Quantum phase transition in a random-tiling model

Details Quantum phase transition in a random-tiling model Quantum phase transition in a random-tiling model

2000-05-10

arxiv.org/abs/cond-mat/0005170v1

Fizika A (Zagreb) 8 (1999) 4, 311--318

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 2 figures, appeared in a `festschrift' issue of Fizika A

Scientific paper

The analogue of a Mott-Hubbard transition is discussed, which appears at an incommensurate filling in a model of a two-dimensional plane, randomly tiled with CuO_4 `molecules', simulating the copper-oxide planes of high-T_c superconductors. It is shown to be a quantum phase transition, which can be crossed either in doping, at a fixed hopping overlap t, or in t, when the doping is fixed in a certain range below half-filling. It is first-order, closely analogous to a liquid-gas transition.

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