Ground state of a partially melted Wigner molecule

Details Ground state of a partially melted Wigner molecule Ground state of a partially melted Wigner molecule

2002-03-22

arxiv.org/abs/cond-mat/0203477v1

Europhys. Lett., 58 (5), pp. 744-750 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

to appear in Europhysics Letters

Scientific paper

10.1209/epl/i2002-00412-2

We consider three spinless fermions free to move on 2d square lattice with periodic boundary conditions and interacting via a U/r Coulomb repulsion. When the Coulomb energy to kinetic energy ratio r_s is large, a rigid Wigner molecule is formed. As r_s decreases, we show that melting proceeds via an intermediate regime where a floppy two particle molecule coexists with a partially delocalized particle. A simple ansatz is given to describe the ground state of this mesoscopic solid-liquid regime.

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