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Exact Solution of the One-Dimensional N -Component Bariev Model with a Hard-Core Repulsion under Open Boundary Conditions

Ke San-Min, Rui‐Hong Yue

We analyse the integrable boundary conditions for the one-dimensional N -component generalized Bariev model with a hard-core repulsion. The Bethe ansatz equations and the energy spectrum are obtained in the framework of the nested Bethe ansatz method.

Chinese Physics LettersJan 30, 20061 citation

Integrable one-dimensional heavy fermion lattice model

P. Schlottmann

Nuclear Physics BAug 1, 19987 citations

New soluble model of interacting fermions in one-dimension

Seth Grable, Noah Kamm, Harsh Mathur

Bulletin of the American Physical SocietyMar 16, 20210 citations

Strongly interacting Luttinger-liquid state in the integrable model of spinless fermions

Igor N. Karnaukhov

A family of spinless fermion models with a hard core potential is formulated and solved by the Bethe ansatz method in one dimension for an arbitrary core radius. The Hamiltonian has two levels of strong interaction: the repulsive hard core potential and the kinetic energy with hopping integrals, values of which depend on the configuration of the particles. The Fermi velocity and the critical exponents describing the asymptotic behavior of the correlation functions at long distances have been calculated numerically for an arbitrary density of electrons and hard core radius. We discuss the effect of the hard core potential. The hard core potential defines an anomalous behavior of the critical exponent \ensuremath{\Theta} of the momentum distribution function. In the high-electron-density region the long-distance behavior is described by a strongly interacting Luttinger-liquid state with \ensuremath{\Theta}>1 and the residual Fermi surface disappears.A family of spinless fermion models with a hard core potential is formulated and solved by the Bethe ansatz method in one dimension for an arbitrary core radius. The Hamiltonian has two levels of strong interaction: the repulsive hard core potential and the kinetic energy with hopping integrals, values of which depend on the configuration of the particles. The Fermi velocity and the critical exponents describing the asymptotic behavior of the correlation functions at long distances have been calculated numerically for an arbitrary density of electrons and hard core radius. We discuss the effect of the hard core potential. The hard core potential defines an anomalous behavior of the critical exponent \ensuremath{\Theta} of the momentum distribution function. In the high-electron-density region the long-distance behavior is described by a strongly interacting Luttinger-liquid state with \ensuremath{\Theta}>1 and the residual Fermi surface disappears.

Physical review. B, Condensed matterJan 3, 20013 citations

Exact solution of the Bariev model for correlated hopping with hard-core repulsion

Rui‐Hong Yue, P. Schlottmann

We present the exact solution of a generalized Bariev model for correlated hopping with a finite-range hard-core repulsion in one dimension. The Bethe ansatz equations and the thermodynamics are derived and analyzed for repulsive and attractive potential. The ground state, the low-energy excitations, the high-temperature limit, and the weak- and strong-coupling limits are discussed as functions of the range of the hard-core exclusion and the density of electrons.

Physical review. B, Condensed matterAug 19, 20028 citations

Exact solution of the one-dimensional fermionic model with correlated hopping

Andreas Schadschneider, Gang Su, J. Zittartz

Zeitschrift für Physik B Condensed MatterDec 1, 19975 citations

Integrable one-dimensional N-component fermion model with correlated hopping and hard-core repulsion

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Integrable one-dimensional N-component fermion model with correlated hopping and hard-core repulsion

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