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Physical Review B - Condensed Matter and Materials Physics

Volumn 87, Issue 24, 2013, Pages

Understanding the entanglement entropy and spectra of 2D quantum systems through arrays of coupled 1D chains

(2) James, Andrew J A a Konik, Robert M a

a BROOKHAVEN NATIONAL LABORATORY (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84879936798 PISSN: 10980121 EISSN: 1550235X Source Type: Journal
DOI: 10.1103/PhysRevB.87.241103 Document Type: Article

Times cited : (38)

References (50)

1
- 43849112312
- Entanglement in many-body systems
- DOI 10.1103/RevModPhys.80.517
- L. Amico, R. Fazio, A. Osterloh, and V. Vedral, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.517 80, 517 (2008). (Pubitemid 351697445)
- (2008) Reviews of Modern Physics , vol.80 , Issue.2 , pp. 517-576
- Amico, L.¹ Fazio, R.² Osterloh, A.³ Vedral, V.⁴

2
- 2442674839
- NUPBBO 0550-3213 10.1016/0550-3213(94)90402-2
- C. Holzhey, F. Larsen, and F. Wilczek, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(94)90402-2 424, 443 (1994).
- (1994) Nucl. Phys. B , vol.424 , pp. 443
- Holzhey, C.¹ Larsen, F.² Wilczek, F.³

3
- 0038115189
- PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902
- G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003).
- (2003) Phys. Rev. Lett. , vol.90 , pp. 227902
- Vidal, G.¹ Latorre, J.I.² Rico, E.³ Kitaev, A.⁴

4
- 84901001853
- 10.1088/1742-5468/2004/06/P06002
- P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. 10.1088/1742-5468/2004/06/P06002 (2004) P06002.
- J. Stat. Mech.: Theory Exp. , vol.2004 , pp. 06002
- Calabrese, P.¹ Cardy, J.²

5
- 33645151438
- PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404
- A. Kitaev and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110404 96, 110404 (2006).
- (2006) Phys. Rev. Lett. , vol.96 , pp. 110404
- Kitaev, A.¹ Preskill, J.²

6
- 33645161396
- PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405
- M. Levin and X. G. Wen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110405 96, 110405 (2006).
- (2006) Phys. Rev. Lett. , vol.96 , pp. 110405
- Levin, M.¹ Wen, X.G.²

7
- 33746922351
- Entanglement entropy of 2D conformal quantum critical points: Hearing the shape of a quantum drum
- DOI 10.1103/PhysRevLett.97.050404
- E. Fradkin and J. E. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.050404 97, 050404 (2006). (Pubitemid 44188134)
- (2006) Physical Review Letters , vol.97 , Issue.5 , pp. 050404
- Fradkin, E.¹ Moore, J.E.²

8
- 84870609669
- 10.1038/nphys2465
- H.-C. Jiang, Z. Wang, and L. Balents, Nat. Phys. 10.1038/nphys2465 8, 902 (2012).
- (2012) Nat. Phys. , vol.8 , pp. 902
- Jiang, H.-C.¹ Wang, Z.² Balents, L.³

9
- 23844520141
- The density-matrix renormalization group
- DOI 10.1103/RevModPhys.77.259
- U. Schöllwock, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005). (Pubitemid 41490660)
- (2005) Reviews of Modern Physics , vol.77 , Issue.1 , pp. 259-315
- Schollwock, U.¹

10
- 33751183759
- New trends in density matrix renormalization
- DOI 10.1080/00018730600766432, PII H088W77742X67Q1H
- K. A. Hallberg, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730600766432 55, 477 (2006). (Pubitemid 44773295)
- (2006) Advances in Physics , vol.55 , Issue.5-6 , pp. 477-526
- Hallberg, K.A.¹

11
- 65549152481
- PRLTAO 0031-9007 10.1103/PhysRevLett.102.170602
- S. Furukawa, V. Pasquier, and J. Shiraishi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.170602 102, 170602 (2009).
- (2009) Phys. Rev. Lett. , vol.102 , pp. 170602
- Furukawa, S.¹ Pasquier, V.² Shiraishi, J.³

12
- 77749345942
- PRLTAO 0031-9007 10.1103/PhysRevLett.104.095701
- P. Calabrese, M. Campostrini, F. Essler, and B. Nienhuis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.095701 104, 095701 (2010).
- (2010) Phys. Rev. Lett. , vol.104 , pp. 095701
- Calabrese, P.¹ Campostrini, M.² Essler, F.³ Nienhuis, B.⁴

