SCOPUS 정보 검색 플랫폼

Physical Review Letters

Volumn 109, Issue 11, 2012, Pages

Topological equivalence between the fibonacci quasicrystal and the harper model

(2) Kraus, Yaacov E a Zilberberg, Oded a

a WEIZMANN INSTITUTE OF SCIENCE (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY PHENOMENA; EXPERIMENTAL RESEARCH; FIBONACCI QUASICRYSTALS; GENERAL MODEL; HARPER MODEL; QUASI-PERIODICITIES; QUASIPERIODIC SYSTEMS; TOPOLOGICAL EQUIVALENCE;

DEFORMATION; QUASICRYSTALS;

TOPOLOGY;

EID: 84866318132 PISSN: 00319007 EISSN: 10797114 Source Type: Journal
DOI: 10.1103/PhysRevLett.109.116404 Document Type: Article

Times cited : (374)

References (33)

1
- 0037422910
- PRLTAO 0031-9007 10.1103/PhysRevLett.90.055501
- L. Dal Negro, C.J. Oton, Z. Gaburro, L. Pavesi, P. Johnson, A. Lagendijk, R. Righini, M. Colocci, and D.S. Wiersma, Phys. Rev. Lett. 90, 055501 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.90.055501
- (2003) Phys. Rev. Lett. , vol.90 , pp. 055501
- Dal Negro, L.¹ Oton, C.J.² Gaburro, Z.³ Pavesi, L.⁴ Johnson, P.⁵ Lagendijk, A.⁶ Righini, R.⁷ Colocci, M.⁸ Wiersma, D.S.⁹

2
- 68649090488
- PRLTAO 0031-9007 10.1103/PhysRevLett.103.013901
- Y. Lahini, R. Pugatch, F. Pozzi, M. Sorel, R. Morandotti, N. Davidson, and Y. Silberberg, Phys. Rev. Lett. 103, 013901 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.013901
- (2009) Phys. Rev. Lett. , vol.103 , pp. 013901
- Lahini, Y.¹ Pugatch, R.² Pozzi, F.³ Sorel, M.⁴ Morandotti, R.⁵ Davidson, N.⁶ Silberberg, Y.⁷

3
- 45149108806
- NATUAS 0028-0836 10.1038/nature07071
- G. Roati, C. D'Errico, L. Fallani, M. Fattori, C. Fort, M. Zaccanti, G. Modugno, M. Modugno, and M. Inguscio, Nature (London) 453, 895 (2008). NATUAS 0028-0836 10.1038/nature07071
- (2008) Nature (London) , vol.453 , pp. 895
- Roati, G.¹ D'Errico, C.² Fallani, L.³ Fattori, M.⁴ Fort, C.⁵ Zaccanti, M.⁶ Modugno, G.⁷ Modugno, M.⁸ Inguscio, M.⁹

4
- 57949096932
- PRLTAO 0031-9007 10.1103/PhysRevLett.101.255702
- J. Chabé, G. Lemarié, B. Grémaud, D. Delande, P. Szriftgiser, and J.C. Garreau, Phys. Rev. Lett. 101, 255702 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.255702
- (2008) Phys. Rev. Lett. , vol.101 , pp. 255702
- Chabé, J.¹ Lemarié, G.² Grémaud, B.³ Delande, D.⁴ Szriftgiser, P.⁵ Garreau, J.C.⁶

5
- 78149235705
- RPPHAG 0034-4885 10.1088/0034-4885/73/10/102401
- G. Modugno, Rep. Prog. Phys. 73, 102401 (2010). RPPHAG 0034-4885 10.1088/0034-4885/73/10/102401
- (2010) Rep. Prog. Phys. , vol.73 , pp. 102401
- Modugno, G.¹

6
- 0001215377
- AIPSDK 0309-8710
- S. Aubry and G. André, Ann. Isr. Phys. Soc. 3, 133 (1980). AIPSDK 0309-8710
- (1980) Ann. Isr. Phys. Soc. , vol.3 , pp. 133
- Aubry, S.¹ André, G.²

7
- 0000532658
- PRLTAO 0031-9007 10.1103/PhysRevLett.50.1870
- M. Kohmoto, L.P. Kadanoff, and C. Tang, Phys. Rev. Lett. 50, 1870 (1983); PRLTAO 0031-9007 10.1103/PhysRevLett.50.1870
- (1983) Phys. Rev. Lett. , vol.50 , pp. 1870
- Kohmoto, M.¹ Kadanoff, L.P.² Tang, C.³

8
- 0000510446
- PRLTAO 0031-9007 10.1103/PhysRevLett.50.1873
- S. Ostlund, R. Pandit, D. Rand, H.J. Schellnhuber, and E.D. Siggia, Phys. Rev. Lett. 50, 1873 (1983). PRLTAO 0031-9007 10.1103/PhysRevLett.50.1873
- (1983) Phys. Rev. Lett. , vol.50 , pp. 1873
- Ostlund, S.¹ Pandit, R.² Rand, D.³ Schellnhuber, H.J.⁴ Siggia, E.D.⁵

