Interacting fermions on a one-channel ring

F. V. Kusmartsev

doi:10.1016/0375-9601(92)90684-E

Interacting fermions on a one-channel ring

F. V. Kusmartsev

Physics

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

35 Scopus citations

Abstract

The criterion for the creation of a flux phase state on a ring is studied by the Bethe-ansatz method. First we calculate exactly the spectrum of fermions located on a ring in a transverse magnetic field in the framework of models associated with the model of Heisenberg-Ising spin chains, i.e. we take into account only the next neighbor interaction. We find universality in the behavior of interacting fermions on the ring in the free fermion case in this model and prove the existence of the flux phase state on a ring. The physical reason for this effect is the appearance of a statistical flux at an even number of fermions on a ring. We show that a flux phase state is also the result of the magnetic Jahn-Teller effect. The conclusion does not depend on the interaction between the fermions. A relation between different oscillation phenomena on the ring and a hypothetic polymer magnet is proposed.

Original language	British English
Pages (from-to)	433-440
Number of pages	8
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	161
Issue number	5
DOIs	https://doi.org/10.1016/0375-9601(92)90684-E
State	Published - 13 Jan 1992

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title = "Interacting fermions on a one-channel ring",

abstract = "The criterion for the creation of a flux phase state on a ring is studied by the Bethe-ansatz method. First we calculate exactly the spectrum of fermions located on a ring in a transverse magnetic field in the framework of models associated with the model of Heisenberg-Ising spin chains, i.e. we take into account only the next neighbor interaction. We find universality in the behavior of interacting fermions on the ring in the free fermion case in this model and prove the existence of the flux phase state on a ring. The physical reason for this effect is the appearance of a statistical flux at an even number of fermions on a ring. We show that a flux phase state is also the result of the magnetic Jahn-Teller effect. The conclusion does not depend on the interaction between the fermions. A relation between different oscillation phenomena on the ring and a hypothetic polymer magnet is proposed.",

author = "Kusmartsev, {F. V.}",

note = "Funding Information: I wish to thank F. Woynorovich, S. Feng, A. Kallio and M.L. Ristig for fruitful discussion. This work was supported by the Alexander von Humboldt Foundation.",

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doi = "10.1016/0375-9601(92)90684-E",

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T1 - Interacting fermions on a one-channel ring

AU - Kusmartsev, F. V.

N1 - Funding Information: I wish to thank F. Woynorovich, S. Feng, A. Kallio and M.L. Ristig for fruitful discussion. This work was supported by the Alexander von Humboldt Foundation.

PY - 1992/1/13

Y1 - 1992/1/13

N2 - The criterion for the creation of a flux phase state on a ring is studied by the Bethe-ansatz method. First we calculate exactly the spectrum of fermions located on a ring in a transverse magnetic field in the framework of models associated with the model of Heisenberg-Ising spin chains, i.e. we take into account only the next neighbor interaction. We find universality in the behavior of interacting fermions on the ring in the free fermion case in this model and prove the existence of the flux phase state on a ring. The physical reason for this effect is the appearance of a statistical flux at an even number of fermions on a ring. We show that a flux phase state is also the result of the magnetic Jahn-Teller effect. The conclusion does not depend on the interaction between the fermions. A relation between different oscillation phenomena on the ring and a hypothetic polymer magnet is proposed.

AB - The criterion for the creation of a flux phase state on a ring is studied by the Bethe-ansatz method. First we calculate exactly the spectrum of fermions located on a ring in a transverse magnetic field in the framework of models associated with the model of Heisenberg-Ising spin chains, i.e. we take into account only the next neighbor interaction. We find universality in the behavior of interacting fermions on the ring in the free fermion case in this model and prove the existence of the flux phase state on a ring. The physical reason for this effect is the appearance of a statistical flux at an even number of fermions on a ring. We show that a flux phase state is also the result of the magnetic Jahn-Teller effect. The conclusion does not depend on the interaction between the fermions. A relation between different oscillation phenomena on the ring and a hypothetic polymer magnet is proposed.

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U2 - 10.1016/0375-9601(92)90684-E

DO - 10.1016/0375-9601(92)90684-E

M3 - Article

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VL - 161

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EP - 440

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5

ER -

Interacting fermions on a one-channel ring

Abstract

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