13
- 77649149203
- RMPHAT 0034-6861 10.1103/RevModPhys.82.277
- J. Eisert, M. Cramer, and M. B. Plenio, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.82.277 82, 277 (2010).
- (2010) Rev. Mod. Phys. , vol.82 , pp. 277
- Eisert, J.¹ Cramer, M.² Plenio, M.B.³

14
- 33646453465
- PRLTAO 0031-9007 10.1103/PhysRevLett.96.181602
- S. Ryu and T. Takayanagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.181602 96, 181602 (2006).
- (2006) Phys. Rev. Lett. , vol.96 , pp. 181602
- Ryu, S.¹ Takayanagi, T.²

15
- 75849163829
- 1751-8113 10.1088/1751-8113/42/50/504008
- T. Nishioka, S. Ryu, and T. Takayanagi, J. Phys. A: Math. Theor. 1751-8113 10.1088/1751-8113/42/50/504008 42, 504008 (2009).
- (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 504008
- Nishioka, T.¹ Ryu, S.² Takayanagi, T.³

16
- 73249141480
- PRBMDO 1098-0121 10.1103/PhysRevB.80.184421
- J. M. Stéphan, S. Furukawa, G. Misguich, and V. Pasquier, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.184421 80, 184421 (2009).
- (2009) Phys. Rev. B , vol.80 , pp. 184421
- Stéphan, J.M.¹ Furukawa, S.² Misguich, G.³ Pasquier, V.⁴

17
- 84879962725
- arXiv: 1007.3739.
- M. Oshikawa, arXiv: 1007.3739.
- Oshikawa, M.¹

18
- 79961052343
- PRLTAO 0031-9007 10.1103/PhysRevLett.107.020402
- M. P. Zaletel, J. H. Bardarson, and J. E. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.020402 107, 020402 (2011).
- (2011) Phys. Rev. Lett. , vol.107 , pp. 020402
- Zaletel, M.P.¹ Bardarson, J.H.² Moore, J.E.³

19
- 82655179127
- PRBMDO 1098-0121 10.1103/PhysRevB.84.195128
- J. M. Stéphan, G. Misguich, and V. Pasquier, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.195128 84, 195128 (2011).
- (2011) Phys. Rev. B , vol.84 , pp. 195128
- Stéphan, J.M.¹ Misguich, G.² Pasquier, V.³

20
- 64349115016
- PRBMDO 1098-0121 10.1103/PhysRevB.79.115421
- B. Hsu, M. Mulligan, E. Fradkin, and E.-A. Kim, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.115421 79, 115421 (2009).
- (2009) Phys. Rev. B , vol.79 , pp. 115421
- Hsu, B.¹ Mulligan, M.² Fradkin, E.³ Kim, E.-A.⁴

21
- 84873343289
- 10.1088/1367-2630/15/1/015004
- J.-M. Stéphan, H. Ju, P. Fendley, and R. G. Melko, New. J. Phys. 10.1088/1367-2630/15/1/015004 15, 015004 (2013).
- (2013) New. J. Phys. , vol.15 , pp. 015004
- Stéphan, J.-M.¹ Ju, H.² Fendley, P.³ Melko, R.G.⁴

22
- 84859024340
- PRLTAO 0031-9007 10.1103/PhysRevLett.108.120401
- O. A. Castro-Alvaredo and B. Doyon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.120401 108, 120401 (2012).
- (2012) Phys. Rev. Lett. , vol.108 , pp. 120401
- Castro-Alvaredo, O.A.¹ Doyon, B.²

23
- 84879898656
- arXiv: 1212.5634.
- V. Alba, M. Haque, and A. M. Laüchli, arXiv: 1212.5634.
- Alba, V.¹ Haque, M.² Laüchli, A.M.³

24
- 84879964072
- arXiv: 1112.5166.
- M. Metlitski and T. Grover, arXiv: 1112.5166.
- Metlitski, M.¹ Grover, T.²

25
- 70350586473
- PRBMDO 1098-0121 10.1103/PhysRevB.80.115122
- M. A. Metlitski, C. A. Fuertes, and S. Sachdev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.115122 80, 115122 (2009).
- (2009) Phys. Rev. B , vol.80 , pp. 115122
- Metlitski, M.A.¹ Fuertes, C.A.² Sachdev, S.³

