Power laws in a two-leg ladder of interacting spinless fermions

被引：0

作者：

Caron, LG ^{[1
]}

Bourbonnais, C

机构：

[1] Univ Sherbrooke, Dept Phys, Sherbrooke, PQ J1K 2R1, Canada

[2] Univ Sherbrooke, Ctr Rech Proprietes Elect Mat Avances, Sherbrooke, PQ J1K 2R1, Canada

来源：

PHYSICAL REVIEW B | 2002年 / 66卷 / 04期

关键词：

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We use the density-matrix renormalization group to study the single-particle and two-particle correlation functions of spinless fermions in the ground state of a quarter filled ladder. This ladder consists of two chains having an in-chain extended Coulomb interaction reaching to third neighbor and coupled by interchain hopping. Within our short numerical coherence lengths, typically reaching 10 to 20 sites, we find a strong renormalization of the interchain hopping and the existence of a dimensional crossover at smaller interactions. We also find power exponents for single-particle hopping and interchain polarization consistent with the single chain. The total occupation correlation function has a larger power exponent and shows signs of a crossover from incoherent fermion hopping to coherent particle-hole pair motion between chains. We believe the ladder is gapless.

引用

页数：10

共 25 条

[1] Deconfinement transition and Luttinger to Fermi liquid crossover in quasi-one-dimensional systems [J].

Biermann, S ;

Georges, A ;

Lichtenstein, A ;

Giamarchi, T .

PHYSICAL REVIEW LETTERS, 2001, 87 (27) :276405-1

[2] RENORMALIZATION-GROUP APPROACH TO QUASI-ONE-DIMENSIONAL CONDUCTORS [J].

BOURBONNAIS, C ;

CARON, LG .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 1991, 5 (6-7) :1033-1096

[3]

BOURBONNAIS C, 1999, ADV SYNTHETIC METALS, P206

[4]

BOURBONNAIS C, 1995, HOUCHES, P307

[5]

Brazovskii S. A., 1985, Soviet Physics - JETP, V62, P1340

[6] Universal scaling behavior of coupled chains of interacting fermions [J].

Capponi, S ;

Poilblanc, D ;

Arrigoni, E .

PHYSICAL REVIEW B, 1998, 57 (11) :6360-6369

[7] Spinless fermion ladders at half filling [J].

Donohue, P ;

Tsuchiizu, M ;

Giamarchi, T ;

Suzumura, Y .

PHYSICAL REVIEW B, 2001, 63 (04) :451211-451218

[8]

Emery V J., 1979, Highly Conducting One-Dimensional Solids, Ved, pp 247

[9] ROLE OF TRANSVERSE HOPPING IN A 2-COUPLED-CHAINS MODEL [J].

FABRIZIO, M .

PHYSICAL REVIEW B, 1993, 48 (21) :15838-15860

[10] GROUND-STATES AND CRITICAL-TEMPERATURES IN QUASI-ONE-DIMENSIONAL SYSTEMS [J].

FIRSOV, YA ;

PRIGODIN, VN ;

SEIDEL, C .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1985, 126 (5-6) :245-+

← 1 2 3 →