Topological strongly correlated phases in orthorhombic diamond lattice compounds

Fuente: arXiv
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Autores principales: Luaces, Javier Castro, López, Manuel Fernández, Bravo-Abad, Jorge, Merino, Jaime
Formato: Preprint
Publicado: 2024
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author Luaces, Javier Castro
López, Manuel Fernández
Bravo-Abad, Jorge
Merino, Jaime
author_facet Luaces, Javier Castro
López, Manuel Fernández
Bravo-Abad, Jorge
Merino, Jaime
contents We explore the Mott transition in orthorhombic diamond lattices relevant to (ET)Ag$_4$(CN)$_5$ molecular compounds. The non-interacting phases include nodal line, Dirac and/or Weyl semimetals depending on the strength of spin-orbit coupling and the degree of dimerization of the lattice. Based on an extension of slave-rotor mean-field theory which accounts for magnetic order, we find a transition from a semimetal to a paramagnetic Mott insulator at a critical $U_c$ which becomes Néel ordered at a larger Coulomb repulsion, $U_{cm}>U_{c}$. The resulting intermediate Mott phase is a $U(1)$ quantum spin liquid (QSL) consisting on spinon preserving the nodal structure of the nearby semimetallic phases. An analysis of the Green's function in this Mott phase shows how the zeros follow the spinon band dispersions carrying the topology while the poles describe the Hubbard bands. Our results are relevant to recent observations in (ET)Ag$_4$(CN)$_5$ molecular compounds in which the ambient pressure Néel ordered Mott insulator is gradually suppressed until semimetallic behavior arises at larger pressures.
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id arxiv_https___arxiv_org_abs_2412_15812
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Topological strongly correlated phases in orthorhombic diamond lattice compounds
Luaces, Javier Castro
López, Manuel Fernández
Bravo-Abad, Jorge
Merino, Jaime
Strongly Correlated Electrons
We explore the Mott transition in orthorhombic diamond lattices relevant to (ET)Ag$_4$(CN)$_5$ molecular compounds. The non-interacting phases include nodal line, Dirac and/or Weyl semimetals depending on the strength of spin-orbit coupling and the degree of dimerization of the lattice. Based on an extension of slave-rotor mean-field theory which accounts for magnetic order, we find a transition from a semimetal to a paramagnetic Mott insulator at a critical $U_c$ which becomes Néel ordered at a larger Coulomb repulsion, $U_{cm}>U_{c}$. The resulting intermediate Mott phase is a $U(1)$ quantum spin liquid (QSL) consisting on spinon preserving the nodal structure of the nearby semimetallic phases. An analysis of the Green's function in this Mott phase shows how the zeros follow the spinon band dispersions carrying the topology while the poles describe the Hubbard bands. Our results are relevant to recent observations in (ET)Ag$_4$(CN)$_5$ molecular compounds in which the ambient pressure Néel ordered Mott insulator is gradually suppressed until semimetallic behavior arises at larger pressures.
title Topological strongly correlated phases in orthorhombic diamond lattice compounds
topic Strongly Correlated Electrons
url https://arxiv.org/abs/2412.15812