Charge and spin fractionalization in strongly correlated topological insulators

Journal of Physics Condensed Matter

Volumn 25, Issue 2, 2013, Pages

  Nikolić, Predrag ^a,b  

^a GEORGE MASON UNIVERSITY   (United States)

^b JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BACKGROUND FIELD; GAUGE THEORY; QUANTUM LIQUIDS; QUANTUM NUMBERS; QUASI PARTICLES; SPATIAL DIMENSION; STRONGLY CORRELATED PARTICLES; SYMMETRY GROUPS; TIME REVERSAL SYMMETRIES; TOPOLOGICAL INSULATORS;

ELECTRIC INSULATORS; QUANTUM HALL EFFECT; TOPOLOGY;

QUANTUM THEORY;

ARTICLE; CHEMICAL MODEL; CHEMICAL STRUCTURE; CHEMISTRY; COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; QUANTUM THEORY; SOLUTION AND SOLUBILITY;

COMPUTER SIMULATION; ELECTRIC CONDUCTIVITY; MODELS, CHEMICAL; MODELS, MOLECULAR; QUANTUM THEORY; SOLUTIONS;

EID: 84870864957     PISSN: 09538984     EISSN: 1361648X     Source Type: Journal    
DOI: 10.1088/0953-8984/25/2/025602     Document Type: Article

References (33)

1. Wen X-G 2004 Quantum Field Theory of Many-Body Systems (New York: Oxford University Press)
2. Hasan M Z and Kane C L 2010 Topological insulators Rev. Mod. Phys. 82 3045
3. Qi X-L and Zhang S-C 2011 Topological insulators and superconductors Rev. Mod. Phys. 83 1057
4. Moore J E 2010 The birth of topological insulators Nature 464 194
5. Fröhlich J and Studer U M 1992 U(1) × SU(2)-gauge invariance of nonrelativistic quantum mechanics, and generalized Hall effects Commun. Math. Phys. 148 553
6. Qi X-L, Hughes T L and Zhang S-C 2008 Topological field theory of time-reversal invariant insulators Phys. Rev. B 78 195424
7. Levin M and Stern A 2009 Fractional topological insulators Phys. Rev. Lett. 103 196803
8. Karch A, Maciejko J and Takayanagi T 2010 Holographic fractional topological insulators in 2 + 1 and 1 + 1 dimensions Phys. Rev. D 82 126003
9. Cho G Y and Moore J E 2010 Topological BF field theory description of topological insulators Ann. Phys. 326 1515
10. Maciejko J, Qi X-L, Karch A and Zhang S-C 2010 Fractional topological insulators in three dimensions Phys. Rev. Lett. 105 246809
11. Swingle B, Barkeshli M, McGreevy J and Senthil T 2011 Correlated topological insulators and the fractional magnetoelectric effect Phys. Rev. B 83 195139
12. Neupert T, Santos L, Ryu S, Chamon C and Mudry C 2011 Fractional topological liquids with time-reversal symmetry and their lattice realization Phys. Rev. B 84 165107
13. Greiner M, Mandel O, Esslinger T, Hänsch T W and Bloch I 2002 Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms Nature 415 39 (Pubitemid 34062442)
14. Lin Y-J, Jiménez-García K and Spielman I B 2011 Spin-orbit-coupled Bose-Einstein condensates Nature 471 83
15. Sau J D, Sensarma R, Powell S, Spielman I B and Das Sarma S 2011 Chiral Rashba spin textures in ultracold fermi gases Phys. Rev. B 83 140510
16. Campbell D L, Juzeliunas G and Spielman I B 2011 Realistic Rashba and Dressehaus spin-orbit coupling for neutral atoms Phys. Rev. A 84 025602
17. Cooper N R 2011 Optical flux lattices for ultracold atomic gases Phys. Rev. Lett. 106 175301
18. Pesin D and Balents L 2010 Mott physics and band topology in materials with strong spin-orbit interaction Nature Phys. 6 376
19. Sun K, Gu Z, Katsura H and Das Sarma S 2011 Nearly flatbands with nontrivial topology Phys. Rev. Lett. 106 236803
20. Nikolic P and Tesanovic Z 2011 Cooper pair insulators and theory of correlated superconductors Phys. Rev. B 83 064501
21. Nikolic P and Tesanovic Z 2012 Pairing instabilities in topological insulator quantum wells, arXiv:1208.0608
22. Fu L and Kane C L 2008 Superconducting proximity effect and Majorana fermions at the surface of a topological insulator Phys. Rev. Lett. 100 096407 (Pubitemid 351399080)
23. Zhang H, Liu C-X, Qi X-L, Dai X, Fang Z and Zhang S-C 2009 Topological insulators in Bi2 Se3, Bi2 Te3 and Sb2 Te3 with a single Dirac cone on the surface Nature Phys. 5 438
24. Andrei Bernevig B, Hughes T L and Zhang S-C 2006 Quantum spin Hall effect and topological phase transition in HgTe quantum wells Science 314 1757 (Pubitemid 44969083)
25. Dasgupta C and Halperin B I 1981 Phase transition in a lattice model of superconductivity Phys. Rev. Lett. 47 1556
26. Fisher M P A and Lee D H 1989 Correspondence between two-dimensional bosons and a bulk superconductor in a magnetic field Phys. Rev. B 39 2756
27. Sachdev S and Jalabert R 1990 Effective lattice models for two-dimensional quantum antiferromagnets Mod. Phys. Lett. 4 1043
28. Santos L, Neupert T, Ryu S, Chamon C and Mudry C 2011 Time-reversal symmetric hierarchy of fractional incompressible liquids Phys. Rev. B 84 165138
29. Nikolic P, Duric T and Tesanovic Z 2011 Correlated topological insulators of cooper pairs induced by proximity effect, arXiv:1109.0017
30. Moore G and Read N 1991 Nonabelions in the fractional quantum hall effect Nucl. Phys. B 360 362
31. Fradkin E, Nayak C, Tsvelik A and Wilczek F 1998 A Chern-Simons effective field theory for the Pfaffian quantum Hall state Nucl. Phys. B 516 704
32. Fradkin E, Huerta M and Zemba G R 2001 Effective Chern-Simons theories of Pfaffian and parafermionic quantum hall states, and orbifold conformal field theories Nucl. Phys. B 601 591 (Pubitemid 33376522)
33. Senthil T and Fisher M P A 2000 Z2 gauge theory of electron fractionalization in strongly correlated systems Phys. Rev. B 62 7850 (Pubitemid 32336153)