9
- 0000631349
- PRBMDO 0163-1829 10.1103/PhysRevB.50.11365
- J.H. Han, D.J. Thouless, H. Hiramoto, and M. Kohmoto, Phys. Rev. B PRBMDO 0163-1829 50, 11365 (1994). 10.1103/PhysRevB.50.11365
- (1994) Phys. Rev. B , vol.50 , pp. 11365
- Han, J.H.¹ Thouless, D.J.² Hiramoto, H.³ Kohmoto, M.⁴

10
- 0001232578
- IJPBEV 0217-9792 10.1142/S0217979292000153
- H. Hiramoto and M. Kohmoto, Int. J. Mod. Phys. B 06, 281 (1992). IJPBEV 0217-9792 10.1142/S0217979292000153
- (1992) Int. J. Mod. Phys. B , vol.6 , pp. 281
- Hiramoto, H.¹ Kohmoto, M.²

11
- 84865758205
- PRLTAO 0031-9007 10.1103/PhysRevLett.109.106402
- Y.E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, and O. Zilberberg, Phys. Rev. Lett. PRLTAO 0031-9007 109, 106402 (2012). 10.1103/PhysRevLett.109.106402
- (2012) Phys. Rev. Lett. , vol.109 , pp. 106402
- Kraus, Y.E.¹ Lahini, Y.² Ringel, Z.³ Verbin, M.⁴ Zilberberg, O.⁵

12
- 84861832029
- PRLTAO 0031-9007 10.1103/PhysRevLett.108.220401
- L.-J. Lang, X. Cai, and S. Chen, Phys. Rev. Lett. 108, 220401 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.108.220401
- (2012) Phys. Rev. Lett. , vol.108 , pp. 220401
- Lang, L.-J.¹ Cai, X.² Chen, S.³

13
- 84863011656
- PLRAAN 1050-2947 10.1103/PhysRevA.85.013638
- F. Mei, S.-L. Zhu, Z.-M. Zhang, C.H. Oh, and N. Goldman, Phys. Rev. A 85, 013638 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.013638
- (2012) Phys. Rev. A , vol.85 , pp. 013638
- Mei, F.¹ Zhu, S.-L.² Zhang, Z.-M.³ Oh, C.H.⁴ Goldman, N.⁵

14
- 28244490244
- PPSAAM 0370-1298 10.1088/0370-1298/68/10/304
- P.G. Harper, Proc. Phys. Soc. London Sect. A PPSAAM 0370-1298 68, 874 (1955). 10.1088/0370-1298/68/10/304
- (1955) Proc. Phys. Soc. London Sect. A , vol.68 , pp. 874
- Harper, P.G.¹

15
- 0000072605
- PRLTAO 0031-9007 10.1103/PhysRevLett.53.2477
- D. Levine and P.J. Steinhardt, Phys. Rev. Lett. 53, 2477 (1984). PRLTAO 0031-9007 10.1103/PhysRevLett.53.2477
- (1984) Phys. Rev. Lett. , vol.53 , pp. 2477
- Levine, D.¹ Steinhardt, P.J.²

16
- 4243520655
- PRLTAO 0031-9007 10.1103/PhysRevLett.62.2714
- H. Hiramoto and M. Kohmoto, Phys. Rev. Lett. 62, 2714 (1989). PRLTAO 0031-9007 10.1103/PhysRevLett.62.2714
- (1989) Phys. Rev. Lett. , vol.62 , pp. 2714
- Hiramoto, H.¹ Kohmoto, M.²

17
- 40949104417
- PHYBE3 0921-4526 10.1016/j.physb.2007.10.016
- G.G. Naumis and F.J. López-Rodríguez, Physica (Amsterdam) PHYBE3 0921-4526 403B, 1755 (2008). 10.1016/j.physb.2007.10.016
- (2008) Physica (Amsterdam) , vol.403 , pp. 1755
- Naumis, G.G.¹ López-Rodríguez, F.J.²

18
- 78349239882
- RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
- M.Z. Hasan and C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010); RMPHAT 0034-6861 10.1103/RevModPhys.82.3045
- (2010) Rev. Mod. Phys. , vol.82 , pp. 3045
- Hasan, M.Z.¹ Kane, C.L.²

19
- 80054934761
- RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
- X.-L. Qi and S.-C. Zhang, Rev. Mod. Phys. 83, 1057 (2011). RMPHAT 0034-6861 10.1103/RevModPhys.83.1057
- (2011) Rev. Mod. Phys. , vol.83 , pp. 1057
- Qi, X.-L.¹ Zhang, S.-C.²

20
- 27144528829
- NUPBBO 0550-3213 10.1016/0550-3213(86)90315-9
- Y. Avron, R. Seiler, and B. Shapiro, Nucl. Phys. NUPBBO 0550-3213 B265, 364 (1986). 10.1016/0550-3213(86)90315-9
- (1986) Nucl. Phys. , vol.265 , pp. 364
- Avron, Y.¹ Seiler, R.² Shapiro, B.³

