A complete devil's staircase in the Falicov-Kimball model
C. Micheletti, A. B. Harris, J. M. Yeomans
TL;DR
This paper demonstrates that the ground state of the one-dimensional Falicov-Kimball model at zero temperature forms a complete devil's staircase, revealing complex ordering patterns in the large U limit.
Contribution
It provides a rigorous analysis of the ground state structure, deriving the full devil's staircase behavior through leading-order calculations of ion interactions.
Findings
Ground state exhibits a complete devil's staircase pattern.
Derived the leading order n-ion interaction terms.
Confirmed the complex ordering in the large U limit.
Abstract
We consider the neutral, one-dimensional Falicov-Kimball model at zero temperature in the limit of a large electron--ion attractive potential, U. By calculating the general n-ion interaction terms to leading order in 1/U we argue that the ground-state of the model exhibits the behavior of a complete devil's staircase.
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