Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-05-09
J. Phys. A: Math. Theor. 44, 405005 (2011)
Physics
Condensed Matter
Quantum Gases
21 pages, 2 figures
Scientific paper
10.1088/1751-8113/44/40/405005
The low temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the Yang-Yang thermodynamic Bethe ansatz method. The analytical free energy and magnetic properties of the model at low temperatures in a weak magnetic field are derived via the Wiener-Hopf method. It is shown that the low energy physics can be described by spin-charge separated conformal field theories of an effective Tomonaga-Luttinger liquid and an antiferromagnetic SU(3) Heisenberg spin chain. Beyond the Tomonaga-Luttinger liquid regime, the equation of state is given in terms of the polylog function for a weak external field. The results obtained are essential for further study of quantum criticality in strongly repulsive three-component fermions.
Batchelor Murray T.
Guan Xiwen
He Peng
Lee Jen Yee
Wang Yupeng
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