Finite-temperature investigation of quarter filled ladder systems
C. Gabriel, E. Sherman, T. C. Lang, M. Aichhorn, and H. G. Evertz

TL;DR
This study uses determinantal Quantum Monte Carlo to explore charge ordering in quarter-filled ladder systems at finite temperature, revealing a crossover behavior, exponential correlation length growth, and a single-particle gap.
Contribution
It provides the first finite-temperature analysis of charge order in quarter-filled ladders, highlighting the role of Coulomb repulsion and temperature effects.
Findings
Charge order parameter shows a crossover with temperature.
Correlation length grows exponentially with inverse temperature.
A single-particle gap is observed at high Coulomb repulsion.
Abstract
We investigate charge ordering in a quarter-filled ladder at finite temperature by determinantal Quantum Monte Carlo. The sign problem is moderate in a wide range of model parameters relevant for NaV2O5. The charge order parameter exhibits a crossover as a function of inverse temperature on finite systems. Above a critical nearest neighbor Coulomb repulsion, the correlation length grows exponentially with inverse temperature, indicative of the ordered phase at T=0. We find a clear single-particle gap manifesting itself in a flat n(\mu) dependence at large nearest neighbor Coulomb repulsion.
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