Entanglement entropy in the two-dimensional random transverse field Ising model

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 14, 2008, Pages

  Yu, Rong ^a,b   Saleur, Hubert ^a,c   Haas, Stephan ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

^c CEA SACLAY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 42649123677     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.140402     Document Type: Article

References (32)

1. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003).
2. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 10.1103/PhysRevLett.90.227902 4, 48 (2004).
3. G. Refael and J. E. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.260602 93, 260602 (2004).
4. N. Laflorencie, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.140408 72, 140408 (R) (2005).
5. S. O. Skrøvseth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.062305 72, 062305 (2005).
6. M. Cramer, J. Eisert, M. B. Plenio, and J. Dreissig, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012309 73, 012309 (2006).
7. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2004, P06002 (2004).
8. M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060503 94, 060503 (2005).
9. M. M. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 010404 96, 010404 (2006);
10. D. Gioev and I. Klich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100503 96, 100503 (2006).
11. W. Li, L. Ding, R. Yu, T. Roscilde, and S. Haas, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.74.073103 74, 073103 (2006).
12. T. Barthel, M.-C. Chung, and U. Schollwöck, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.022329 74, 022329 (2006);
13. M. Cramer, J. Eisert, and M. B. Plenio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.220603 98, 220603 (2007).
14. M. Levin and X. G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405 96, 110405 (2006);
15. A. Kitaev and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404 96, 110404 (2006).
16. E. Fradkin and J. E. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050404 97, 050404 (2006).
17. N. E. Bonesteel and Kun Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.140405 99, 140405 (2007);
18. G. Refael and J. E. Moore, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.024419 76, 024419 (2007);
19. A. Saguia, M. S. Sarandy, B. Boechat, and M. A. Continentino, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.052329 75, 052329 (2007).
20. F. Iglói, R. Juhász, and Z. Zimborás, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/79/37001 79, 37001 (2007).
21. F. Iglói and C. Monthus, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2005.02.006 412, 277 (2005).
22. C. Pich, A. P. Young, H. Rieger, and N. Kawashima, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5916 81, 5916 (1998).
23. O. Motrunich, S.-C. Mau, D. A. Huse, and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.1160 61, 1160 (2000).
24. D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.3799 50, 3799 (1994);
25. D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.6411 51, 6411 (1995).
26. D. Karevski, Y.-C. Lin, H. Rieger, N. Kawashima, and F. Iglói, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/PL00011100 20, 267 (2001).
27. Y.-C. Lin, N. Kawashima, F. Iglói, and H. Rieger, Prog. Theor. Phys. Suppl. PTPSEP 0375-9687 10.1143/PTPS.138.479 138, 479 (2000).
28. Y.-C. Lin, F. Iglói, and H. Rieger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.147202 99, 147202 (2007).
29. B. Nienhuis, in Phase Transitions and Critical Phenomena, edited by, C. Domb, and, J. L. Lebowitz, (Academic, New York, 1988), Vol. 11.
30. J. Cardy, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(89)90521-X 324, 581 (1989).
31. J. L. Jacobsen and H. Saleur, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb.2007.06.029 788, 137 (2008).
32. J. Cardy, arXiv:math-ph/0103018 (unpublished).