On the ground states of the one-dimensional Falicov-Kimball model.

DOI10.1016/S0021-7824(03)00037-0zbMath1097.82007MaRDI QIDQ1408899

Salvador Miracle-Sole

Publication date: 25 September 2003

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

Falicov-Kimball modeldevil's staircasePhase separation

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Cites Work

• An itinerant electron model with crystalline or magnetic long range order
• SOME RIGOROUS RESULTS ON THE GROUND STATES OF THE FALICOV-KIMBALL MODEL
• LONG RANGE ORDER IN THE FALICOV-KIMBALL MODEL: EXTENSION OF KENNEDY–LIEB THEOREM
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