Journal
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 77, Issue 2, Pages -Publisher
PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.77.024006
Keywords
delta-function gas; spin-1/2 fermions; external magnetic field; one-dimensional integrable systems; nested Bethe ansatz; thermal Bethe ansatz
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We study the excitation spectrum of a one-dimensional delta-function attractive spin-1/2 fermions by the thermal Bethe ansatz method at zero temperature. The integral equation for the dressed energies of the system with an external magmatic field is solved in the form of power series. The first few terms of the asymptotic expansions for both strong and weak coupling cases are calculated analytically. We also study the magnetization as a function of the coupling constant and the external field.
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