Lattice versus continuum theory of the periodic Heisenberg chain

被引：11

作者：

Bortz, Michael ^{[1
]}

Karbach, Michael ^{[2
]}

Schneider, Imke ^{[1
]}

Eggert, Sebastian ^{[1
]}

机构：

[1] Tech Univ Kaiserslautern, Fachbereich Phys, D-67663 Kaiserslautern, Germany

[2] Berg Univ Wuppertal, Fachbereich Math & Nat Wissensch, D-42097 Wuppertal, Germany

来源：

PHYSICAL REVIEW B | 2009年 / 79卷 / 24期

关键词：

eigenvalues and eigenfunctions; excited states; Gaussian distribution; Heisenberg model; lattice theory; perturbation theory; spin systems; XXZ SPIN CHAIN; CONFORMAL-INVARIANCE; ANTIFERROMAGNETIC CHAINS; MAGNETIC-SUSCEPTIBILITY; CRITICAL-BEHAVIOR; CARBON NANOTUBES; ROOTS; UNITY; MODEL; SPECTRUM;

D O I：

10.1103/PhysRevB.79.245414

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider the detailed structure of low-energy excitations in the periodic spin-1/2 XXZ Heisenberg chain. By performing a perturbative calculation of the nonlinear corrections to the Gaussian model obtained from bosonization, we determine the exact coefficients of asymptotic expansions in inverse powers of the system length N for a large number of low-lying excited energy levels. This allows us to calculate eigenenergies of the lattice model up to order O(N-4), without having to solve the Bethe ansatz equations. At the same time, it is possible to express the exact eigenstates of the lattice model in terms of bosonic modes.

引用

页数：12

共 40 条

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