Broken-symmetry ground states of the heisenberg model on the pyrochlore lattice

N Astrakhantsev, T Westerhout, A Tiwari, K Choo… - Physical Review X, 2021 - APS
The spin-1/2 Heisenberg model on the pyrochlore lattice is an iconic frustrated three-
dimensional spin system with a rich phase diagram. Besides hosting several ordered …

Kitaev-Heisenberg models for iridates on the triangular, hyperkagome, kagome, fcc, and pyrochlore lattices

I Kimchi, A Vishwanath - Physical Review B, 2014 - APS
The Kitaev-Heisenberg (KH) model has been proposed to capture magnetic interactions in
iridate Mott insulators on the honeycomb lattice. We show that analogous interactions arise …

Chemical Design of Spin Frustration to Realize Topological Spin Glasses

SM Amtry, AC Campello, CL Tong… - Journal of the …, 2024 - ACS Publications
Patterning spins to generate collective behavior is at the core of condensed matter physics.
Physicists develop techniques, including the fabrication of magnetic nanostructures and …

Quantum and classical phases of the pyrochlore Heisenberg model with competing interactions

Y Iqbal, T Müller, P Ghosh, MJP Gingras, HO Jeschke… - Physical Review X, 2019 - APS
We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin S
in the presence of nearest-neighbor J 1 and second-nearest-neighbor J 2 exchange …

Magnetic transition and orbital degrees of freedom in vanadium spinels

H Tsunetsugu, Y Motome - Physical Review B, 2003 - APS
We propose a scenario for the two phase transitions in AV 2 O 4 (A= Zn, Mg, Cd), based on
an effective spin-orbital model on the pyrochlore lattice. At high temperatures, spin …

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 …

Possible Inversion Symmetry Breaking in the Pyrochlore Heisenberg Magnet

I Hagymási, R Schäfer, R Moessner, DJ Luitz - Physical Review Letters, 2021 - APS
We address the ground-state properties of the long-standing and much-studied three-
dimensional quantum spin liquid candidate, the S= 1 2 pyrochlore Heisenberg …

Pyrochlore Heisenberg antiferromagnet at finite temperature

R Schäfer, I Hagymási, R Moessner, DJ Luitz - Physical Review B, 2020 - APS
We use a combination of three computational methods to investigate the notoriously difficult
frustrated three-dimensional pyrochlore S= 1 2 quantum antiferromagnet, at finite …

Planar pyrochlore: A valence-bond crystal

JB Fouet, M Mambrini, P Sindzingre, C Lhuillier - Physical Review B, 2003 - APS
Exact diagonalizations of the spin-1/2 Heisenberg model on the checkerboard lattice have
been performed for sizes up to N= 36 in the full Hilbert space and N= 40 in the restricted …

Enhanced symmetry-breaking tendencies in the pyrochlore antiferromagnet

I Hagymási, V Noculak, J Reuther - Physical Review B, 2022 - APS
We investigate the ground-state properties of the nearest-neighbor S= 1 pyrochlore
Heisenberg antiferromagnet using two complementary numerical methods, the density …