JETP Lett. 67 22-7 (Altland A, Simons B D and Taras-Semchuk J P D 1998 Preprint cond-mat/9807371)
4. Altland A, Simons B D and Taras-Semchuk J P D 1998 Field theory of mesoscopic fluctuations in superconductor/normal-metal systems JETP Lett. 67 22-7 (Altland A, Simons B D and Taras-Semchuk J P D 1998 Preprint cond-mat/9807371)
5. Oppermann R 1990 Anderson localization in gapless superconducting phases Physica A 167 301-12
6. c superconductors Phys. Rev. Lett. 81 4704-7 (Senthil T and Fisher M P A 1998 Preprint cond-mat/9810238)
7. c superconductors Phys. Rev. Lett. 81 4704-7 (Senthil T and Fisher M P A 1998 Preprint cond-mat/9810238)
8. Wegner F 1985 Localization and Metal-Insulator-Transitions ed H Fritzsche and D Adler (New York: Plenum) p 337
9. Wegner F 1989 Four-loop-order β-functions on nonlinear σ-models in symmetric spaces Nucl. Phys. B 316 663-78
10. Hikami S 1981 Three-loop β-functions in nonlinear σ-models on symmetric spaces Phys. Lett. B 98 208-10
11. Bundschuh R, Cassanello C, Serban D and Zirnbauer M R 1999 Weak localization of disordered quasiparticles in the mixed superconducting state Phys. Rev. B 59 4382-9
12. Kagalovsky V, Horovitz B, Avishai Y and Chalker J T 1999 Quantum Hall plateau transitions in disordered superconductors Phys. Rev. Lett. 82 3516-19 (Kagalovsky V, Horovitz B, Avishai Y and Chalker J T 1998 Preprint cond-mat/9812155)
13. Kagalovsky V, Horovitz B, Avishai Y and Chalker J T 1999 Quantum Hall plateau transitions in disordered superconductors Phys. Rev. Lett. 82 3516-19 (Kagalovsky V, Horovitz B, Avishai Y and Chalker J T 1998 Preprint cond-mat/9812155)
14. Pruisken A M M 1984 On localization in the theory of the quantized Hall effect: a two-dimensional realization of the θ-vacuum Nucl. Phys. B 235 277-98
15. Chalker J T and Coddington P D 1988 Percolation, quantum tunnelling and the integer quantum Hall transition J. Phys. C: Solid State Phys. 21 2665-79
16. Senthil T, Marston J B and Fisher M P A 1999 The spin quantum Hall effect in unconventional superconductors Phys. Rev. B 60 4245-54 (Senthil T, Marston J B and Fisher M P A 1999 Preprint cond-mat/9902062)
17. Senthil T, Marston J B and Fisher M P A 1999 The spin quantum Hall effect in unconventional superconductors Phys. Rev. B 60 4245-54 (Senthil T, Marston J B and Fisher M P A 1999 Preprint cond-mat/9902062)
18. Gruzberg I A, Ludwig A W W and Read N 1999 Exact exponents for the integer quantum Hall transition Phys. Rev. Lett. 82 4524-7 (Gruzberg I A, Ludwig A W W and Read N 1999 Preprint cond-mat/9902063)
19. Gruzberg I A, Ludwig A W W and Read N 1999 Exact exponents for the integer quantum Hall transition Phys. Rev. Lett. 82 4524-7 (Gruzberg I A, Ludwig A W W and Read N 1999 Preprint cond-mat/9902063)
20. Zirnbauer M R 1997 Towards a theory of the integer quantum Hall transition: continuum limit of the Chalker-Coddington model J. Math. Phys. 38 2007-37
21. Essler F H L and Korepin V E 1992 Higher conservation laws and algebraic Bethe ansatze for the supersymmetric t-J model Phys. Rev. B 46 9147-62
22. Bracken A J, Gould M D, Links J R and Zhang Y-Z 1995 New supersymmetric and exactly solvable model of correlated electrons Phys. Rev. Lett. 74 2768-71
23. Pfannmüller M P and Frahm H 1996 Algebraic Bethe ansatz for gl(2|1) invariant 36-vertex models Nucl. Phys. B 479 575-93
24. Jüttner G, Klümper A and Suzuki J 1998 From fusion hierarchy to excited state TBA Nucl. Phys. B 512 581-600
25. Kac V 1977 Lie super algebras Adv. Math. 26 8-96
26. Yamane H 1996 On defining relations of affine Lie super algebras and their quantized universal enveloping super algebras Preprint q-alg/960315
