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Quantum frustrated Wigner chains

delete2024-10-09
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OA
AI
R
Raphaël Menu *
J
Jorge Yago Malo
V
Vladan Vuletić
M
Maria Luisa Chiofalo
G
Giovanna Morigi
DOI:10.1103/PhysRevB.110.155121delete
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Abstract

Abstract

En 中文
A Wigner chain in a periodic potential is a paradigmatic example of geometric frustration with long-range interactions. The dynamics emulates the Frenkel-Kontorova model with Coulomb interactions. In the continuum approximation, dislocations are sine-Gordon solitons with power-law decaying tails. We show that their action is mapped into a massive, long-range (1+1) + 1) Thirring model, in which the solitons are charged fermionic excitations over an effective Dirac sea. We identify the corresponding mean-field theory and show that the Coulomb interactions destabilize structures commensurate with the periodic substrate, suppressing their onset and giving rise to interaction-induced lubrication. Our study identifies the role of long-range interactions on determining nanofriction. Our predictions can be probed in state-of-the-art trapped ion experiments.
Keywords:
FRENKEL-KONTOROVA MODEL
DIMENSIONAL ISING-MODEL
LONG-RANGE INTERACTIONS
FRICTION
CRYSTAL
PHASES
ATOM

Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

S
Saarland University
Scholars:
8.7K
Papers: 6.8K
Citations: 1.3W
U
University of Pisa
Scholars:
3.1W
Papers: 2.4W
Citations: 2.4W