Unifying Kitaev magnets, kagomé dimer models, and ruby Rydberg spin liquids

R Verresen, A Vishwanath - Physical Review X, 2022 - APS
The exploration of quantum spin liquids (QSLs) has been guided by different approaches
including the resonating valence bond (RVB) picture, deconfined lattice gauge theories, and …

Unveiling the S= 3/2 Kitaev honeycomb spin liquids

HK **, WMH Natori, F Pollmann, J Knolle - Nature communications, 2022 - nature.com
Abstract The S= 3/2 Kitaev honeycomb model (KHM) is a quantum spin liquid (QSL) state
coupled to a static Z2 gauge field. Employing an SO (6) Majorana representation of …

Metallic and deconfined quantum criticality in Dirac systems

ZH Liu, M Vojta, FF Assaad, L Janssen - Physical Review Letters, 2022 - APS
Motivated by the physics of spin-orbital liquids, we study a model of interacting Dirac
fermions on a bilayer honeycomb lattice at half filling, featuring an explicit global SO (3)× U …

Quantum liquids of the Kitaev honeycomb and related Kugel-Khomskii models

WMH Natori, HK **, J Knolle - Physical Review B, 2023 - APS
The S= 3 2 Kitaev honeycomb model (KHM) is unique among the spin-S Kitaev models due
to a massive ground-state quasidegeneracy that hampered previous numerical and …

Topological transitions in the Yao-Lee spin-orbital model and effects of site disorder

V Poliakov, WH Kao, NB Perkins - Physical Review B, 2024 - APS
The Yao-Lee model is an example of exactly solvable spin-orbital models that are
generalizations of the original Kitaev honeycomb model with extra local orbital degrees of …

Critical properties of metallic and deconfined quantum phase transitions in Dirac systems

ZH Liu, M Vojta, FF Assaad, L Janssen - Physical Review B, 2024 - APS
We characterize, by means of large-scale fermion quantum Monte Carlo simulations,
metallic and deconfined quantum phase transitions in a bilayer honeycomb model in terms …

Absence of SO (4) quantum criticality in Dirac semimetals at two-loop order

M Uetrecht, IF Herbut, E Stamou, MM Scherer - Physical Review B, 2023 - APS
Evidence for relativistic quantum criticality of antiferromagnetism and superconductivity in
two-dimensional Dirac fermion systems has been found in large-scale quantum Monte Carlo …

Gross-Neveu-Heisenberg criticality from expansion

K Ladovrechis, S Ray, T Meng, L Janssen - Physical Review B, 2023 - APS
The Gross-Neveu-Heisenberg universality class describes a continuous quantum phase
transition between a Dirac semimetal and an antiferromagnetic insulator. Such quantum …

Exact deconfined gauge structures in the higher-spin Yao-Lee model: a quantum spin-orbital liquid with spin fractionalization and non-Abelian anyons

Z Wu, JY Zhang, H Yao - Physical Review Letters, 2024 - APS
The nonintegrable higher spin Kitaev honeycomb model has an exact Z 2 gauge structure,
which exclusively identifies quantum spin liquid in the half-integer spin Kitaev model. But its …

Nematic quantum criticality in Dirac systems

J Schwab, L Janssen, K Sun, ZY Meng, IF Herbut… - Physical Review Letters, 2022 - APS
We investigate nematic quantum phase transitions in two different Dirac fermion models.
The models feature twofold and fourfold, respectively, lattice rotational symmetries that are …