Density-matrix spectra of solvable fermionic systems

被引：236

作者：

Chung, MC ^{[1
]}

Peschel, I ^{[1
]}

机构：

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

来源：

PHYSICAL REVIEW B | 2001年 / 64卷 / 06期

关键词：

D O I：

10.1103/PhysRevB.64.064412

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider noninteracting fermions on a lattice and give a general result for the reduced density matrices corresponding to parts of the system. This allows to calculate their spectra, which are essential in the density-matrix renormalization group method, by diagonalizing small matrices. We discuss these spectra and their typical features for various fermionic quantum chains and for the two-dimensional tight-binding model.

引用

页数：7

共 31 条

[1]

ABRAHAM DB, 1971, STUD APPL MATH, V50, P71

[2] PROPERTIES OF FERMION DENSITY MATRICES [J].

ANDO, T .

REVIEWS OF MODERN PHYSICS, 1963, 35 (03) :690-&

[3]

BAROUCH E, 1971, PHYS REV A, V3, P241

[4]

Baxter R. J., 2007, EXACTLY SOLVED MODEL

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

Chung, MC ;

Peschel, I .

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

[6] STRUCTURE OF FERMION DENSITY MATRICES [J].

COLEMAN, AJ .

REVIEWS OF MODERN PHYSICS, 1963, 35 (03) :668-&

[7]

Davidson E.R., 1999, MAGNET

[8] NATURAL EXPANSION OF EXACT WAVEFUNCTIONS .2. HYDROGEN-MOLECULE GROUND STATE [J].

DAVIDSON, ER ;

JONES, LL .

JOURNAL OF CHEMICAL PHYSICS, 1962, 37 (12) :2966-&

[9] Magnetic and quadrupolar order in a one-dimensional ferromagnet with cubic crystal-field anisotropy [J].

Dudzinski, M ;

Fáth, G ;

Sznajd, J .

PHYSICAL REVIEW B, 1999, 59 (21) :13764-13773

[10] SURFACE AND CORNER MAGNETIZATIONS IN THE TWO-DIMENSIONAL ISING-MODEL [J].

KAISER, C ;

PESCHEL, I .

JOURNAL OF STATISTICAL PHYSICS, 1989, 54 (3-4) :567-579

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