SCOPUS 정보 검색 플랫폼

Physical Review Letters

Volumn 110, Issue 23, 2013, Pages

Topological characterization of fractional quantum hall ground states from microscopic hamiltonians

(3) Zaletel, Michael P a Mong, Roger S K a,b Pollmann, Frank c

a UNIVERSITY OF CALIFORNIA (United States)

b California Institute of Technology (United States)

c MAX PLANCK INSTITUT FÜR PHYSIK KOMPLEXER SYSTEME (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY MATRIX RENORMALIZATION GROUP; DENSITY MATRIX RENORMALIZATION GROUP METHODS; FRACTIONAL QUANTUM HALL STATE; INFINITE CYLINDERS; MATRIX PRODUCT STATE; MICROSCOPIC HAMILTONIANS; QUANTUM DIMENSION; TOPOLOGICAL CHARGES;

GROUND STATE; QUANTUM ENTANGLEMENT; STATISTICAL MECHANICS;

TOPOLOGY;

EID: 84878697028 PISSN: 00319007 EISSN: 10797114 Source Type: Journal
DOI: 10.1103/PhysRevLett.110.236801 Document Type: Article

Times cited : (275)

References (51)

1
- 0000145935
- IJPBEV 0217-9792 10.1142/S0217979290000139
- X.-G. Wen, Int. J. Mod. Phys. B 04, 239 (1990). IJPBEV 0217-9792 10.1142/S0217979290000139
- (1990) Int. J. Mod. Phys. B , vol.4 , pp. 239
- Wen, X.-G.¹

2
- 33744712217
- PRBMDO 0163-1829 10.1103/PhysRevB.41.9377
- X. G. Wen and Q. Niu, Phys. Rev. B 41, 9377 (1990). PRBMDO 0163-1829 10.1103/PhysRevB.41.9377
- (1990) Phys. Rev. B , vol.41 , pp. 9377
- Wen, X.G.¹ Niu, Q.²

3
- 35949019065
- PRLTAO 0031-9007 10.1103/PhysRevLett.48.1559
- D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.48.1559
- (1982) Phys. Rev. Lett. , vol.48 , pp. 1559
- Tsui, D.C.¹ Stormer, H.L.² Gossard, A.C.³

4
- 0037268624
- Fault-tolerant quantum computation by anyons
- DOI 10.1016/S0003-4916(02)00018-0, PII S0003491602000180
- A. Y. Kitaev, Ann. Phys. (Amsterdam) 303, 2 (2003). APNYA6 0003-4916 10.1016/S0003-4916(02)00018-0 (Pubitemid 36177417)
- (2003) Annals of Physics , vol.303 , Issue.1 , pp. 2-30
- Kitaev, A.Yu.¹

5
- 18144395852
- Topologically protected qubits from a possible non-abelian fractional quantum hall state
- DOI 10.1103/PhysRevLett.94.166802, 166802
- S. Das Sarma, M. Freedman, and C. Nayak, Phys. Rev. Lett. 94, 166802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.166802 (Pubitemid 40620334)
- (2005) Physical Review Letters , vol.94 , Issue.16 , pp. 1-4
- Sarma, S.D.¹ Freedman, M.² Nayak, C.³

6
- 32644462561
- Detecting non-abelian statistics in the î=5/2 fractional quantum hall state
- DOI 10.1103/PhysRevLett.96.016803
- P. Bonderson, A. Kitaev, and K. Shtengel, Phys. Rev. Lett. 96, 016803 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.016803 (Pubitemid 43248386)
- (2006) Physical Review Letters , vol.96 , Issue.1 , pp. 016803
- Bonderson, P.¹ Kitaev, A.² Shtengel, K.³

7
- 52249107842
- RMPHAT 0034-6861 10.1103/RevModPhys.80.1083
- C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Das Sarma, Rev. Mod. Phys. 80, 1083 (2008). RMPHAT 0034-6861 10.1103/RevModPhys.80.1083
- (2008) Rev. Mod. Phys. , vol.80 , pp. 1083
- Nayak, C.¹ Simon, S.H.² Stern, A.³ Freedman, M.⁴ Das Sarma, S.⁵

