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

Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general SU(K) fermionic system in one dimension for both the repulsive and attractive regimes under the presence of an external magnetic field. These equations are...

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Bibliographic Details
Published inJournal of physics. A, Mathematical and theoretical Vol. 44; no. 16; pp. 165002 - 21
Main Authors Lee, J Y, Guan, X W, Batchelor, M T
Format Journal Article
LanguageEnglish
Published IOP Publishing 22.04.2011
Subjects
Derivation
Fermions
Magnetic fields
Mathematical analysis
Phase diagrams
Phases
Roots
Thermodynamics
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Summary:Using Yang and Yang's particle-hole description, we present a thorough derivation of the thermodynamic Bethe ansatz equations for a general SU(K) 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.
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ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/16/165002