# Phase transitions in the one-dimensional pair-hopping model: A renormalization-group study.

@article{Sikkema1995PhaseTI, title={Phase transitions in the one-dimensional pair-hopping model: A renormalization-group study.}, author={Sikkema and Affleck}, journal={Physical review. B, Condensed matter}, year={1995}, volume={52 14}, pages={ 10207-10213 } }

The phase diagram of a one-dimensional tight-binding model with a pair-hopping term (amplitude V) has been the subject of some controversy. Using two-loop renormalization-group equations and the density matrix renormalization group with lengths L\ensuremath{\le}60, we argue that no spin-gap transition occurs at half-filling for positive V, contrary to recent claims. However, we point out that away from half-filling, a phase-separation transition occurs at finite V. This transition and the spin…

## 13 Citations

Phase transition in the one-dimensional pair-hopping model with unusual one-electron hopping

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Abstract By modifying the conventional one-electron hopping behavior, we study effects of an occupation-dependent hopping on the ground state of the half-filled one-dimensional pair-hopping model. At…

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The one-dimensional half-filled correlated electron system with on-site (U), nearest-neighbor (V) and pair hopping (Y) repulsions is studied analytically at weak coupling, combined the Abelian…

Ground State Phase Diagram of the Extended Hubbard Model with Pair-Hopping Interaction in the Limit of Very Narrow Bandwidth

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The extended Hubbard model with the pair-hopping interaction, i.e. the Penson–Kolb–Hubbard model, is one of the conceptually simplest phenomenological models for studying correlations and for…

Superconductivity of the Two-Dimensional Penson--Kolb Model

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Two-dimensional (d = 2) Penson-Kolb model, i.e. the tight-binding model with the pair-hopping (intersite charge exchange) interaction, is considered and the effects of phase fluctuations on the…

Investigation of a four-body coupling in the one-dimensional extended Penson–Kolb–Hubbard model

- Physics
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Abstract The experimental advances in cold fermion gases motivates the investigation of a one-dimensional (1D) correlated electronic system by incorporating a four-body coupling. Using the low-energy…

Bond-located ordering in the one-dimensional Penson - Kolb - Hubbard model

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In this paper we study the ground-state phase diagram of the one-dimensional half-filled repulsive (U > 0) Hubbard model supplemented with the pair-hopping interaction (W) (the Penson - Kolb -…

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We determine the propagation properties of a quantum particle in a d-dimensional lattice with hopping disorder, delta correlated in time. The system is delocalized: the averaged transition…

Effect of Fibonacci modulation on superconductivity.

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Finite-sized single band models with short-range pairing interactions between electrons in the presence of diagonal Fibonacci modulation in one dimension and the dissimilarity of the pairing mechanisms brings about notable differences in the results are studied.

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Abstract.In this paper we study the ground state phase diagram of a one-dimensional t-U-J model, at half-filling. In the large-bandwidth limit and for ferromagnetic exchange with easy-plane…

Phase Diagrams and Electromagnetic Propertiesof s–wave Superconductivity of the Extended Hubbard Model with the Attractive Pair–Hopping Interaction

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The characteristics of the extended Hubbard model with the pair–hopping interaction J, i.e. the Penson–Kolb–Hubbard model, are analysed for the case of attractive J (J > 0). The effects of on–site U…