Analysis of the Antiferromagnetic Phase Transitions of the 2D Kondo Lattice

被引：17

作者：

Ong, T. Tzen ^{[1
,2
]}

Jones, B. A. ^{[2
]}

机构：

[1] Stanford Univ, Dept Appl Phys, Stanford, CA 94305 USA

[2] Almaden Res Ctr, IBM Res Div, San Jose, CA 95120 USA

来源：

PHYSICAL REVIEW LETTERS | 2009年 / 103卷 / 06期

关键词：

NONLINEAR SIGMA-MODEL; GROUND-STATES; FERMI-SURFACE; HEAVY; SPIN; TEMPERATURE; EXPANSION;

D O I：

10.1103/PhysRevLett.103.066405

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the antiferromagnetic quantum phase transition of a 2D Kondo-Heisenberg square lattice using the nonlinear sigma model. A renormalization group analysis of the competing Kondo-RKKY interaction is carried out to one-loop order in the epsilon expansion, and a new quantum critical point (QCP) strongly affected by Kondo fluctuations is found. Near this QCP, the spin-wave velocity scales logarithmically, i.e., breakdown of hydrodynamic behavior, and the spin wave is logarithmically frozen out. The renormalization group results also allow us to propose a new phase diagram near the antiferromagnetic fixed point of this 2D Kondo lattice model.

引用

页数：4

共 30 条

[1] COOPER INSTABILITY IN THE PRESENCE OF A SPIN LIQUID [J].

ANDREI, N ;

COLEMAN, P .

PHYSICAL REVIEW LETTERS, 1989, 62 (05) :595-598

[2] KONDO BOSONS AND THE KONDO LATTICE - MICROSCOPIC BASIS FOR THE HEAVY FERMI-LIQUID [J].

AUERBACH, A ;

LEVIN, K .

PHYSICAL REVIEW LETTERS, 1986, 57 (07) :877-880

[3] Chiral magnetic order at surfaces driven by inversion asymmetry [J].

Bode, M. ;

Heide, M. ;

von Bergmann, K. ;

Ferriani, P. ;

Heinze, S. ;

Bihlmayer, G. ;

Kubetzka, A. ;

Pietzsch, O. ;

Bluegel, S. ;

Wiesendanger, R. .

NATURE, 2007, 447 (7141) :190-193

[4] RENORMALIZATION OF NONLINEAR SIGMA-MODEL IN 2+ EPSILON-DIMENSIONS-APPLICATION TO HEISENBERG FERROMAGNETS [J].

BREZIN, E ;

ZINJUSTIN, J .

PHYSICAL REVIEW LETTERS, 1976, 36 (13) :691-694

[5] SPONTANEOUS BREAKDOWN OF CONTINUOUS SYMMETRIES NEAR 2 DIMENSIONS [J].

BREZIN, E ;

ZINNJUSTIN, J .

PHYSICAL REVIEW B, 1976, 14 (07) :3110-3120

[6] How do Fermi liquids get heavy and die? [J].

Coleman, P ;

Pépin, C ;

Si, QM ;

Ramazashvili, R .

JOURNAL OF PHYSICS-CONDENSED MATTER, 2001, 13 (35) :R723-R738

[7] KONDO LATTICE AND WEAK ANTIFERROMAGNETISM [J].

DONIACH, S .

PHYSICA B & C, 1977, 91 (JUL) :231-234

[8] Locally critical point in an anisotropic Kondo lattice [J].

Grempel, DR ;

Si, QM .

PHYSICAL REVIEW LETTERS, 2003, 91 (02) :1-026401

[9] NON-LINEAR ELASTIC THEORY OF SMECTIC LIQUID-CRYSTALS [J].

GRINSTEIN, G ;

PELCOVITS, RA .

PHYSICAL REVIEW A, 1982, 26 (02) :915-925

[10] O(3) NONLINEAR SIGMA-MODEL AND THE TOPOLOGICAL DISTINCTION BETWEEN INTEGER-SPIN AND HALF-INTEGER-SPIN ANTIFERROMAGNETS IN 2 DIMENSIONS [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1988, 61 (08) :1029-1032

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