Universität zu Köln

Gneist, Nico, Classen, Laura and Scherer, Michael M. (2022). Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moir? materials. Phys. Rev. B, 106 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

A simple yet paradigmatic model for the interplay of strong electronic correlations and geometric frustration is the triangular lattice Hubbard model. Recently it was proposed that moire structures of transition metal dichalcogenides can be used to simulate extended versions that include nonlocal density-density interactions. We study competing instabilities of interacting electrons in such an extended Hubbard model on the triangular lattice near a filling where the density of states has a Van Hove singularity. We employ a truncated-unity functional renormalization group approach to investigate two cases: a paradigmatic minimally extended Hubbard model and a specific model with parameters that are applicable to heterobilayers of transition metal dichalcogenides. We unravel rich phase diagrams, including tendencies to spin-density-wave order and unconventional pairing, which can give rise to topological superconductivity. We classify the symmetry of the superconducting instabilities according to their irreducible representations and show that higher lattice harmonics are dominant when the nearest-neighbor interaction is sizable indicating pair formation between second-nearest neighbors. The phenomenological consequences can be enhanced spin and thermal quantum Hall responses in a topological superconductor.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gneist, Nico UNSPECIFIED UNSPECIFIED UNSPECIFIED Classen, Laura UNSPECIFIED UNSPECIFIED UNSPECIFIED Scherer, Michael M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-672980
DOI:	10.1103/PhysRevB.106.125141
Journal or Publication Title:	Phys. Rev. B
Volume:	106
Number:	12
Date:	2022
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language MAGIC-ANGLE; SUPERCONDUCTIVITY; STATES; MOTT Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/67298