Stability of Fermi surfaces and K theory -: art. no. 016405

被引：220

作者：

Horava, P ^{[1
]}

机构：

[1] Univ Calif Berkeley, Berkeley Ctr Theoret Phys, Berkeley, CA 94720 USA

[2] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA

[3] Univ Calif Berkeley, Theoret Phys Grp, Berkeley, CA 94720 USA

来源：

PHYSICAL REVIEW LETTERS | 2005年 / 95卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1103/PhysRevLett.95.016405

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Nonrelativistic Fermi liquids in d+1 dimensions exhibit generalized Fermi surfaces: (d-p)-dimensional submanifolds in the (k,omega)-space supporting gapless excitations. We show that the universality classes of stable Fermi surfaces are classified by K theory, with the pattern of stability determined by Bott periodicity. The Atiyah-Bott-Shapiro construction implies that the low-energy modes near a Fermi surface exhibit relativistic invariance in the transverse p+1 dimensions. This suggests an intriguing parallel between nonrelativistic Fermi liquids and D-branes of string theory.

引用

页数：4

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