26
- 74949140295
- PRBMDO 1098-0121 10.1103/PhysRevB.80.235127
- L. Tagliacozzo, G. Evenbly, and G. Vidal, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.235127 80, 235127 (2009).
- (2009) Phys. Rev. B , vol.80 , pp. 235127
- Tagliacozzo, L.¹ Evenbly, G.² Vidal, G.³

27
- 84860273015
- PRBMDO 1098-0121 10.1103/PhysRevB.85.165121
- H. Ju, A. B. Kallin, P. Fendley, M. B. Hastings, and R. G. Melko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.165121 85, 165121 (2012).
- (2012) Phys. Rev. B , vol.85 , pp. 165121
- Ju, H.¹ Kallin, A.B.² Fendley, P.³ Hastings, M.B.⁴ Melko, R.G.⁵

28
- 0001606251
- 10.1103/PhysRevE.59.R6227
- K. Okunishi, Y. Hieida, and Y. Akutsu, Phys. Rev. E 10.1103/PhysRevE.59. R6227 59, R6227 (1999).
- (1999) Phys. Rev. e , vol.59 , pp. 6227
- Okunishi, K.¹ Hieida, Y.² Akutsu, Y.³

29
- 0035421485
- PRBMDO 1098-0121 10.1103/PhysRevB.64.064412
- M.-C. Chung and I. Peschel, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.64.064412 64, 064412 (2001).
- (2001) Phys. Rev. B , vol.64 , pp. 064412
- Chung, M.-C.¹ Peschel, I.²

30
- 71049134994
- 10.1088/1751-8113/42/50/504003
- I. Peschel and V. Eisler, J. Phys. A: Math. Theor. 10.1088/1751-8113/42/ 50/504003 42, 504003 (2009).
- (2009) J. Phys. A: Math. Theor. , vol.42 , pp. 504003
- Peschel, I.¹ Eisler, V.²

31
- 46949084674
- PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504
- H. Li and F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.010504 101, 010504 (2008).
- (2008) Phys. Rev. Lett. , vol.101 , pp. 010504
- Li, H.¹ Haldane, F.D.M.²

32
- 77955621253
- PRLTAO 0031-9007 10.1103/PhysRevLett.105.077202
- D. Poilblanc, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105. 077202 105, 077202 (2010).
- (2010) Phys. Rev. Lett. , vol.105 , pp. 077202
- Poilblanc, D.¹

33
- 84857561913
- PRBMDO 1098-0121 10.1103/PhysRevB.85.054403
- A. M. Läuchli and J. Schliemann, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.85.054403 85, 054403 (2012).
- (2012) Phys. Rev. B , vol.85 , pp. 054403
- Läuchli, A.M.¹ Schliemann, J.²

34
- 84871251320
- 10.1088/1742-5468/2012/11/P11021
- J. Schliemann and A. M. Läuchli, J. Stat. Mech.: Theory Exp. 10.1088/1742-5468/2012/11/P11021 (2012) P11021.
- J. Stat. Mech.: Theory Exp. , vol.2012 , pp. 11021
- Schliemann, J.¹ Läuchli, A.M.²

35
- 84861820602
- PRLTAO 0031-9007 10.1103/PhysRevLett.108.227201
- V. Alba, M. Haque, and A. M. Läuchli, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.108.227201 108, 227201 (2012).
- (2012) Phys. Rev. Lett. , vol.108 , pp. 227201
- Alba, V.¹ Haque, M.² Läuchli, A.M.³

36
- 82355170553
- 10.1209/0295-5075/96/50006
- I. Peschel and M.-C. Chung, Europhys. Lett. 10.1209/0295-5075/96/50006 96, 50006 (2011).
- (2011) Europhys. Lett. , vol.96 , pp. 50006
- Peschel, I.¹ Chung, M.-C.²

37
- 84870611476
- PRLTAO 0031-9007 10.1103/PhysRevLett.109.237208
- G. De Chiara, L. Lepori, M. Lewenstein, and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.237208 109, 237208 (2012).
- (2012) Phys. Rev. Lett. , vol.109 , pp. 237208
- De Chiara, G.¹ Lepori, L.² Lewenstein, M.³ Sanpera, A.⁴

