Emergent Symmetry in and Crystalline Spin-Orbital Liquids

MG Yamada, M Oshikawa, G Jackeli - Physical Review Letters, 2018 - APS
While the enhancement of spin-space symmetry from the usual SU (2) to SU (N) is promising
for finding nontrivial quantum spin liquids, its realization in magnetic materials remains …

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 …

SU (4)-symmetric spin-orbital liquids on the hyperhoneycomb lattice

WMH Natori, EC Andrade, RG Pereira - Physical Review B, 2018 - APS
We study the effective spin-orbital model that describes the magnetism of 4 d 1 or 5 d 1 Mott
insulators in ideal tricoordinated lattices. In the limit of vanishing Hund's coupling, the model …

Intertwining SU() symmetry and frustration on a honeycomb lattice

XP Yao, RL Luo, G Chen - Physical Review B, 2022 - APS
Large symmetry groups in quantum many-body systems could strongly enhance quantum
fluctuations and thereby stabilize exotic quantum phases. Frustrated interactions were long …

Exact diagonalization of Heisenberg chains in the fully symmetric and antisymmetric representations

P Nataf, F Mila - Physical Review B, 2016 - APS
Motivated by recent experimental progress in the context of ultracold multicolor fermionic
atoms in optical lattices, we have developed a method to exactly diagonalize the …

Linear flavor-wave theory for fully antisymmetric SU() irreducible representations

FH Kim, K Penc, P Nataf, F Mila - Physical Review B, 2017 - APS
The extension of the linear flavor-wave theory to fully antisymmetric irreducible
representations (irreps) of SU N is presented in order to investigate the color order of SU N …

Dynamics of a quantum spin liquid

WMH Natori, M Daghofer, RG Pereira - Physical Review B, 2017 - APS
We study a spin-orbital model for 4 d 1 or 5 d 1 Mott insulators in ordered double perovskites
with strong spin-orbit coupling. This model is conveniently written in terms of pseudospin …

Variational Monte Carlo investigation of Heisenberg chains

J Dufour, P Nataf, F Mila - Physical Review B, 2015 - APS
Motivated by recent experimental progress in the context of ultracold multicolor fermionic
atoms in optical lattices, we have investigated the properties of the SU (N) Heisenberg chain …

Ground-state phase diagram of the Heisenberg model on a plaquette lattice

R Kaneko, S Goto, I Danshita - Physical Review A, 2024 - APS
We investigate the ground state of the SU (4) Heisenberg model on a square lattice with
spatial anisotropy on each plaquette bond using the tensor-network method based on …

Exact diagonalization of SU() Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU() symmetry

K Wan, P Nataf, F Mila - Physical Review B, 2017 - APS
We present a method for the exact diagonalization of the SU (N) Heisenberg interaction
Hamiltonian using Young tableaus to work directly in each irreducible representation of the …