Orbital Magnetization as a Local Property

被引：59

作者：

Bianco, Raffaello ^{[1
]}

Resta, Raffaele ^{[1
,2
]}

机构：

[1] Univ Trieste, Dipartimento Fis, I-34127 Trieste, Italy

[2] Ecole Polytech Fed Lausanne, CECAM, CH-1015 Lausanne, Switzerland

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 08期

关键词：

POLARIZATION; DENSITY; SOLIDS;

D O I：

10.1103/PhysRevLett.110.087202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The modern expressions for polarization P and orbital magnetization M are k-space integrals. But a genuine bulk property should also be expressible in r space, as an unambiguous function of the ground-state density matrix, "nearsighted'' in insulators, independently of the boundary conditions-either periodic or open. While P-owing to its "quantum'' indeterminacy-is not a bulk property in this sense, M is. We provide its r-space expression for any insulator, even with a nonzero Chern invariant. Simulations on a model Hamiltonian validate our theory. DOI: 10.1103/PhysRevLett.110.087202

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页数：4

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