52 citations · 129 across the 15 of their papers we have counts for
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Exact results for spatial decay of the one-body density matrix in low-dimensional insulators
Janusz Jedrzejewski, Taras Krokhmalskii
We provide a tight-binding model of insulator, for which we derive an exact analytic form of the one-body density matrix and its large-distance asymptotics in dimensions . T…
Spatial decay of the one-body density matrix in insulators revised
Janusz Jedrzejewski, Taras Krokhmalskii
In the framework of the band theory, we consider two tight-binding models of insulators. The first one, proposed recently by Taraskin et al, is a translationally invariant system,…
Ground-state properties of multicomponent Falicov-Kimball-like models I
Janusz Jedrzejewski, Volodymyr Derzhko
We consider a classical lattice gas that consists of more than one "species" of particles (like a spin-3/2 Ising model or the atomic limit of the extended Hubbard model), whose gro…
Devil's staircase for a nonconvex interaction
Janusz Jedrzejewski, Jacek Miekisz
We study ground-state orderings of particles in classical lattice-gas models of adsorption on crystal surfaces. In the considered models, the energy of adsorbed particles is a sum…
Ground states of lattice gases with ``almost'' convex repulsive interactions
Janusz Jedrzejewski, Jacek Miekisz
To our best knowledge there is only one example of a lattice system with long-range two-body interactions whose ground states have been determined exactly: the one-dimensional latt…