8
- 22244440948
- PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
- R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1395
- (1983) Phys. Rev. Lett. , vol.50 , pp. 1395
- Laughlin, R.B.¹

9
- 0001105814
- PRLTAO 0031-9007 10.1103/PhysRevLett.50.1219
- D. Yoshioka, B. I. Halperin, and P. A. Lee, Phys. Rev. Lett. 50, 1219 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1219
- (1983) Phys. Rev. Lett. , vol.50 , pp. 1219
- Yoshioka, D.¹ Halperin, B.I.² Lee, P.A.³

10
- 33744723980
- PRLTAO 0031-9007 10.1103/PhysRevLett.51.605
- F. D. M. Haldane, Phys. Rev. Lett. 51, 605 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.51.605
- (1983) Phys. Rev. Lett. , vol.51 , pp. 605
- Haldane, F.D.M.¹

11
- 33645151438
- PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
- A. Kitaev and J. Preskill, Phys. Rev. Lett. 96, 110404 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
- (2006) Phys. Rev. Lett. , vol.96 , pp. 110404
- Kitaev, A.¹ Preskill, J.²

12
- 33645161396
- PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405
- M. Levin and X.-G. Wen, Phys. Rev. Lett. 96, 110405 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405
- (2006) Phys. Rev. Lett. , vol.96 , pp. 110405
- Levin, M.¹ Wen, X.-G.²

13
- 46949084674
- PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504
- H. Li and F. D. M. Haldane, Phys. Rev. Lett. 101, 010504 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504
- (2008) Phys. Rev. Lett. , vol.101 , pp. 010504
- Li, H.¹ Haldane, F.D.M.²

14
- 77955335626
- NJOPFM 1367-2630 10.1088/1367-2630/12/7/075004
- A. M. Laeuchli, E. J. Bergholtz, and M. Haque, New J. Phys. 12, 075004 (2010). NJOPFM 1367-2630 10.1088/1367-2630/12/7/075004
- (2010) New J. Phys. , vol.12 , pp. 075004
- Laeuchli, A.M.¹ Bergholtz, E.J.² Haque, M.³

15
- 79551582904
- PRLTAO 0031-9007 10.1103/PhysRevLett.106.056801
- Z. Papić, B. A. Bernevig, and N. Regnault, Phys. Rev. Lett. 106, 056801 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.106.056801
- (2011) Phys. Rev. Lett. , vol.106 , pp. 056801
- Papić, Z.¹ Bernevig, B.A.² Regnault, N.³

16
- 84863312083
- PRBMDO 1098-0121 10.1103/PhysRevB.85.235151
- Y. Zhang, T. Grover, A. Turner, M. Oshikawa, and A. Vishwanath, Phys. Rev. B 85, 235151 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.235151
- (2012) Phys. Rev. B , vol.85 , pp. 235151
- Zhang, Y.¹ Grover, T.² Turner, A.³ Oshikawa, M.⁴ Vishwanath, A.⁵

17
- 84871064601
- PRBMDO 1098-0121 10.1103/PhysRevB.86.245305
- M. P. Zaletel and R. S. K. Mong, Phys. Rev. B 86, 245305 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.86.245305
- (2012) Phys. Rev. B , vol.86 , pp. 245305
- Zaletel, M.P.¹ Mong, R.S.K.²

18
- 84876249282
- PRBMDO 1098-0121 10.1103/PhysRevB.87.161112
- B. Estienne, Z. Papic, N. Regnault, and B. A. Bernevig, Phys. Rev. B 87, 161112(R) (2013). PRBMDO 1098-0121 10.1103/PhysRevB.87.161112
- (2013) Phys. Rev. B , vol.87
- Estienne, B.¹ Papic, Z.² Regnault, N.³ Bernevig, B.A.⁴

19
- 3442895828
- PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
- S. R. White, Phys. Rev. Lett. 69, 2863 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.2863
- (1992) Phys. Rev. Lett. , vol.69 , pp. 2863
- White, S.R.¹

