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Correlated metallic two-particle bound states in Wannier-Stark flatbands

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Title
Correlated metallic two-particle bound states in Wannier-Stark flatbands
Author(s)
Arindam Mallick; Alexei Andreanov; Sergej Flach
Publication Date
2022-09
Journal
PHYSICAL REVIEW B, v.106, no.12
Publisher
AMER PHYSICAL SOC
Abstract
Tight-binding single-particle models on simple Bravais lattices in space dimension d 2, when exposed to commensurate DC fields, result in the complete absence of transport due to the formation of Wannier-Stark flatbands [Phys. Rev. Res. 3, 013174 (2021)]. The single-particle states localize in a factorial manner, i.e., faster than exponential. Here, we introduce interaction among two such particles that partially lifts the localization and results in metallic two-particle bound states that propagate in the directions perpendicular to the DC field. We demonstrate this effect using a square lattice with Hubbard interaction. We apply perturbation theory in the regime of interaction strength (U) << hopping strength (h) << field strength (F), and obtain estimates for the group velocity of the bound states in the direction perpendicular to the field. The two-particle group velocity scales as U(h/F)v. We calculate the dependence of the exponent von the DC field direction and on the dominant two-particle configurations related to the choices of unperturbed flatbands. Numerical simulations confirm our predictions from the perturbative analysis.
URI
https://pr.ibs.re.kr/handle/8788114/12732
DOI
10.1103/PhysRevB.106.125128
ISSN
2469-9950
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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