Universität zu Köln

Gresista, Lasse ORCID: 0000-0003-0185-7391, Kiese, Dominik ORCID: 0000-0002-9263-8022 and Trebst, Simon ORCID: 0000-0002-1479-9736 (2022). Moments and multiplets in moire materials A pseudo-fermion functional renormalization group for spin-valley models. Eur. Phys. J. B, 95 (7). NEW YORK: SPRINGER. ISSN 1434-6036

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Abstract

The observation of strongly correlated states in moire systems has renewed the conceptual interest in magnetic systems with higher SU(4) spin symmetry, e.g., to describe Mott insulators where the local moments are coupled spin-valley degrees of freedom. Here, we discuss a numerical renormalization group scheme to explore the formation of spin-valley ordered and unconventional spin-valley liquid states at zero temperature based on a pseudo-fermion representation. Our generalization of the conventional pseudo-fermion functional renormalization group approach for su(2) spins is capable of treating diagonal and off-diagonal couplings of generic spin-valley exchange Hamiltonians in the self-conjugate representation of the su(4) algebra. To achieve proper numerical efficiency, we derive a number of symmetry constraints on the flow equations that significantly limit the number of ordinary differential equations to be solved. As an example system, we investigate a diagonal SU(2)(spin) circle times U(1)(valley) model on the triangular lattice which exhibits a rich phase diagram of spin and valley ordered phases.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Gresista, Lasse UNSPECIFIED orcid.org/0000-0003-0185-7391 UNSPECIFIED Kiese, Dominik UNSPECIFIED orcid.org/0000-0002-9263-8022 UNSPECIFIED Trebst, Simon UNSPECIFIED orcid.org/0000-0002-1479-9736 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-656964
DOI:	10.1140/epjb/s10051-022-00373-2
Journal or Publication Title:	Eur. Phys. J. B
Volume:	95
Number:	7
Date:	2022
Publisher:	SPRINGER
Place of Publication:	NEW YORK
ISSN:	1434-6036
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CORRELATED STATES Multiple languages Physics, Condensed Matter Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/65696