20
- 17644431771
- Ground-state phase diagram of 2D electrons in a high Landau level: A density-matrix renormalization group study
- DOI 10.1103/PhysRevLett.86.5755
- N. Shibata and D. Yoshioka, Phys. Rev. Lett. 86, 5755 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.5755 (Pubitemid 32577024)
- (2001) Physical Review Letters , vol.86 , Issue.25 , pp. 5755-5758
- Shibata, N.¹ Yoshioka, D.²

21
- 84878736317
- arXiv:cond-mat/0304517.
- E. J. Bergholtz and A. Karlhede, arXiv:cond-mat/0304517.
- Bergholtz, E.J.¹ Karlhede, A.²

22
- 42549147368
- Density matrix renormalization group study of incompressible fractional quantum hall states
- DOI 10.1103/PhysRevLett.100.166803
- A. E. Feiguin, E. Rezayi, C. Nayak, and S. Das Sarma, Phys. Rev. Lett. 100, 166803 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.166803 (Pubitemid 351585526)
- (2008) Physical Review Letters , vol.100 , Issue.16 , pp. 166803
- Feiguin, A.E.¹ Rezayi, E.² Nayak, C.³ Das Sarma, S.⁴

23
- 77955147423
- PRBMDO 1098-0121 10.1103/PhysRevB.81.125130
- D. L. Kovrizhin, Phys. Rev. B 81, 125130 (2010). PRBMDO 1098-0121 10.1103/PhysRevB.81.125130
- (2010) Phys. Rev. B , vol.81 , pp. 125130
- Kovrizhin, D.L.¹

24
- 79961117922
- PRBMDO 1098-0121 10.1103/PhysRevB.83.195135
- J. Zhao, D. N. Sheng, and F. D. M. Haldane, Phys. Rev. B 83, 195135 (2011). PRBMDO 1098-0121 10.1103/PhysRevB.83.195135
- (2011) Phys. Rev. B , vol.83 , pp. 195135
- Zhao, J.¹ Sheng, D.N.² Haldane, F.D.M.³

25
- 84861593724
- PYLAAG 0375-9601 10.1016/j.physleta.2012.05.031
- Z.-X. Hu, Z. Papic, S. Johri, R. Bhatt, and P. Schmitteckert, Phys. Lett. A 376, 2157 (2012). PYLAAG 0375-9601 10.1016/j.physleta.2012.05.031
- (2012) Phys. Lett. A , vol.376 , pp. 2157
- Hu, Z.-X.¹ Papic, Z.² Johri, S.³ Bhatt, R.⁴ Schmitteckert, P.⁵

26
- 77951041263
- PRLTAO 0031-9007 10.1103/PhysRevLett.104.156404
- A. M. Läuchli, E. J. Bergholtz, J. Suorsa, and M. Haque, Phys. Rev. Lett. 104, 156404 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.104.156404
- (2010) Phys. Rev. Lett. , vol.104 , pp. 156404
- Läuchli, A.M.¹ Bergholtz, E.J.² Suorsa, J.³ Haque, M.⁴

27
- 84863062373
- PRBMDO 1098-0121 10.1103/PhysRevB.85.045119
- Z. Liu, E. J. Bergholtz, H. Fan, and A. M. Läuchli, Phys. Rev. B 85, 045119 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.045119
- (2012) Phys. Rev. B , vol.85 , pp. 045119
- Liu, Z.¹ Bergholtz, E.J.² Fan, H.³ Läuchli, A.M.⁴

28
- 47249103427
- JHEPFG 1029-8479 10.1088/1126-6708/2008/05/016
- S. Dong, E. Fradkin, R. G. Leigh, and S. Nowling, J. High Energy Phys. 05 (2008) 016. JHEPFG 1029-8479 10.1088/1126-6708/2008/05/016
- J. High Energy Phys. , vol.2008 , Issue.5 , pp. 016
- Dong, S.¹ Fradkin, E.² Leigh, R.G.³ Nowling, S.⁴

29
- 84873457492
- PRLTAO 0031-9007 10.1103/PhysRevLett.110.067208
- L. Cincio and G. Vidal, Phys. Rev. Lett. 110, 067208 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.067208
- (2013) Phys. Rev. Lett. , vol.110 , pp. 067208
- Cincio, L.¹ Vidal, G.²

