Superconductivity of repulsive spinless fermions with sublattice potentials

Fuente: arXiv
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Autori principali: He, Yuchi, Yang, Kang, Profe, Jonas B., Bergholtz, Emil J., Kennes, Dante M.
Natura: Preprint
Pubblicazione: 2022
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author He, Yuchi
Yang, Kang
Profe, Jonas B.
Bergholtz, Emil J.
Kennes, Dante M.
author_facet He, Yuchi
Yang, Kang
Profe, Jonas B.
Bergholtz, Emil J.
Kennes, Dante M.
contents We explore unconventional superconductivity of repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two lattices can exhibit staggered $d$-wave and $f$-wave pairing, respectively, at low doping stemming from an effective two-valley band structure. At higher doping, in particular, the square lattice displays a much richer phase diagram including topological $p+ip$ superconductivity which is induced by a qualitatively different mechanism compared to the $d$-wave pairing. We illuminate this from several complementary perspectives: We analytically perform sublattice projection to analyze the effective continuum low-energy description and we numerically calculate the binding energies for pair and larger bound states for few-body doping near half filling. Furthermore, for finite doping, we present phase diagrams based on extensive functional renormalization group and and density matrix renormalization group calculations.
format Preprint
id arxiv_https___arxiv_org_abs_2208_02830
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Superconductivity of repulsive spinless fermions with sublattice potentials
He, Yuchi
Yang, Kang
Profe, Jonas B.
Bergholtz, Emil J.
Kennes, Dante M.
Superconductivity
Strongly Correlated Electrons
We explore unconventional superconductivity of repulsive spinless fermions on square and honeycomb lattices with staggered sublattice potentials. The two lattices can exhibit staggered $d$-wave and $f$-wave pairing, respectively, at low doping stemming from an effective two-valley band structure. At higher doping, in particular, the square lattice displays a much richer phase diagram including topological $p+ip$ superconductivity which is induced by a qualitatively different mechanism compared to the $d$-wave pairing. We illuminate this from several complementary perspectives: We analytically perform sublattice projection to analyze the effective continuum low-energy description and we numerically calculate the binding energies for pair and larger bound states for few-body doping near half filling. Furthermore, for finite doping, we present phase diagrams based on extensive functional renormalization group and and density matrix renormalization group calculations.
title Superconductivity of repulsive spinless fermions with sublattice potentials
topic Superconductivity
Strongly Correlated Electrons
url https://arxiv.org/abs/2208.02830