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Abelian and non-Abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect
Liu, XL; Wang, ZQ; Xie, XC; Yu, Y; Yu, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
2011
发表期刊PHYSICAL REVIEW B
ISSN1098-0121
卷号83期号:12页码:125105
摘要We study the quantum anomalous Hall effect described by a class of two-component Haldane models on square lattices. We show that the latter can be transformed into a pseudospin triplet p + ip-wave paired superfluid. In the long wavelength limit, the ground-statewave function is described by Halperin's ( 1,1,-1) state of neutral fermions analogous to the double-layer quantum Hall effect. The vortex excitations are charge e/2 Abelian anyons which carry a neutral Dirac fermion zero mode. The superconducting proximity effect induces "tunneling" between "layers" which leads to topological phase transitions whereby the Dirac fermion zero mode fractionalizes and Majorana fermions emerge in the edge states. The charge e/2 vortex excitation carrying a Majorana zero mode is a non-Abelian anyon. The proximity effect can also drive a conventional insulator into a quantum anomalous Hall effect state with a Majorana edge mode and the non-Abelian vortex excitations.
部门归属[Liu, Xuele; Yu, Yue] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Liu, Xuele; Xie, X. C.] Oklahoma State Univ, Dept Phys, Stillwater, OK 74078 USA; [Wang, Ziqiang] Boston Coll, Dept Phys, Chestnut Hill, MA 02467 USA; [Xie, X. C.] Peking Univ, Int Ctr Quantum Mat, Beijing 100871, Peoples R China
关键词Insulators Parity Nu=1/2 States Wells
学科领域Physics
资助者National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545]
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收录类别SCI
语种英语
资助者National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545] ; National Natural Science Foundation of China; MOST of China; Key Lab of Frontiers in Theoretical Physics of CAS; DOE [DE-FG02-99ER45747, DE-FG02-04ER46124]; NSF [DMR-0704545]
WOS记录号WOS:000288532400001
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/14391
专题理论物理所SCI论文
通讯作者Yu, Y (reprint author), Chinese Acad Sci, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
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Liu, XL,Wang, ZQ,Xie, XC,et al. Abelian and non-Abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect[J]. PHYSICAL REVIEW B,2011,83(12):125105.
APA Liu, XL,Wang, ZQ,Xie, XC,Yu, Y,&Yu, Y .(2011).Abelian and non-Abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect.PHYSICAL REVIEW B,83(12),125105.
MLA Liu, XL,et al."Abelian and non-Abelian anyons in integer quantum anomalous Hall effect and topological phase transitions via superconducting proximity effect".PHYSICAL REVIEW B 83.12(2011):125105.
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