30
- 0005303483
- PRBMDO 0163-1829 10.1103/PhysRevB.50.17199
- E. H. Rezayi and F. D. M. Haldane, Phys. Rev. B 50, 17199 (1994). PRBMDO 0163-1829 10.1103/PhysRevB.50.17199
- (1994) Phys. Rev. B , vol.50 , pp. 17199
- Rezayi, E.H.¹ Haldane, F.D.M.²

31
- 18244370264
- Half-filled lowest landau level on a thin torus
- DOI 10.1103/PhysRevLett.94.026802, 026802
- E. J. Bergholtz and A. Karlhede, Phys. Rev. Lett. 94, 026802 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.026802 (Pubitemid 40629805)
- (2005) Physical Review Letters , vol.94 , Issue.2 , pp. 1-4
- Bergholtz, E.J.¹ Karlhede, A.²

32
- 33244468607
- Incompressible quantum liquids and new conservation laws
- DOI 10.1103/PhysRevLett.95.266405
- A. Seidel, H. Fu, D.-H. Lee, J. M. Leinaas, and J. Moore, Phys. Rev. Lett. 95, 266405 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.266405 (Pubitemid 43273157)
- (2005) Physical Review Letters , vol.95 , Issue.26 , pp. 266405
- Seidel, A.¹ Fu, H.² Lee, D.-H.³ Leinaas, J.M.⁴ Moore, J.⁵

33
- 84878731361
- arXiv:0804.2509.
- I. P. McCulloch, arXiv:0804.2509.
- McCulloch, I.P.¹

34
- 41549155846
- JSMTC6 1742-5468 10.1088/1742-5468/2007/08/P08024
- M. B. Hastings, J. Stat. Mech. (2007) P08024. JSMTC6 1742-5468 10.1088/1742-5468/2007/08/P08024
- J. Stat. Mech. , vol.2007 , pp. 08024
- Hastings, M.B.¹

35
- 77949498330
- NJOPFM 1367-2630 10.1088/1367-2630/12/2/025002
- D. Gottesman and M. B. Hastings, New J. Phys. 12, 025002 (2010). NJOPFM 1367-2630 10.1088/1367-2630/12/2/025002
- (2010) New J. Phys. , vol.12 , pp. 025002
- Gottesman, D.¹ Hastings, M.B.²

36
- 38549122822
- Entropy scaling and simulability by matrix product states
- DOI 10.1103/PhysRevLett.100.030504
- N. Schuch, M. M. Wolf, F. Verstraete, and J. I. Cirac, Phys. Rev. Lett. 100, 030504 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.030504 (Pubitemid 351161830)
- (2008) Physical Review Letters , vol.100 , Issue.3 , pp. 030504
- Schuch, N.¹ Wolf, M.M.² Verstraete, F.³ Cirac, J.I.⁴

37
- 84863442431
- PRLTAO 0031-9007 10.1103/PhysRevLett.109.016401
- M. Nakamura, Z.-Y. Wang, and E. J. Bergholtz, Phys. Rev. Lett. 109, 016401 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.016401
- (2012) Phys. Rev. Lett. , vol.109 , pp. 016401
- Nakamura, M.¹ Wang, Z.-Y.² Bergholtz, E.J.³

38
- 84878700446
- See the Supplemental Material at
- See the Supplemental Material at http://link.aps.org/supplemental/10. 1103/PhysRevLett.110.236801 for an explanation of the numerical issues particular to quantum Hall iDMRG, including the MPO construction and ergodicity issues. We also detail the computation of the QP charges, flux matrices, and modular T matrix from the entanglement spectrum.

