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Quantum melting on a lattice and a delocalization transition

E. V. Tsiper·F. G. Pikus·A. L. Efros
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Abstract

We consider 2d gas of spinless fermions with the Coulomb interaction on a lattice at T=0 and at different values of the hopping amplitude J. At small J electrons form a periodic structure. At filling factor ν=1/6 this structure melts at J as low as 0.02--0.03 in units of the nearest-neighbor Coulomb energy. We argue that this transition is connected to the dielectric-metal and dielectric-superconductor transitions. To demonstrate this point we perform computer modeling of the systems 6x6 with 6 and 7 electrons and 6x12 with 12 electrons. By sweeping J we compute simultaneously persistent current and structural characteristics of the electron distribution.

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E. V. Tsiper, F. G. Pikus, A. L. Efros. 1996-03-07. Quantum melting on a lattice and a delocalization transition. https://arxiv.org/abs/cond-mat/9512150

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