The conformal bootstrap: Theory, numerical techniques, and applications

D Poland, S Rychkov, A Vichi - Reviews of Modern Physics, 2019 - APS
Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

Weyl and Dirac semimetals in three-dimensional solids

NP Armitage, EJ Mele, A Vishwanath - Reviews of Modern Physics, 2018 - APS
Weyl and Dirac semimetals are three-dimensional phases of matter with gapless electronic
excitations that are protected by topology and symmetry. As three-dimensional analogs of …

Topological quantum matter with cold atoms

DW Zhang, YQ Zhu, YX Zhao, H Yan… - Advances in Physics, 2018 - Taylor & Francis
This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

New type of Weyl semimetal with quadratic double Weyl fermions

SM Huang, SY Xu, I Belopolski, CC Lee… - Proceedings of the …, 2016 - pnas.org
Weyl semimetals have attracted worldwide attention due to their wide range of exotic
properties predicted in theories. The experimental realization had remained elusive for a …

Topological Mott insulator at quarter filling in the interacting Haldane model

P Mai, BE Feldman, PW Phillips - Physical Review Research, 2023 - APS
While the recent advances in topology have led to a classification scheme for electronic
bands described by the standard theory of metals, a similar scheme has not emerged for …

Fermionic quantum criticality in honeycomb and -flux Hubbard models: Finite-size scaling of renormalization-group-invariant observables from quantum Monte Carlo

F Parisen Toldin, M Hohenadler, FF Assaad, IF Herbut - Physical Review B, 2015 - APS
We numerically investigate the critical behavior of the Hubbard model on the honeycomb
and the π-flux lattice, which exhibits a direct transition from a Dirac semimetal to an …

Deconfined quantum criticality lost

M Song, J Zhao, M Cheng, C Xu, MM Scherer… - ar** 3D fermions with global symmetries
L Iliesiu, F Kos, D Poland, SS Pufu… - Journal of High Energy …, 2018 - Springer
A bstract We study the conformal bootstrap for 4-point functions of fermions< ψ i ψ j ψ k ψ ℓ>
in parity-preserving 3d CFTs, where ψ i transforms as a vector under an O (N) global …

Transport properties in non-Fermi liquid phases of nodal-point semimetals

I Mandal, H Freire - Journal of Physics: Condensed Matter, 2024 - iopscience.iop.org
In this review, we survey the current progress in computing transport properties in
semimetals which harbour non-Fermi liquid (NFL) phases. We first discuss the widely-used …

Pairing States of Spin- Fermions: Symmetry-Enforced Topological Gap Functions

JWF Venderbos, L Savary, J Ruhman, PA Lee, L Fu - Physical Review X, 2018 - APS
We study the topological properties of superconductors with paired j= 3 2 quasiparticles.
Higher spin Fermi surfaces can arise, for instance, in strongly spin-orbit coupled band …