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 …

Quantum spin liquids: a review

L Savary, L Balents - Reports on Progress in Physics, 2016 - iopscience.iop.org
Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

Dirac materials

TO Wehling, AM Black-Schaffer… - Advances in Physics, 2014 - Taylor & Francis
A wide range of materials, like d-wave superconductors, graphene, and topological
insulators, share a fundamental similarity: their low-energy fermionic excitations behave as …

Machine learning quantum phases of matter beyond the fermion sign problem

P Broecker, J Carrasquilla, RG Melko, S Trebst - Scientific reports, 2017 - nature.com
State-of-the-art machine learning techniques promise to become a powerful tool in statistical
mechanics via their capacity to distinguish different phases of matter in an automated way …

Quantum critical points and the sign problem

R Mondaini, S Tarat, RT Scalettar - Science, 2022 - science.org
The “sign problem”(SP) is a fundamental limitation to simulations of strongly correlated
matter. It is often argued that the SP is not intrinsic to the physics of particular Hamiltonians …

Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice

L Tarruell, D Greif, T Uehlinger, G Jotzu, T Esslinger - Nature, 2012 - nature.com
Dirac points are central to many phenomena in condensed-matter physics, from massless
electrons in graphene to the emergence of conducting edge states in topological insulators …

Dirac Fermions in Solids: From High-T c Cuprates and Graphene to Topological Insulators and Weyl Semimetals

O Vafek, A Vishwanath - Annu. Rev. Condens. Matter Phys., 2014 - annualreviews.org
Understanding Dirac-like fermions has become an imperative in modern condensed matter
sciences: All across the research frontier, from graphene to high T c superconductors to the …

Kitaev interactions in the Co honeycomb antiferromagnets and

M Songvilay, J Robert, S Petit, JA Rodriguez-Rivera… - Physical Review B, 2020 - APS
Co 2+ ions in an octahedral crystal field stabilize aj eff= 1/2 ground state with an orbital
degree of freedom and have been recently put forward for realizing Kitaev interactions, a …

Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet

S Yan, DA Huse, SR White - Science, 2011 - science.org
We use the density matrix renormalization group to perform accurate calculations of the
ground state of the nearest-neighbor quantum spin S= 1/2 Heisenberg antiferromagnet on …

Electron-electron interactions in graphene: Current status and perspectives

VN Kotov, B Uchoa, VM Pereira, F Guinea… - Reviews of modern …, 2012 - APS
The problem of electron-electron interactions in graphene is reviewed. Starting from the
screening of long-range interactions in these systems, the existence of an emerging Dirac …