### Abstract

We study the phase diagram of the tight-binding model for an electron on an anisotropic square lattice with a four-dimensional parameter space defined by two nearest-neighbour and two next-nearest-neighbour couplings. Using a renormalization scheme, we show that the inequality of the two next-nearest-neighbour couplings destroys the fat critical regime found in the isotropic case above the bicritical line and replaces it with another re-entrant extended phase. The scaling properties of the model are those of the corresponding tight-binding models on the nearest-neighbour square and triangular lattices. The triangular universality class also describes the quantum Ising chain in a transverse field with the only exception being the conformally invariant state of the Ising model which has no analogue in the triangular-lattice case.

Original language | English |
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Pages (from-to) | 1123-1132 |

Number of pages | 10 |

Journal | Journal of Physics Condensed Matter |

Volume | 9 |

Issue number | 5 |

DOIs | |

Publication status | Published - 3 Feb 1997 |

MoE publication type | Not Eligible |

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## Cite this

*Journal of Physics Condensed Matter*,

*9*(5), 1123-1132. https://doi.org/10.1088/0953-8984/9/5/016