Majorana fermion representation for an antiferromagnetic spin-1/2 chain

Article

关键词: MEAN-FIELD-THEORY;    VALENCE BOND STATE;    CLASSICAL MECHANICS;    HEISENBERG MODELS;    KONDO-LATTICE;    2 DIMENSIONS;    GROUND-STATE;    DYNAMICS;    SUPERCONDUCTIVITY;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.55.2988

来源: SCIE

【 摘 要 】

We study the one-dimensional Heisenberg antiferromagnet with s = 1/2 using a Majorana representation of the s = 1/2 spins. A simple Hartree-Fock approximation of the resulting model gives a bilinear fermionic description of the model. This description is rotationally invariant and gives power-law correlations in the ''ground state'' in a natural fashion. The excitations are a two-parameter family of particles, which are spin-1 objects. These are contrasted to the ''spinon'' spectrum, and the technical aspects of the representation are discussed, including the problem of redundant states.

【 授权许可】

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