Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions

Peng He; Jen Yee Lee; Xiwen Guan; Murray T. Batchelor; Yupeng Wang

doi:10.1088/1751-8113/44/40/405005

Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions

Peng He^*, Jen Yee Lee, Xiwen Guan, Murray T. Batchelor, Yupeng Wang

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The low-temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the YangYang 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 WienerHopf method. It is shown that the low-energy physics can be described by spin-charge separated conformal field theories of an effective TomonagaLuttinger liquid and an antiferromagnetic SU(3) Heisenberg spin chain. Beyond the TomonagaLuttinger 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.

Original language	English
Article number	405005
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	44
Issue number	40
DOIs	https://doi.org/10.1088/1751-8113/44/40/405005
Publication status	Published - 7 Oct 2011

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title = "Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions",

abstract = "The low-temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the YangYang 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 WienerHopf method. It is shown that the low-energy physics can be described by spin-charge separated conformal field theories of an effective TomonagaLuttinger liquid and an antiferromagnetic SU(3) Heisenberg spin chain. Beyond the TomonagaLuttinger 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.",

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T1 - Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions

AU - He, Peng

AU - Lee, Jen Yee

AU - Guan, Xiwen

AU - Batchelor, Murray T.

AU - Wang, Yupeng

PY - 2011/10/7

Y1 - 2011/10/7

N2 - The low-temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the YangYang 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 WienerHopf method. It is shown that the low-energy physics can be described by spin-charge separated conformal field theories of an effective TomonagaLuttinger liquid and an antiferromagnetic SU(3) Heisenberg spin chain. Beyond the TomonagaLuttinger 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.

AB - The low-temperature thermodynamics of one-dimensional strongly repulsive SU(3) fermions in the presence of a magnetic field is investigated via the YangYang 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 WienerHopf method. It is shown that the low-energy physics can be described by spin-charge separated conformal field theories of an effective TomonagaLuttinger liquid and an antiferromagnetic SU(3) Heisenberg spin chain. Beyond the TomonagaLuttinger 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.

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DO - 10.1088/1751-8113/44/40/405005

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VL - 44

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

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ER -

Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions

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