Fractional quantum Hall interferometers in a strong tunneling regime: The role of compactness in edge fields

被引:3
作者
Ganeshan, Sriram [1 ]
Abanov, Alexander G. [1 ]
Averin, Dmitri V. [1 ]
机构
[1] SUNY Stony Brook, Dept Phys & Astron, Stony Brook, NY 11794 USA
来源
PHYSICAL REVIEW B | 2012年 / 86卷 / 23期
基金
美国国家科学基金会;
关键词
CHIRAL LUTTINGER LIQUIDS; STATES; CONDUCTANCE; SYSTEMS; NOISE;
D O I
10.1103/PhysRevB.86.235309
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We consider multiple-point tunneling in the interferometers formed between edges of electron liquids with, in general, different filling factors in the regime of the fractional quantum Hall effect (FQHE). We derive an effective matrix Caldeira-Leggett model for the multiple tunneling contacts connecting the chiral single-mode FQHE edges. It is shown that the compactness of the Wen-Frohlich chiral boson fields describing the FQHE edge modes plays a crucial role in eliminating the spurious nonlocality of the electron transport properties of the FQHE interferometers arising in the regime of strong tunneling. DOI: 10.1103/PhysRevB.86.235309
引用
收藏
页数:5
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共 27 条
[1]  
Averin D. V., 1985, Soviet Physics - JETP, V61, P407
[2]   QUANTUM TUNNELLING IN A DISSIPATIVE SYSTEM [J].
CALDEIRA, AO ;
LEGGETT, AJ .
ANNALS OF PHYSICS, 1983, 149 (02) :374-456
[3]   TUNNELING AND QUANTUM-NOISE IN ONE-DIMENSIONAL LUTTINGER LIQUIDS [J].
CHAMON, CD ;
FREED, DE ;
WEN, XG .
PHYSICAL REVIEW B, 1995, 51 (04) :2363-2379
[4]   Nonequilibrium quantum noise in chiral Luttinger liquids [J].
Chamon, CD ;
Freed, DE ;
Wen, XG .
PHYSICAL REVIEW B, 1996, 53 (07) :4033-4053
[5]   Two point-contact interferometer for quantum Hall systems [J].
Chamon, CDC ;
Freed, DE ;
Kivelson, SA ;
Sondhi, SL ;
Wen, XG .
PHYSICAL REVIEW B, 1997, 55 (04) :2331-2343
[6]   Chiral Luttinger liquids at the fractional quantum Hall edge [J].
Chang, AM .
REVIEWS OF MODERN PHYSICS, 2003, 75 (04) :1449-1505
[7]   EXACT CONDUCTANCE THROUGH POINT CONTACTS IN THE NU=1/3 FRACTIONAL QUANTUM HALL-EFFECT [J].
FENDLEY, P ;
LUDWIG, AWW ;
SALEUR, H .
PHYSICAL REVIEW LETTERS, 1995, 74 (15) :3005-3008
[8]   UNIVERSALITY IN QUANTUM HALL SYSTEMS [J].
FROHLICH, J ;
KERLER, T .
NUCLEAR PHYSICS B, 1991, 354 (2-3) :369-417
[9]   IMPURITY SCATTERING AND TRANSPORT OF FRACTIONAL QUANTUM HALL EDGE STATES [J].
KANE, CL ;
FISHER, MPA .
PHYSICAL REVIEW B, 1995, 51 (19) :13449-13466
[10]   Double point contact in quantum Hall line junctions [J].
Kim, EA ;
Fradkin, E .
PHYSICAL REVIEW LETTERS, 2003, 91 (15)