Excited State TBA and Functional Relations in Spinless Fermion Model

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Author(s)

Abstract

The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations among them (T-system) and their certain combinations (Y-system). From their analytical property, we derive a closed set of non linear integral equations which characterize the correlation length of ‹ c<SUB>j</SUB><SUP>†</SUP>c<SUB>i</SUB>› at any finite temperatures. Solving these equations numerically, we explicitly determine the correlation length, which accurately coincides with previous results.

Journal

  • Journal of the Physical Society of Japan

    Journal of the Physical Society of Japan 68(6), 1789-1792, 1999-06-15

    The Physical Society of Japan (JPS)

References:  28

  • <no title>

    GAUDIN M.

    Phys. Rev. Lett. 26, 1301, 1971

    Cited by (3)

  • <no title>

    TAKAHASHI M.

    Prog. Theor. Phys. 46, 401, 1971

    Cited by (6)

  • <no title>

    TAKAHASHI M.

    Prog. Theor. Phys. 48, 2187, 1972

    Cited by (3)

  • <no title>

    SUZUKI M.

    Phys. Rev. B 31, 2957, 1985

    Cited by (6)

  • <no title>

    SUZUKI M.

    Prog. Theor. Phys. 78, 787, 1987

    Cited by (5)

  • <no title>

    INOUE M.

    Prog. Theor. Phys. 79, 645, 1988

    Cited by (5)

  • <no title>

    KOMA T.

    Prog. Theor. Phys. 78, 1213, 1987

    Cited by (4)

  • <no title>

    SUZUKI J.

    J. Phys. Soc. Jpn. 59, 2667, 1990

    Cited by (5)

  • <no title>

    SUZUKI J.

    Int. J. Mod. Phys. B 6, 1119, 1992

    Cited by (4)

  • <no title>

    DESTRI C.

    Phys. Rev. Lett. 69, 2313, 1992

    Cited by (1)

  • <no title>

    TAKAHASHI M.

    Phys. Rev. B 43, 5788, 1991

    Cited by (3)

  • <no title>

    MIZUTA H.

    J. Phys. Soc. Jpn. 63, 3951, 1994

    Cited by (3)

  • <no title>

    KLUMPER A.

    Ann. Physik 1, 540, 1992

    Cited by (2)

  • <no title>

    KLUMPER A.

    Z. Phys. B 91, 507, 1993

    Cited by (2)

  • <no title>

    JUTTNER G.

    Euro. Phys. Lett. 37, 335, 1997

    Cited by (1)

  • <no title>

    JUTTNER G.

    Nucl. Phys. B 487, 650, 1997

    Cited by (1)

  • <no title>

    JUTTNER G.

    J. Phys. A 30, 1881, 1997

    Cited by (1)

  • <no title>

    JUTTNER G.

    Nucl. Phys. B 512, 581, 1998

    Cited by (2)

  • <no title>

    JUTTNER G.

    Nucl. Phys. B 522, 471, 1998

    Cited by (1)

  • <no title>

    KLUMPER A.

    Euro. Phys. J. B 5, 677, 1998

    Cited by (1)

  • <no title>

    FABRICIUS K.

    Competition of ferromagnetic and antiferromagnetic order in the spin-1/2 XXZ chain at finite temperature.

    Cited by (1)

  • <no title>

    FABRICIUS K.

    Temperature dependent spatial oscillations in the correlations of the XXZ spin chain.

    Cited by (1)

  • <no title>

    SUZUKI J.

    Nucl. Phys. B 528, 683, 1998

    Cited by (1)

  • <no title>

    SAKAI K.

    Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model

    Cited by (1)

  • <no title>

    YANG C. N.

    J. Math. Phys. 10, 1115, 1969

    DOI  Cited by (17)

  • <no title>

    KUNIBA A.

    Nucl. Phys. B 525, 597, 1998

    DOI  Cited by (2)

  • <no title>

    KUNIBA A.

    Int. J. Mod. Phys. A 9, 5215, 1994

    DOI  Cited by (3)

  • <no title>

    KUNIBA A.

    Int. J. Mod. Phys. A 9, 5267, 1994

    DOI  Cited by (4)

Codes

  • NII Article ID (NAID)
    110001955466
  • NII NACSIS-CAT ID (NCID)
    AA00704814
  • Text Lang
    ENG
  • Article Type
    SHO
  • ISSN
    00319015
  • NDL Article ID
    4773457
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A404
  • Data Source
    CJP  NDL  NII-ELS  J-STAGE 
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