2010/11/30 by J. Y. Lee, J Y Lee, X. W. Guan +3
Mathematics · Physics and Astronomy · #Ansatz #Bethe ansatz #Cold Atom Physics and Bose-Einstein Condensates #Dimension (graph theory) #Fermion #Non-equilibrium thermodynamics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Work (physics) #cond-mat.quant-gas #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/44/16/165002
published as J. Phys. A: Math. Theor. 44 (2011) 165002 · 22 pages, 2 figures, slight improvements, some extra references
openalex publication_date 2011/03/30 · arxiv created 2011/04/02 · arxiv updated 2011/04/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.