39
- 78650755970
- APNYA6 0003-4916 10.1016/j.aop.2010.09.012
- U. Schollwöck, Ann. Phys. (Amsterdam) 326, 96 (2011). APNYA6 0003-4916 10.1016/j.aop.2010.09.012
- (2011) Ann. Phys. (Amsterdam) , vol.326 , pp. 96
- Schollwöck, U.¹

40
- 1842460762
- NUPBBO 0550-3213 10.1016/0550-3213(91)90407-O
- G. Moore and N. Read, Nucl. Phys. B360, 362 (1991). NUPBBO 0550-3213 10.1016/0550-3213(91)90407-O
- (1991) Nucl. Phys. , vol.360 , pp. 362
- Moore, G.¹ Read, N.²

41
- 0001603766
- PRLTAO 0031-9007 10.1103/PhysRevLett.84.4685
- E. H. Rezayi and F. D. M. Haldane, Phys. Rev. Lett. 84, 4685 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.84.4685
- (2000) Phys. Rev. Lett. , vol.84 , pp. 4685
- Rezayi, E.H.¹ Haldane, F.D.M.²

42
- 54449084094
- PRBMDO 1098-0121 10.1103/PhysRevB.78.155109
- X.-G. Wen and Z. Wang, Phys. Rev. B 78, 155109 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.78.155109
- (2008) Phys. Rev. B , vol.78 , pp. 155109
- Wen, X.-G.¹ Wang, Z.²

43
- 45749093381
- PRLTAO 0031-9007 10.1103/PhysRevLett.100.246802
- B. A. Bernevig and F. D. M. Haldane, Phys. Rev. Lett. 100, 246802 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.100.246802
- (2008) Phys. Rev. Lett. , vol.100 , pp. 246802
- Bernevig, B.A.¹ Haldane, F.D.M.²

44
- 0001543303
- IJPBEV 0217-9792 10.1142/S0217979293003644
- E. Keski-Vakkuri and X.-G. Wen, Int. J. Mod. Phys. B 07, 4227 (1993). IJPBEV 0217-9792 10.1142/S0217979293003644
- (1993) Int. J. Mod. Phys. B , vol.7 , pp. 4227
- Keski-Vakkuri, E.¹ Wen, X.-G.²

45
- 59249089187
- PRBMDO 1098-0121 10.1103/PhysRevB.79.045308
- N. Read, Phys. Rev. B 79, 045308 (2009). PRBMDO 1098-0121 10.1103/PhysRevB.79.045308
- (2009) Phys. Rev. B , vol.79 , pp. 045308
- Read, N.¹

46
- 0039951744
- PRLTAO 0031-9007 10.1103/PhysRevLett.75.697
- J. E. Avron, R. Seiler, and P. G. Zograf, Phys. Rev. Lett. 75, 697 (1995). PRLTAO 0031-9007 10.1103/PhysRevLett.75.697
- (1995) Phys. Rev. Lett. , vol.75 , pp. 697
- Avron, J.E.¹ Seiler, R.² Zograf, P.G.³

47
- 0000329826
- PRLTAO 0031-9007 10.1103/PhysRevLett.69.953
- X. G. Wen and A. Zee, Phys. Rev. Lett. 69, 953 (1992). PRLTAO 0031-9007 10.1103/PhysRevLett.69.953
- (1992) Phys. Rev. Lett. , vol.69 , pp. 953
- Wen, X.G.¹ Zee, A.²

48
- 36849029791
- Particle-hole symmetry and the pfaffian state
- DOI 10.1103/PhysRevLett.99.236806
- M. Levin, B. I. Halperin, and B. Rosenow, Phys. Rev. Lett. 99, 236806 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.236806 (Pubitemid 350231904)
- (2007) Physical Review Letters , vol.99 , Issue.23 , pp. 236806
- Levin, M.¹ Halperin, B.I.² Rosenow, B.³

49
- 36849058679
- Particle-hole symmetry and the =52 quantum hall state
- DOI 10.1103/PhysRevLett.99.236807
- S.-S. Lee, S. Ryu, C. Nayak, and M. P. A. Fisher, Phys. Rev. Lett. 99, 236807 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.236807 (Pubitemid 350231903)
- (2007) Physical Review Letters , vol.99 , Issue.23 , pp. 236807
- Lee, S.-S.¹ Ryu, S.² Nayak, C.³ Fisher, M.P.A.⁴

50
- 84878676662
- (to be published).
- L. Cincio and G. Vidal (to be published).
- Cincio, L.¹ Vidal, G.²

51
- 84878677087
- arXiv:1212.6951.
- H.-H. Tu, Y. Zhang, and X.-L. Qi, arXiv:1212.6951.
- Tu, H.-H.¹ Zhang, Y.² Qi, X.-L.³

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.