21
- 33644561837
- PRBMDO 0163-1829 10.1103/PhysRevB.27.6083
- D.J. Thouless, Phys. Rev. B PRBMDO 0163-1829 27, 6083 (1983). 10.1103/PhysRevB.27.6083
- (1983) Phys. Rev. B , vol.27 , pp. 6083
- Thouless, D.J.¹

22
- 0000653017
- JTPLA2 0021-3640
- M.Y. Azbel, JETP Lett. 19, 634 (1964). JTPLA2 0021-3640
- (1964) JETP Lett. , vol.19 , pp. 634
- Azbel, M.Y.¹

23
- 0001032458
- PLRBAQ 0556-2805 10.1103/PhysRevB.14.2239
- D.R. Hofstadter, Phys. Rev. B PLRBAQ 0556-2805 14, 2239 (1976). 10.1103/PhysRevB.14.2239
- (1976) Phys. Rev. B , vol.14 , pp. 2239
- Hofstadter, D.R.¹

24
- 36149008019
- PHRVAO 0031-899X 10.1103/PhysRev.134.A1602
- J. Zak, Phys. Rev. 134, A1602 (1964). PHRVAO 0031-899X 10.1103/PhysRev.134.A1602
- (1964) Phys. Rev. , vol.134 , pp. 1602
- Zak, J.¹

25
- 3442880129
- PRLTAO 0031-9007 10.1103/PhysRevLett.49.405
- D.J. Thouless, M. Kohmoto, M.P. Nightingale, and M. den Nijs, Phys. Rev. Lett. 49, 405 (1982). PRLTAO 0031-9007 10.1103/PhysRevLett.49.405
- (1982) Phys. Rev. Lett. , vol.49 , pp. 405
- Thouless, D.J.¹ Kohmoto, M.² Nightingale, M.P.³ Den Nijs, M.⁴

26
- 0039675161
- JPSOAW 0022-3719 10.1088/0022-3719/18/22/004
- I. Dana, Y. Avron, and J. Zak, J. Phys. C 18, L679 (1985). JPSOAW 0022-3719 10.1088/0022-3719/18/22/004
- (1985) J. Phys. C , vol.18 , pp. 679
- Dana, I.¹ Avron, Y.² Zak, J.³

27
- 84866310296
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.109.116404 for the full derivation.

28
- 0004024233
- Cambridge University Press, Cambridge, England
- M. Senechal, Quasicrystals and Geometry (Cambridge University Press, Cambridge, England, 1996).
- (1996) Quasicrystals and Geometry
- Senechal, M.¹

29
- 4244077074
- PRBMDO 0163-1829 10.1103/PhysRevB.59.302
- E.S. Zijlstra, A. Fasolino, and T. Janssen, Phys. Rev. B PRBMDO 0163-1829 59, 302 (1999). 10.1103/PhysRevB.59.302
- (1999) Phys. Rev. B , vol.59 , pp. 302
- Zijlstra, E.S.¹ Fasolino, A.² Janssen, T.³

30
- 33745967434
- PRBMDO 1098-0121 10.1103/PhysRevB.74.035314
- Y. El Hassouani, H. Aynaou, E.H. El Boudouti, B. Djafari-Rouhani, A. Akjouj, and V.R. Velasco, Phys. Rev. B PRBMDO 1098-0121 74, 035314 (2006); 10.1103/PhysRevB.74.035314
- (2006) Phys. Rev. B , vol.74 , pp. 035314
- El Hassouani, Y.¹ Aynaou, H.² El Boudouti, E.H.³ Djafari-Rouhani, B.⁴ Akjouj, A.⁵ Velasco, V.R.⁶

31
- 77957867267
- JOBPDE 0740-3224 10.1364/JOSAB.27.002009
- X.-N. Pang, J.-W. Dong, and H.-Z. Wang, J. Opt. Soc. Am. B 27, 2009 (2010). JOBPDE 0740-3224 10.1364/JOSAB.27.002009
- (2010) J. Opt. Soc. Am. B , vol.27 , pp. 2009
- Pang, X.-N.¹ Dong, J.-W.² Wang, H.-Z.³

32
- 84855501682
- PLRAAN 1050-2947 10.1103/PhysRevA.85.013807
- A.J. Martínez and M.I. Molina, Phys. Rev. A 85, 013807 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.013807
- (2012) Phys. Rev. A , vol.85 , pp. 013807
- Martínez, A.J.¹ Molina, M.I.²

33
- 33847142248
- ACACEQ 0108-7673 10.1107/S0108767306056467
- S.I. Ben-Abraham and A. Quandt, Acta Crystallogr. Sect. A ACACEQ 0108-7673 63, 177 (2007). 10.1107/S0108767306056467
- (2007) Acta Crystallogr. Sect. A , vol.63 , pp. 177
- Ben-Abraham, S.I.¹ Quandt, A.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.