On the reduced density matrix for a chain of free electrons

被引：113

作者：

Peschel, I ^{[1
]}

机构：

[1] Free Univ Berlin, Fachbereich Phys, D-14195 Berlin, Germany

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2004年

关键词：

solvable lattice models; conformal field theory (theory); density matrix renormalization group calculations;

D O I：

10.1088/1742-5468/2004/06/P06004

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The properties of the reduced density matrix describing an interval of N sites in an infinite chain of free electrons are investigated. A commuting operator is found for arbitrary filling and also for open chains. For a half filled periodic chain it is used to determine the eigenfunctions for the dominant eigenvalues analytically in the continuum limit. Relations to the critical six-vertex model are discussed.

引用

页数：9

共 30 条

[1]

Baxter R J., 1982, EXACTLY SOLVED MODEL

[2] ON GEOMETRIC ENTROPY [J].

CALLAN, C ;

WILCZEK, F .

PHYSICS LETTERS B, 1994, 333 (1-2) :55-61

[3] Operator-based truncation scheme based on the many-body fermion density matrix [J].

Cheong, SA ;

Henley, CL .

PHYSICAL REVIEW B, 2004, 69 (07)

[4] Many-body density matrices for free fermions [J].

Cheong, SA ;

Henley, CL .

PHYSICAL REVIEW B, 2004, 69 (07)

[5] Density-matrix spectra for two-dimensional quantum systems [J].

Chung, MC ;

Peschel, I .

PHYSICAL REVIEW B, 2000, 62 (07) :4191-4193

[6] Density-matrix spectra of solvable fermionic systems [J].

Chung, MC ;

Peschel, I .

PHYSICAL REVIEW B, 2001, 64 (06)

[7] CORNER TRANSFER-MATRICES FOR THE ISING-MODEL [J].

DAVIES, B .

PHYSICA A, 1988, 154 (01) :1-20

[8] CONFORMAL-INVARIANCE AND CRITICAL SPECTRUM OF CORNER TRANSFER-MATRICES [J].

DAVIES, B ;

PEARCE, PA .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1990, 23 (07) :1295-1312

[9]

GAITE J, 2003, QUANTPH0301120

[10] Quantum group, Bethe ansatz equations, and Bloch wave functions in magnetic fields [J].

Hatsugai, Y ;

Kohmoto, M ;

Wu, YS .

PHYSICAL REVIEW B, 1996, 53 (15) :9697-9712

← 1 2 3 →