Orbital effects in solids: Basics, recent progress, and opportunities

DI Khomskii, SV Streltsov - Chemical Reviews, 2020 - ACS Publications
The properties of transition metal compounds are largely determined by nontrivial interplay
of different degrees of freedom: charge, spin, lattice, and also orbital ones. Especially rich …

[HTML][HTML] Kitaev materials

S Trebst, C Hickey - Physics Reports, 2022 - Elsevier
In transition-metal compounds with partially filled 4 d and 5 d shells spin–orbit
entanglement, electronic correlations, and crystal-field effects conspire to give rise to a …

Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene

JWF Venderbos, RM Fernandes - Physical Review B, 2018 - APS
The recent observation of superconductivity in proximity to an insulating phase in twisted
bilayer graphene (TBG) at small “magic” twist angles has been linked to the existence of …

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 …

Detection of multipolar orders in the spin-orbit-coupled Mott insulator

D Hirai, H Sagayama, S Gao, H Ohsumi, G Chen… - Physical Review …, 2020 - APS
Synchrotron x-ray-diffraction measurements on single crystals of the double perovskite B a 2
MgRe O 6 with 5 d 1 electronic configurations reveal the successive phase transitions from a …

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 …

Ordering of hidden multipoles in spin-orbit entangled Ta chlorides

H Ishikawa, T Takayama, RK Kremer, J Nuss… - Physical Review B, 2019 - APS
Spin-orbit coupling of as large as a half eV for electrons in 5 d orbitals often gives rise to the
formation of spin-orbital entangled objects, with the effective total angular momentum J eff …

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 …

Heisenberg-Kitaev model in a magnetic field: expansion

PM Cônsoli, L Janssen, M Vojta, EC Andrade - Physical Review B, 2020 - APS
The exact solution of Kitaev's spin-1/2 honeycomb spin-liquid model has sparked an intense
search for Mott insulators hosting bond-dependent Kitaev interactions, of which Na 2 IrO 3 …

SU (4) Heisenberg model on the honeycomb lattice with exchange-frustrated perturbations: Implications for twistronics and Mott insulators

WMH Natori, R Nutakki, RG Pereira, EC Andrade - Physical Review B, 2019 - APS
The SU (4)-symmetric spin-orbital model on the honeycomb lattice was recently studied in
connection to correlated insulators such as the eg Mott insulator Ba 3 CuSb 2 O 9 and the …