Excitations with complex wavenumbers in a Hubbard chain. II. States with several pairs of complex wavenumbers

Woynarovich, F.

doi:10.1088/0022-3719/15/1/008

Cited by 68 publications

(80 citation statements)

References 2 publications

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“…If as discussed in Section III one assumes that the hole concentration x h above which the Fermi line is particle like obeys the inequality x c2 ≤ x h < x * (rather than x h ≥ x * ), for the hole-concentration range x h < x < x * for which the Fermi line is particle like that the range of φ that the expression G s1 ( q Bs1 ) = | sin 2φ| refers to is given in Eq. (37) so that the minimum magnitude of G s1 ( q Bs1 ) rather than vanishing reads G s1 ( q Bs1 ) ≈ 2φ AN where φ AN (x) is small. Such a minimum magnitude is reached at φ = φ AN and φ = π/2 − φ AN instead of at φ = 0 and φ = π/2, respectively.…”

Section: A the C And S1 Fermion Velocitiesmentioning

confidence: 99%

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The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions

Carmelo

2010

Nuclear Physics B

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The momentum bands, energy dispersions, and velocities of the charge c fermions and spin-neutral two-spinon s1 fermions of a square-lattice quantum liquid referring to the Hubbard model on such a lattice of edge length L in the one-and two-electron subspace are studied. The model involves the effective nearest-neighbor integral t and on-site repulsion U and can be experimentally realized in systems of correlated ultra-cold fermionic atoms on an optical lattice and thus our results are of interest for such systems. Our investigations profit from a general rotated-electron description, which is consistent with the model global SO(3)×SO(3)×U (1) symmetry. For the model in the oneand two-electron subspace the discrete momentum values of the c and s1 fermions are good quantum numbers so that in contrast to the original strongly-correlated electronic problem their interactions are residual. The use of our description renders an involved many-electron problem into a quantum liquid with some similarities with a Fermi liquid. For the Hubbard model on a square lattice in the one-and two-electron subspace a composite s1 fermion consists of a spin-singlet spinon pair plus an infinitely thin flux tube attached to it. In the U/4t → ∞ limit of infinite on-site interaction the c fermions become non-interacting spinless fermions and the s1 fermion occupancy configurations that generate the spin degrees of freedom of spin-density m = 0 ground states become within a suitable mean-field approximation for the fictitious magnetic field Bs1 ex 3 brought about by the correlations of the original N electron problem those of a full lowest Landau level with N/2 degenerate one-s1 fermion states of the two-dimensional quantum Hall effect. In turn, for U/4t finite the degeneracy of the N/2 one-s1-fermion states is removed by the emergence of a finite-energy-bandwidth s1 fermion dispersion yet the number of s1 band discrete momentum values remains being given by Bs1 L 2 /Φ0 and the s1 effective lattice spacing by as1 = ls1/ √ 2π where ls1 is the fictitious-magnetic-field length and in our units the fictitious-magnetic-field flux quantum reads Φ0 = 1. Elsewhere it is found that the use of the square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions investigated here contributes to the further understanding of the role of electronic correlations in the unusual properties of the hole-doped cuprate superconductors. This indicates that quantum-Hall-type behavior with or without magnetic field may be ubiquitous in nature.

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Section: A the C And S1 Fermion Velocitiesmentioning

confidence: 99%

“…(121) belongs to the ranges given in Eq. (37). (The angle φ AN appearing in such ranges vanishes for x ≤ x h and is small for x ∈ (x h , x * ).…”

Section: A the C And S1 Fermion Velocitiesmentioning

confidence: 99%

The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions

Carmelo

2010

Nuclear Physics B

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“…While the decoupling exists also in the weak-coupling limit, 1 it is perhaps best understood for the strong-coupling limit of the Hubbard model, where the Bethe ansatz solution tells us that the wave functions are factorized into a part describing free spinless fermions representing the charges and a part representing the spins. 2 This allowed the calculation of the dynamical spectral functions of the Hubbard model at 3 and away 4 from half filling with excellent resolution. These calculations provided an explanation of the origin of the different features in the spectral function.…”

Section: Introductionmentioning

confidence: 99%

Dynamical correlations in one-dimensional charge-transfer insulators

Penc

Stephan

2000

Phys. Rev. B

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The single-particle spectral function and the density response of a two band Emery model for CuO chains is calculated for large on-site Cu repulsion U and large on-site energy difference \Delta. For U>>U-\Delta>>t the eigenfunctions are products of charge and spin parts, which allows analytical calculation of spectral functions in that limit. For other parameters numerical diagonalization is used. The low energy hole carriers are shown to be the one-dimensional analogs of the Zhang-Rice singlets. The validity of the one-band model is discussed. The results are relevant to the interpretation of photoemission and EELS experiments on SrCuO2 and Sr2CuO3 .Comment: 9 pages, 5 figures, to appear in Phys Rev

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“…For the excited state, however, the λ and µ rapidity can be complex roots [17,18] which always from a "bound state" with several other λs. This arises from the consistency of both hand sides of the Bethe-ansatz equations [19] in the limit…”

Section: Thermodynamics At Finite Temperaturementioning

confidence: 99%

One-dimensionalSU(3) bosons with -function interaction

Ying

2003

J. Phys. A: Math. Gen.

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In this paper we solve one dimensional SU(3) bosons with repulsive δ-function interaction by means of Bethe ansatz method. The features of ground state and low-lying excited states are studied by both numerical and analytic methods. We show that the ground state is a SU(3) color ferromagnetic state. The configurations of quantum numbers for the ground state are given explicitly.For finite N system the spectra of low-lying excitations and the dispersion relations of four possible elementary particles (holon, antiholon, σ-coloron and ω-coloron) are obtained by solving Bethe-ansatz equation numerically. The thermodynamic equilibrium of the system at finite temperature is studied by using the strategy of thermodynamic Bethe ansatz, a revised GaudinTakahashi equation which is useful for numerical method are given . The thermodynamic quantities, such as specific heat, are obtain for some special cases. We find that the magnetic property of the model in high temperature regime is dominated by Curie's law: χ ∝ 1/T and the system has Fermi-liquid like specific heat in the strong coupling limit at low temperature.

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Excitations with complex wavenumbers in a Hubbard chain. II. States with several pairs of complex wavenumbers

Cited by 68 publications

References 2 publications

The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions

The square-lattice quantum liquid of charge c fermions and spin-neutral two-spinon s1 fermions

Dynamical correlations in one-dimensional charge-transfer insulators

One-dimensionalSU(3) bosons with -function interaction

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