Yang-Yang method for the thermodynamics of one-dimensional multi-component interacting fermions

J. Y. Lee, X. W. Guan, M. T. Batchelor

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    6 Citations (Scopus)

    Abstract

    Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general SU(κ) fermionic system in one dimension for both the repulsive and attractive regimes under the presence of an external magnetic field. These equations are derived from Sutherland's Bethe ansatz equations by using the spin-string hypothesis. The Bethe ansatz root patterns for the attractive case are discussed in detail. The relationship between the various phases of the magnetic phase diagrams and the external magnetic fields is given for the attractive case. We also give a quantitative description of the ground-state energies for both strongly repulsive and attractive regimes.

    Original languageEnglish
    Article number165002
    JournalJournal of Physics A: Mathematical and Theoretical
    Volume44
    Issue number16
    DOIs
    Publication statusPublished - 22 Apr 2011

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