38
- 84879012123
- PRBMDO 1098-0121 10.1103/PhysRevB.87.235107
- L. Lepori, G. De Chiara, and A. Sanpera, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.235107 87, 235107 (2013).
- (2013) Phys. Rev. B , vol.87 , pp. 235107
- Lepori, L.¹ De Chiara, G.² Sanpera, A.³

39
- 63049125604
- PRLTAO 0031-9007 10.1103/PhysRevLett.102.097203
- R. M. Konik and Y. Adamov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.097203 102, 097203 (2009).
- (2009) Phys. Rev. Lett. , vol.102 , pp. 097203
- Konik, R.M.¹ Adamov, Y.²

40
- 0000864481
- IMPAEF 0217-751X 10.1142/S0217751X91002161
- V. P. Yurov and Al. B. Zamolodchikov, Int. J. Mod. Phys. A IMPAEF 0217-751X 10.1142/S0217751X91002161 6, 4557 (1991).
- (1991) Int. J. Mod. Phys. A , vol.6 , pp. 4557
- Yurov, V.P.¹ Zamolodchikov, Al.B.²

41
- 34147129114
- Numerical renormalization group for continuum one-dimensional systems
- DOI 10.1103/PhysRevLett.98.147205
- R. M. Konik and Y. Adamov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.147205 98, 147205 (2007). (Pubitemid 46557429)
- (2007) Physical Review Letters , vol.98 , Issue.14 , pp. 147205
- Konik, R.M.¹ Adamov, Y.²

42
- 84857273542
- 10.1146/annurev-conmatphys-020911-125018
- E. M. Stoudenmire and S. R. White, Annu. Rev. Condens. Matter Phys. 10.1146/annurev-conmatphys-020911-125018 3, 111 (2012).
- (2012) Annu. Rev. Condens. Matter Phys. , vol.3 , pp. 111
- Stoudenmire, E.M.¹ White, S.R.²

43
- 0000527939
- NUPBBO 0550-3213 10.1016/0550-3213(91)90566-G
- T. Klassen and E. Melzer, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(91)90566-G 362, 329 (1991).
- (1991) Nucl. Phys. B , vol.362 , pp. 329
- Klassen, T.¹ Melzer, E.²

44
- 84879985167
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevB.87.241103 for details of the numerics and perturbative calculations.

45
- 84864585916
- PRBMDO 1098-0121 10.1103/PhysRevB.86.045139
- Z. Y. Xie, J. Chen, M. P. Qin, J. W. Zhu, L. P. Yang, and T. Xiang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86.045139 86, 045139 (2012).
- (2012) Phys. Rev. B , vol.86 , pp. 045139
- Xie, Z.Y.¹ Chen, J.² Qin, M.P.³ Zhu, J.W.⁴ Yang, L.P.⁵ Xiang, T.⁶

46
- 84874521191
- PRBMDO 1098-0121 10.1103/PhysRevB.87.064422
- Y. Meurice, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.87.064422 87, 064422 (2013).
- (2013) Phys. Rev. B , vol.87 , pp. 064422
- Meurice, Y.¹

47
- 34648843592
- Neél order in square and triangular lattice heisenberg models
- DOI 10.1103/PhysRevLett.99.127004
- S. R. White and A. L. Chernyshev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.127004 99, 127004 (2007). (Pubitemid 47462647)
- (2007) Physical Review Letters , vol.99 , Issue.12 , pp. 127004
- White, S.R.¹ Chernyshev, A.L.²

48
- 0000961795
- PYLAAG 0375-9601 10.1016/0375-9601(96)00128-4
- T. Nishino, K. Okunishi, and M. Kikuchi, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(96)00128-4 213, 69 (1996).
- (1996) Phys. Lett. A , vol.213 , pp. 69
- Nishino, T.¹ Okunishi, K.² Kikuchi, M.³

49
- 53349141692
- PLRAAN 1050-2947 10.1103/PhysRevA.78.032329
- P. Calabrese and A. Lefevre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.032329 78, 032329 (2008).
- (2008) Phys. Rev. A , vol.78 , pp. 032329
- Calabrese, P.¹ Lefevre, A.²

50
- 77949512657
- NJOPFM 1367-2630 10.1088/1367-2630/12/2/025006
- F. Pollmann and J. E. Moore, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/2/025006 12, 025006 (2010).
- (2010) New J. Phys. , vol.12 , pp. 025006
- Pollmann, F.¹ Moore, J.E.²

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