Pseudo-fermion functional renormalization group for spin models

T Müller, D Kiese, N Niggemann… - Reports on Progress …, 2024 - iopscience.iop.org
For decades, frustrated quantum magnets have been a seed for scientific progress and
innovation in condensed matter. As much as the numerical tools for low-dimensional …

Nematicity with a twist: Rotational symmetry breaking in a moiré superlattice

RM Fernandes, JWF Venderbos - Science Advances, 2020 - science.org
Motivated by recent reports of nematic order in twisted bilayer graphene (TBG), we
investigate the impact of the triangular moiré superlattice degrees of freedom on nematicity …

Pinch-points to half-moons and up in the stars: The kagome skymap

D Kiese, F Ferrari, N Astrakhantsev, N Niggemann… - Physical Review …, 2023 - APS
Pinch point singularities, associated with flat band magnetic excitations, are tell-tale
signatures of Coulomb spin liquids. While their properties in the presence of quantum …

Valley magnetism, nematicity, and density wave orders in twisted bilayer graphene

DV Chichinadze, L Classen, AV Chubukov - Physical Review B, 2020 - APS
We analyze density wave and Pomeranchuk orders in twisted bilayer graphene. This
complements our earlier analysis of the pairing instabilities. We assume that near half filling …

Dimerization tendencies of the pyrochlore Heisenberg antiferromagnet: A functional renormalization group perspective

M Hering, V Noculak, F Ferrari, Y Iqbal, J Reuther - Physical Review B, 2022 - APS
We investigate the ground-state properties of the spin-1/2 pyrochlore Heisenberg
antiferromagnet using pseudofermion functional renormalization group techniques. The first …

Pseudofermion functional renormalization group study of dipolar-octupolar pyrochlore magnets

LE Chern, F Desrochers, YB Kim, C Castelnovo - Physical Review B, 2024 - APS
Motivated by recent experiments on Ce 2 Zr 2 O 7 that reveal a dynamic, liquidlike ground
state, we study the nearest-neighbor XYZ Hamiltonian of dipolar-octupolar pyrochlore …

Multiloop functional renormalization group approach to quantum spin systems

D Kiese, T Müller, Y Iqbal, R Thomale, S Trebst - Physical Review Research, 2022 - APS
Renormalization group methods are well-established tools for the (numerical) investigation
of the low-energy properties of correlated quantum many-body systems, allowing us to …

Frustrated quantum spins at finite temperature: Pseudo-Majorana functional renormalization group approach

N Niggemann, B Sbierski, J Reuther - Physical Review B, 2021 - APS
The pseudofermion functional renormalization group (PFFRG) method has proven to be a
powerful numerical approach to treat frustrated quantum spin systems. In its usual …

Ground-state phase diagram of spin- Kitaev-Heisenberg models

K Fukui, Y Kato, J Nasu, Y Motome - Physical Review B, 2022 - APS
The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally
conceived for spin S= 1/2 moments on a honeycomb lattice. In recent years, the model has …

Functional renormalization group study of the Kitaev- model on the honeycomb lattice and emergent incommensurate magnetic correlations

FL Buessen, YB Kim - Physical Review B, 2021 - APS
The theoretical inception of the Kitaev honeycomb model has had defining influence on the
experimental hunt for quantum spin liquids, bringing unprecedented focus onto the …