Drude weight of the spin-1/2 XXZ chain: Density matrix renormalization group versus exact diagonalization

被引：58

作者：

Karrasch, C. ^{[1
,2
]}

Hauschild, J. ^{[3
,4
]}

Langer, S. ^{[3
,4
,5
]}

Heidrich-Meisner, F. ^{[3
,4
,6
]}

机构：

[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 95720 USA

[2] Univ Calif Berkeley, Lawrence Berkeley Natl Lab, Div Mat Sci, Berkeley, CA 94720 USA

[3] Univ Munich, Dept Phys, D-80333 Munich, Germany

[4] Univ Munich, Arnold Sommerfeld Ctr Theoret Phys, D-80333 Munich, Germany

[5] Univ Pittsburgh, Dept Phys & Astron, Pittsburgh, PA 15260 USA

[6] Univ Erlangen Nurnberg, Inst Theoret Phys 2, D-91054 Erlangen, Germany

来源：

PHYSICAL REVIEW B | 2013年 / 87卷 / 24期

关键词：

TRANSPORT; INTEGRABILITY; CONDUCTIVITY; STIFFNESS; DYNAMICS;

D O I：

10.1103/PhysRevB.87.245128

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We revisit the problem of the spin Drude weight D of the integrable spin-1/2 XXZ chain using two complementary approaches, exact diagonalization (ED) and the time-dependent density-matrix renormalization group (tDMRG). We pursue two main goals. First, we present extensive results for the temperature dependence of D. By exploiting time translation invariance within tDMRG, one can extract D for significantly lower temperatures than in previous tDMRG studies. Second, we discuss the numerical quality of the tDMRG data and elaborate on details of the finite-size scaling of the ED results, comparing calculations carried out in the canonical and grand-canonical ensembles. Furthermore, we analyze the behavior of the Drude weight as the point with SU(2)-symmetric exchange is approached and discuss the relative contribution of the Drude weight to the sum rule as a function of temperature.

引用

页数：10