27. Deguchi T and Martin P P 1992 An algebraic approach to vertex models and transfer matrix spectra Int. J. Mod. Phys. (Suppl. IA) A 7 165-96
28. Zhang R B 1998 Structure and representations of the quantum general linear supergroup Commun. Math. Phys. 195 525-47
29. Deguchi T 1989 Braid group representations and Link polynomials derived from generalized SU(n) vertex models J. Phys. Soc. Japan 58 3441-4 Deguchi T and Akutsu Y 1990 Graded solutions of the Yang-Baxter relation and link polynomials J. Phys. A: Math. Gen. 23 1861-75
30. Deguchi T 1989 Braid group representations and Link polynomials derived from generalized SU(n) vertex models J. Phys. Soc. Japan 58 3441-4 Deguchi T and Akutsu Y 1990 Graded solutions of the Yang-Baxter relation and link polynomials J. Phys. A: Math. Gen. 23 1861-75
31. 4 and superconductivity Science 235 1196-8
32. 4 and superconductivity Science 235 1196-8
33. Schultz C L 1981 Solvable q-state models in lattice statistics and quantum field theory Phys. Rev. Lett. 46 629-32 Schultz C L 1983 Eigenvectors of the multicomponent generalization of the six-vertex model Physica 122 71-88 Perk J H H and Schultz C L 1981 New families of commuting transfer matrices in q-state vertex models Phys. Lett. A 84 407-10 Perk J H H and Schultz C L 1981 Nonlinear integrable systems, Classical Theory and Quantum Theory ed M Jimbo and T Miwa (Singapore: World Scientific)
34. Schultz C L 1981 Solvable q-state models in lattice statistics and quantum field theory Phys. Rev. Lett. 46 629-32 Schultz C L 1983 Eigenvectors of the multicomponent generalization of the six-vertex model Physica 122 71-88 Perk J H H and Schultz C L 1981 New families of commuting transfer matrices in q-state vertex models Phys. Lett. A 84 407-10 Perk J H H and Schultz C L 1981 Nonlinear integrable systems, Classical Theory and Quantum Theory ed M Jimbo and T Miwa (Singapore: World Scientific)
35. Schultz C L 1981 Solvable q-state models in lattice statistics and quantum field theory Phys. Rev. Lett. 46 629-32 Schultz C L 1983 Eigenvectors of the multicomponent generalization of the six-vertex model Physica 122 71-88 Perk J H H and Schultz C L 1981 New families of commuting transfer matrices in q-state vertex models Phys. Lett. A 84 407-10 Perk J H H and Schultz C L 1981 Nonlinear integrable systems, Classical Theory and Quantum Theory ed M Jimbo and T Miwa (Singapore: World Scientific)
36. Schultz C L 1981 Solvable q-state models in lattice statistics and quantum field theory Phys. Rev. Lett. 46 629-32 Schultz C L 1983 Eigenvectors of the multicomponent generalization of the six-vertex model Physica 122 71-88 Perk J H H and Schultz C L 1981 New families of commuting transfer matrices in q-state vertex models Phys. Lett. A 84 407-10 Perk J H H and Schultz C L 1981 Nonlinear integrable systems, Classical Theory and Quantum Theory ed M Jimbo and T Miwa (Singapore: World Scientific)
37. Suzuki J, Akutsu Y and Wadati M 1990 A new approach to quantum spin chains at finite temperature J. Phys. Soc. Japan 59 2667-80
38. Faddeev L D 1996 How algebraic Bethe ansatz works for integrable lattice models Les Houches Lectures Preprint hep-th/9605187
39. Bedürftig G and Frahm H 1999 Open t-J chain with boundary impurities J. Phys. A: Math. Gen. 32 4585-91 (Bedürftig G and Frahm H 1999 Preprint cond-mat/9903202)
40. Bedürftig G and Frahm H 1999 Open t-J chain with boundary impurities J. Phys. A: Math. Gen. 32 4585-91 (Bedürftig G and Frahm H 1999 Preprint cond-mat/9903202)
41. Kauffman L H 1987 On Knots (Princeton, NJ: Princeton University Press)