PARITY EFFECTS IN A LUTTINGER LIQUID - DIAMAGNETIC AND PARAMAGNETIC GROUND-STATES

被引:206
作者
LOSS, D
机构
关键词
D O I
10.1103/PhysRevLett.69.343
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The concept of a Luttinger liquid in 1 D is extended to include twisted boundary conditions on a ring and mesoscopic parity effects due to evenness and oddness of the particle number N0. Using Haldane's notion of topological excitations, a proof of Leggett's conjecture is presented, stating that the ground state of interacting 1 D quantum systems is diamagnetic or paramagnetic depending on the parity of N0. The persistent currents produced by an Aharonov-Bohm flux are calculated and shown to have period and amplitude that are in agreement with recent experiments.
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页码:343 / 346
页数:4
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共 26 条
[1]   PERSISTENT DIFFERENCES BETWEEN CANONICAL AND GRAND CANONICAL AVERAGES IN MESOSCOPIC ENSEMBLES - LARGE PARAMAGNETIC ORBITAL SUSCEPTIBILITIES [J].
ALTSHULER, BL ;
GEFEN, Y ;
IMRY, Y .
PHYSICAL REVIEW LETTERS, 1991, 66 (01) :88-91
[2]   COHERENCE AND PERSISTENT CURRENTS IN MESOSCOPIC RINGS [J].
AMBEGAOKAR, V ;
ECKERN, U .
PHYSICAL REVIEW LETTERS, 1990, 65 (03) :381-384
[4]   PERSISTENT CURRENT IN MESOSCOPIC RINGS - ENSEMBLE AVERAGES AND HALF-FLUX-QUANTUM PERIODICITY [J].
BOUCHIAT, H ;
MONTAMBAUX, G .
JOURNAL DE PHYSIQUE, 1989, 50 (18) :2695-2707
[5]   JOSEPHSON BEHAVIOR IN SMALL NORMAL ONE-DIMENSIONAL RINGS [J].
BUTTIKER, M ;
IMRY, Y ;
LANDAUER, R .
PHYSICS LETTERS A, 1983, 96 (07) :365-367
[6]   THEORETICAL CONSIDERATIONS CONCERNING QUANTIZED MAGNETIC FLUX IN SUPERCONDUCTING CYLINDERS [J].
BYERS, N ;
YANG, CN .
PHYSICAL REVIEW LETTERS, 1961, 7 (02) :46-&
[7]   MAGNETIC RESPONSE OF A SINGLE, ISOLATED GOLD LOOP [J].
CHANDRASEKHAR, V ;
WEBB, RA ;
BRADY, MJ ;
KETCHEN, MB ;
GALLAGHER, WJ ;
KLEINSASSER, A .
PHYSICAL REVIEW LETTERS, 1991, 67 (25) :3578-3581
[8]   PERSISTENT CURRENTS IN MESOSCOPIC RINGS AND CYLINDERS [J].
CHEUNG, HF ;
RIEDEL, EK ;
GEFEN, Y .
PHYSICAL REVIEW LETTERS, 1989, 62 (05) :587-590
[9]   WARD IDENTITIES AND THE BETA-FUNCTION IN THE LUTTINGER LIQUID [J].
DICASTRO, C ;
METZNER, W .
PHYSICAL REVIEW LETTERS, 1991, 67 (27) :3852-3855
[10]   MODULAR INVARIANCE IN NONMINIMAL TWO-DIMENSIONAL CONFORMAL THEORIES [J].
DIFRANCESCO, P ;
SALEUR, H ;
ZUBER, JB .
NUCLEAR PHYSICS B, 1987, 285 (03) :454-480