Fermionization transform for certain higher-dimensional quantum spin models

Physical Review B - Condensed Matter and Materials Physics

Volumn 82, Issue 6, 2010, Pages

  Galitski, Victor ^a  

^a Bldg 142   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77957604128     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.82.060411     Document Type: Article

References (23)

1. A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer-Verlag, New York, 1994).
2. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2006).
3. P. Jordan and E. P. Wigner, Z. Phys. 47, 631 (1928). 10.1007/BF01331938
4. E. Fradkin, Phys. Rev. Lett. 63, 322 (1989). 10.1103/PhysRevLett.63.322
5. X. Dai and Z. bin Su, Phys. Rev. B 57, 964 (1998). 10.1103/PhysRevB.57. 964
6. T. S. Nunner and T. Kopp, Phys. Rev. B 69, 104419 (2004). 10.1103/PhysRevB.69.104419
7. M. Cheng, K. Sun, V. Galitski, and S. Das Sarma, Phys. Rev. B 81, 024504 (2010). 10.1103/PhysRevB.81.024504
8. A. Y. Kitaev, Usp. Fiz. Nauk 44, 131 (2001). 10.1070/1063-7869/44/10S/S29
9. Interaction terms that involve any long-range intrachain couplings but only short-range interchain couplings would still comply with the imposed requirements. However, such "admissible" long-range interactions are not included in model.
10. V. M. Galitski, G. Refael, M. P. A. Fisher, and T. Senthil, Phys. Rev. Lett. 95, 077002 (2005). 10.1103/PhysRevLett.95.077002
11. V. J. Emery, E. Fradkin, S. A. Kivelson, and T. C. Lubensky, Phys. Rev. Lett. 85, 2160 (2000). 10.1103/PhysRevLett.85.2160
12. A. Vishwanath and D. Carpentier, Phys. Rev. Lett. 86, 676 (2001). 10.1103/PhysRevLett.86.676
13. R. Mukhopadhyay, C. L. Kane, and T. C. Lubensky, Phys. Rev. B 64, 045120 (2001). 10.1103/PhysRevB.64.045120
14. A. Paramekanti, L. Balents, and M. P. A. Fisher, Phys. Rev. B 66, 054526 (2002). 10.1103/PhysRevB.66.054526
15. O. I. Motrunich and M. P. A. Fisher, Phys. Rev. B 75, 235116 (2007). 10.1103/PhysRevB.75.235116
16. D. N. Sheng, O. I. Motrunich, and M. P. A. Fisher, Phys. Rev. B 79, 205112 (2009). 10.1103/PhysRevB.79.205112
17. R. W. Richardson, Phys. Lett. 3, 277 (1963) 10.1016/0031-9163(63)90259-2
18. R. W. Richardson, Phys. Lett. 5, 82 (1963) 10.1016/S0375-9601(63)80039-0
19. R. W. Richardson and N. Sherman, Nucl. Phys. 52, 221 (1964). 10.1016/0029-5582(64)90687-X
20. V. Galitski, Phys. Rev. B 82, 054511 (2010). 10.1103/PhysRevB.82.054511
21. P. W. Anderson, Phys. Rev. 112, 1900 (1958). 10.1103/PhysRev.112.1900
22. L. Balents and A. Paramekanti, Phys. Rev. B 67, 134427 (2003). 10.1103/PhysRevB.67.134427
23. A. A. Burkov, Phys. Rev. B 81, 125111 (2010). 10.1103/PhysRevB.81.125111