Exact spin dynamics of the 1/r^2 supersymmetric t-J model in a magnetic field

Abstract

The dynamical spin structure factor S^{zz}(Q,omega) in the small momentum region is derived analytically for the one-dimensional supersymmetric t-J model with 1/r^2 interaction. Strong spin-charge separation is found in the spin dynamics. The structure factor S^{zz}(Q,omega) with a given spin polarization does not depend on the electron density in the small momentum region. In the thermodynamic limit, only two spinons and one antispinon (magnon) contribute to S^{zz}(Q,omega). These results are derived via solution of the SU(2,1) Sutherland model in the strong coupling limit.

arXiv comment20 pages, 8 figures. Accepted for publication in J.Phys.A

References in corpus (23)

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• Solution of Some Integrable One-Dimensional Quantum Systems
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• The orthogonal eigenbasis and norms of eigenvectors in the Spin Calogero-Sutherland Model
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• Exact dynamical structure factor of the degenerate Haldane-Shastry model
• Exact Dynamics of the SU(K) Haldane-Shastry Model
• Jack polynomials with prescribed symmetry and hole propagator of spin Calogero-Sutherland model
• Exact Charge Dynamics in the Supersymmetric t-J Model with Inverse-Square Interaction
• Dynamical Properties of the One-Dimensional Supersymmetric t-J Model: A View from Elementary Excitations
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Cited by in corpus (8)

• One-Dimensional Quantum Liquids: Beyond the Luttinger Liquid Paradigm
• Low energy properties of the SU(m|n) supersymmetric Haldane-Shastry spin chain
• An exactly solvable supersymmetric spin chain of BC_N type
• Spectral properties of supersymmetric Polychronakos spin chain associated with A_{N-1} root system
• Thermodynamics and criticality of supersymmetric spin chains with long-range interactions
• Dynamics in One-Dimensional Spin Systems - Density-Matrix Renormalization Group Study
• Derivation of Green's Function of Spin Calogero-Sutherland Model by Uglov's Method
• Exact density matrix of the Gutzwiller wave function: II. Minority spin component