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Dipole Crystals in Two‐Dimensional Systems
Author(s) -
OlivaresRobles M.A.,
Ulloa S.E.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200209)233:2<280::aid-pssb280>3.0.co;2-q
Subject(s) - bravais lattice , exciton , dipole , condensed matter physics , lattice plane , hexagonal lattice , lattice constant , lattice (music) , crystal (programming language) , hexagonal crystal system , physics , ground state , crystal structure , chemistry , atomic physics , crystallography , quantum mechanics , diffraction , reciprocal lattice , antiferromagnetism , computer science , acoustics , programming language
Abstract A two‐dimensional (2D) interacting gas of excitons in a system with spatially separated electron–hole layers crystallizes at low densities into a 2D crystal. In this work, we study the properties of such a lattice for a gas of polarized excitons in the classical regime. The dipoles are assumed to be in the xy plane, while being constrained or ‘polarized’ in the z direction. We calculate the ground‐state energy of the 2D dipole crystal, at a constant number density, for all 2D Bravais lattices. We find that, similarly to the case of point charges, the hexagonal lattice has the lowest energy.