756 research outputs found
Impenetrable SU(N) fermions in one-dimensional lattices
We study SU(N) fermions in the limit of infinite on-site repulsion between
all species. We focus on states in which every pair of consecutive fermions
carries a different spin flavor. Since the particle order cannot be changed
(because of the infinite on-site repulsion) and contiguous fermions have a
different spin flavor, we refer to the corresponding constrained model as the
model of distinguishable quantum particles. We introduce an exact numerical
method to calculate equilibrium one-body correlations of distinguishable
quantum particles based on a mapping onto noninteracting spinless fermions. In
contrast to most many-body systems in one dimension, which usually exhibit
either power-law or exponential decay of off-diagonal one-body correlations
with distance, distinguishable quantum particles exhibit a Gaussian decay of
one-body correlations in the ground state, while finite-temperature
correlations are well described by stretched exponential decay.Comment: 13 pages, 13 figure
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