The hubbard model

DP Arovas, E Berg, SA Kivelson… - Annual review of …, 2022 - annualreviews.org
The repulsive Hubbard model has been immensely useful in understanding strongly
correlated electron systems and serves as the paradigmatic model of the field. Despite its …

Experimental signatures of quantum and topological states in frustrated magnetism

J Khatua, B Sana, A Zorko, M Gomilšek, K Sethupathi… - Physics Reports, 2023 - Elsevier
Frustration in magnetic materials arising from competing exchange interactions can prevent
the system from adopting long-range magnetic order and can instead lead to a diverse …

Long-lived phantom helix states in Heisenberg quantum magnets

PN Jepsen, YKE Lee, H Lin, I Dimitrova, Y Margalit… - Nature Physics, 2022 - nature.com
Exact solutions for quantum many-body systems are rare but provide valuable insights for
the description of universal phenomena such as the non-equilibrium dynamics of strongly …

Exact three-colored quantum scars from geometric frustration

K Lee, R Melendrez, A Pal, HJ Changlani - Physical Review B, 2020 - APS
Nonequilibrium properties of quantum materials present many intriguing properties, among
them athermal behavior, which violates the eigenstate thermalization hypothesis. Such …

kagome Heisenberg antiferromagnet revisited

AM Läuchli, J Sudan, R Moessner - Physical Review B, 2019 - APS
We examine the perennial quantum spin liquid candidate S= 1 2 Heisenberg
antiferromagnet on the kagome lattice. Our paper is based on achieving Lanczos …

Computational inverse method for constructing spaces of quantum models from wave functions

E Chertkov, BK Clark - Physical Review X, 2018 - APS
Traditional computational methods for studying quantum many-body systems are “forward
methods,” which take quantum models, ie, Hamiltonians, as input and produce ground …

Frustration-induced emergent Hilbert space fragmentation

K Lee, A Pal, HJ Changlani - Physical Review B, 2021 - APS
Although most quantum systems thermalize locally on short timescales independent of initial
conditions, recent developments have shown this is not always the case. Lattice geometry …

Learning ground states of quantum hamiltonians with graph networks

D Kochkov, T Pfaff, A Sanchez-Gonzalez… - arXiv preprint arXiv …, 2021 - arxiv.org
Solving for the lowest energy eigenstate of the many-body Schrodinger equation is a
cornerstone problem that hinders understanding of a variety of quantum phenomena. The …

Skyrmion fluid and bimeron glass protected by a chiral spin liquid on a kagome lattice

HD Rosales, FAG Albarracín, P Pujol, LDC Jaubert - Physical Review Letters, 2023 - APS
Skyrmions are of interest both from a fundamental and technological point of view, due to
their potential to act as information carriers. But one challenge concerns their manipulation …

Dynamics of topological excitations in a model quantum spin ice

CJ Huang, Y Deng, Y Wan, ZY Meng - Physical review letters, 2018 - APS
We study the quantum spin dynamics of a frustrated XXZ model on a pyrochlore lattice by
using large-scale quantum Monte Carlo simulation and stochastic analytic continuation. In …