Kagome lattice antiferromagnet stripped to its basics

被引：48
作者：
Azaria, P
Hooley, C
Lecheminant, P
Lhuillier, C
Tsvelik, AM
机构：
[1] Univ Paris 06, Phys Theor Liquides Lab, F-75252 Paris, France
[2] Univ Oxford, Dept Phys, Oxford OX1 3NP, England
[3] Univ Cergy Pontoise, Lab Phys Theor & Modelisat, F-95302 Cergy Pontoise, France
来源：
PHYSICAL REVIEW LETTERS | 1998年 / 81卷 / 08期
关键词：
D O I：
10.1103/PhysRevLett.81.1694
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a model of the spin S = 1/2 Heisenberg antiferromagnet on a one-dimensional lattice with the local symmetry of the two-dimensional Kagome lattice. Using three complementary approaches, it is shown that the low-energy spectrum can be described by two critical Ising models with different velocities. One of these velocities is small, leading to a strongly localized Majorana fermion. These excitations are singlet ones, whereas the triplet sector has a spectral gap. [S0031-9007(98)06935-X].
引用
收藏
页码：1694 / 1697
页数：4
相关论文
共 19 条
  • [1] EXACT CRITICAL EXPONENTS FOR QUANTUM SPIN CHAINS, NONLINEAR SIGMA-MODELS AT THETA=PI AND THE QUANTUM HALL-EFFECT
    AFFLECK, I
    [J]. NUCLEAR PHYSICS B, 1986, 265 (03) : 409 - 447
  • [2] HIDDEN ORDER IN A FRUSTRATED SYSTEM - PROPERTIES OF THE HEISENBERG KAGOME ANTIFERROMAGNET
    CHALKER, JT
    HOLDSWORTH, PCW
    SHENDER, EF
    [J]. PHYSICAL REVIEW LETTERS, 1992, 68 (06) : 855 - 858
  • [3] GROUND-STATE DISORDER IN THE SPIN-1/2 KAGOME HEISENBERG-ANTIFERROMAGNET
    CHALKER, JT
    EASTMOND, JFG
    [J]. PHYSICAL REVIEW B, 1992, 46 (21): : 14201 - 14204
  • [4] CHANDRA P, 1993, J PHYS I, V3, P591, DOI 10.1051/jp1:1993104
  • [5] ORDER FROM DISORDER IN A KAGOME ANTIFERROMAGNET
    CHUBUKOV, A
    [J]. PHYSICAL REVIEW LETTERS, 1992, 69 (05) : 832 - 835
  • [6] SIMPLE FORMULATION OF THE 2-CHANNEL KONDO MODEL
    COLEMAN, P
    IOFFE, LB
    TSVELIK, AM
    [J]. PHYSICAL REVIEW B, 1995, 52 (09) : 6611 - 6627
  • [7] SPIN-1/2 HEISENBERG-ANTIFERROMAGNET ON THE KAGOME LATTICE - HIGH-TEMPERATURE EXPANSION AND EXACT-DIAGONALIZATION STUDIES
    ELSTNER, N
    YOUNG, AP
    [J]. PHYSICAL REVIEW B, 1994, 50 (10): : 6871 - 6876
  • [8] MAPPING OF THE 2-CHANNEL KONDO PROBLEM TO A RESONANT-LEVEL MODEL
    EMERY, VJ
    KIVELSON, S
    [J]. PHYSICAL REVIEW B, 1992, 46 (17) : 10812 - 10817
  • [9] POSSIBLE NEEL ORDERINGS OF THE KAGOME ANTIFERROMAGNET
    HARRIS, AB
    KALLIN, C
    BERLINSKY, AJ
    [J]. PHYSICAL REVIEW B, 1992, 45 (06): : 2899 - 2919
  • [10] Order versus disorder in the quantum Heisenberg antiferromagnet on the kagome lattice using exact spectra analysis
    Lecheminant, P
    Bernu, B
    Lhuillier, C
    Pierre, L
    Sindzingre, P
    [J]. PHYSICAL REVIEW B, 1997, 56 (05): : 2521 - 2529
12