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 …

Real-frequency quantum field theory applied to the single-impurity Anderson model

A Ge, N Ritz, E Walter, S Aguirre, J von Delft, FB Kugler - Physical Review B, 2024 - APS
A major challenge in the field of correlated electrons is the computation of dynamical
correlation functions. For comparisons with experiment, one is interested in their real …

Taming pseudofermion functional renormalization for quantum spins: Finite temperatures and the Popov-Fedotov trick

B Schneider, D Kiese, B Sbierski - Physical Review B, 2022 - APS
The pseudofermion representation for S= 1/2 quantum spins introduces unphysical states in
the Hilbert space, which can be projected out using the Popov-Fedotov trick. However, state …

Feynman diagrammatics based on discrete pole representations: A path to renormalized perturbation theories

D Gazizova, L Zhang, E Gull, JPF LeBlanc - Physical Review B, 2024 - APS
By merging algorithmic Matsubara integration with discrete pole representations we present
a procedure to generate fully analytic closed form results for impurity problems at fixed …

Classical and quantum phases of the pyrochlore magnet with Heisenberg and Dzyaloshinskii-Moriya interactions

V Noculak, D Lozano-Gómez, J Oitmaa, RRP Singh… - Physical Review B, 2023 - APS
We investigate the ground state and critical temperature (T c) phase diagrams of the
classical and quantum S= 1 2 pyrochlore lattice with nearest-neighbor Heisenberg and …

Spin-functional renormalization group for the quantum Heisenberg model

D Tarasevych, A Rückriegel, S Keupert, V Mitsiioannou… - Physical Review B, 2022 - APS
We use our recently developed functional renormalization group (FRG) approach for
quantum spin systems to investigate the phase diagram of the frustrated J 1 J 2 J 3 quantum …

Pseudo-fermion functional renormalization group with magnetic fields

V Noculak, J Reuther - Physical Review B, 2024 - APS
The pseudo-fermion functional renormalization group is generalized to treat spin
Hamiltonians with finite magnetic fields, enabling its application to arbitrary spin lattice …

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 …

Bilinear Majorana representations for spin operators with spin magnitudes

Y Schaden, J Reuther - Physical Review Research, 2023 - APS
We present a classification of bilinear Majorana representations for spin-S operators, based
on the real irreducible matrix representations of SU (2). We identify two types of such …

Spin functional renormalization group for dimerized quantum spin systems

A Rückriegel, J Arnold, R Goll, P Kopietz - Physical Review B, 2022 - APS
We investigate dimerized quantum spin systems using the spin functional renormalization
group approach proposed by Krieg and Kopietz [Phys. Rev. B 99, 060403 (R)(2019) 2469 …