Finite-size effects in a non-half-filled Hubbard chain

In this paper, we continue our investigation of a one-dimensional, twocomponent, quantum many-body system in which like particles interact with a pair potential s(s + 1)/sinh 2 (r), while unlike particles interact with a pair potential −s(s + 1)/cosh 2 (r). For an equal number of particles of the two components, the ground state for s > 0 corresponds to an antiferromagnet/insulator. Excitations consist of a gapless pair-hole-pair continuum, a two-particle continuum with gap and excitons with gap. For −1 < s < 0, the system has two gapless excitations -a particle-hole continuum and a two spin-wave continuum. Using finite-size scaling methods of conformal field theory, we calculate the asymptotic expressions and critical exponents for correlation functions of these gapless excitations at zero temperature. The conformal structure is closely related to the Hubbard model with repulsive on-site interaction. 64.60.Fr, 71.45Gm, 75.30Ds

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“…6,7 In general, one finds a c = 1 Virasoro algebra for each critical degree of freedom, i.e. each gapless excitation with a unique velocity.…”

Section: Introductionmentioning

confidence: 99%

Critical exponents for the sinh-cosh interaction model in the zero sector

Römer

Sutherland

1994

Phys. Rev. B

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“…Furthermore, we can explicitly calculate the charge excitation energy, applying the method [19] of the finite-size correction. We recall that k h denotes the charge rapidity of the new hole.…”

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confidence: 99%

A gapless charge mode induced by the boundary states in the half-filled Hubbard open chain

Deguchi

Yue²,

Kusakabe

1998

J. Phys. A: Math. Gen.

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“…The low-lying excitations of the system with periodic boundary conditions can be described by the finite size corrections to the ground state energy [53][54][55] …”

Section: Conformal Towersmentioning

confidence: 99%

“…These eight quantum numbers determine the conformal asymptote of the correlation function for a given conformal field operator O. At T = 0 the corresponding space and time dependent correlation function is given by [53][54][55] …”

Section: Conformal Towersmentioning

confidence: 99%

Fermi gas with attractive potential and spinS=32in a one-dimensional trap: Response functions for superfluidity and FFLO signatures

Schlottmann

Zvyagin

2012

Phys. Rev. B

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In the context of a gas of ultracold atoms with effective spin S = 3/2 confined to an elongated trap we study the one-dimensional Fermi gas interacting via an attractive δ-function potential within the grand-canonical ensemble. The particles can be either unbound or clustered in bound states of two, three and four fermions. The rich µ vs. H ground state phase diagram (µ is the chemical potential and H the external magnetic field) consists of the four basic states and the various possible mixed phases in which some these states coexist. Extending the analysis of K. Yang [Phys. Rev. B 63, 140511(R) (2001)] for S = 1/2, we study the correlation functions of the generalized Cooper clusters of bound states of two, three and four particles using conformal field theory and the exact Bethe ansatz solution. The correlation functions consist of a power law with distance times a sinusoidal term oscillating with distance. In an array of tubes with weak Josephson tunneling the type of superfluid order is determined by these correlation functions. The wavelength of the oscillations is related to the periodicity of a generalized Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state for higher spin particles. All the relevant states are analyzed for S = 3/2.

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Finite-size effects in a non-half-filled Hubbard chain

Cited by 168 publications

References 17 publications

Critical exponents for the sinh-cosh interaction model in the zero sector

Critical exponents for the sinh-cosh interaction model in the zero sector

A gapless charge mode induced by the boundary states in the half-filled Hubbard open chain

Fermi gas with attractive potential and spinS=32in a one-dimensional trap: Response functions for superfluidity and FFLO signatures

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