Topological Phases in the Zeroth Landau Level of Bilayer Graphene

被引:43
作者
Papic, Z. [1 ,2 ,3 ]
Abanin, D. A. [2 ,3 ]
机构
[1] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA
[2] Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, Canada
[3] Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada
关键词
INCOMPRESSIBLE QUANTUM FLUID; TWO-DIMENSIONAL ELECTRONS; MAGNETIC-FIELD; HALL; NEUTRALITY; STATES;
D O I
10.1103/PhysRevLett.112.046602
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We analyze the phase diagram of the zeroth Landau level of bilayer graphene, taking into account the realistic effects of screening of the Coulomb interaction and strong mixing between two degenerate sublevels. We identify robust quantum Hall states at filling factors nu = -1, -4/3, -5/3, -8/5, -1/2 and discuss the nature of their ground states, collective excitations, and relation to the more familiar states in GaAs using a tractable model. In particular, we present evidence that the nu = -1/2 state is non-Abelian and described by either the Moore-Read wave function or its particle-hole conjugate, while ruling out other candidates such as the 331 state.
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页数:5
相关论文
共 49 条
[1]   Stability of the k=3 Read-Rezayi state in chiral two-dimensional systems with tunable interactions [J].
Abanin, D. A. ;
Papic, Z. ;
Barlas, Y. ;
Bhatt, R. N. .
NEW JOURNAL OF PHYSICS, 2012, 14
[2]   Charge 2e Skyrmions in Bilayer Graphene [J].
Abanin, D. A. ;
Parameswaran, S. A. ;
Sondhi, S. L. .
PHYSICAL REVIEW LETTERS, 2009, 103 (07)
[3]   Fractional and integer quantum Hall effects in the zeroth Landau level in graphene [J].
Abanin, Dmitry A. ;
Feldman, Benjamin E. ;
Yacoby, Amir ;
Halperin, Bertrand I. .
PHYSICAL REVIEW B, 2013, 88 (11)
[4]   Stable Pfaffian State in Bilayer Graphene [J].
Apalkov, Vadim M. ;
Chakraborty, Tapash .
PHYSICAL REVIEW LETTERS, 2011, 107 (18)
[5]   Controllable Driven Phase Transitions in Fractional Quantum Hall States in Bilayer Graphene [J].
Apalkov, Vadim M. ;
Chakraborty, Tapash .
PHYSICAL REVIEW LETTERS, 2010, 105 (03)
[6]   Intra-Landau-level cyclotron resonance in bilayer graphene [J].
Barlas, Yafis ;
Cote, R. ;
Nomura, K. ;
MacDonald, A. H. .
PHYSICAL REVIEW LETTERS, 2008, 101 (09)
[7]   Effect of Landau level mixing on the effective interaction between electrons in the fractional quantum Hall regime [J].
Bishara, Waheb ;
Nayak, Chetan .
PHYSICAL REVIEW B, 2009, 80 (12)
[8]   Observation of the fractional quantum Hall effect in graphene [J].
Bolotin, Kirill I. ;
Ghahari, Fereshte ;
Shulman, Michael D. ;
Stormer, Horst L. ;
Kim, Philip .
NATURE, 2009, 462 (7270) :196-199
[9]   The electronic properties of graphene [J].
Castro Neto, A. H. ;
Guinea, F. ;
Peres, N. M. R. ;
Novoselov, K. S. ;
Geim, A. K. .
REVIEWS OF MODERN PHYSICS, 2009, 81 (01) :109-162
[10]  
Dean CR, 2011, NAT PHYS, V7, P693, DOI [10.1038/NPHYS2007, 10.1038/nphys2007]