Kondo lattice model in magic-angle twisted bilayer graphene

YZ Chou, S Das Sarma - Physical Review Letters, 2023 - APS
We systematically study emergent Kondo lattice models from magic-angle twisted bilayer
graphene using the topological heavy fermion representation. At the commensurate fillings …

SU (4) chiral spin liquid, exciton supersolid, and electric detection in moiré bilayers

YH Zhang, DN Sheng, A Vishwanath - Physical review letters, 2021 - APS
We propose a moiré bilayer as a platform where exotic quantum phases can be stabilized
and electrically detected. Moiré bilayers consist of two separate moiré superlattice layers …

Many-body physics of ultracold alkaline-earth atoms with SU (N)-symmetric interactions

E Ibarra-García-Padilla… - Journal of Physics …, 2024 - iopscience.iop.org
Symmetries play a crucial role in understanding phases of matter and the transitions
between them. Theoretical investigations of quantum models with SU (N) symmetry have …

Universal thermodynamics of an Fermi-Hubbard model

E Ibarra-García-Padilla, S Dasgupta, HT Wei, S Taie… - Physical Review A, 2021 - APS
The SU (2) symmetric Fermi-Hubbard model (FHM) plays an essential role in strongly
correlated fermionic many-body systems. In the one particle per site and strongly interacting …

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 …

Simulating chiral spin liquids with fermionic projected entangled pair states

S Budaraju, D Poilblanc, S Niu - Physical Review B, 2024 - APS
Chiral spin liquids (CSL) based on spin-1/2 fermionic projected entangled pair states
(fPEPS) are considered on the square lattice. First, fPEPS approximants of Gutzwiller …

Variational Monte Carlo approach to the SU (4) spin-orbital model on the triangular lattice

C Zhang, HK **, Y Zhou - Physical Review B, 2024 - APS
Previous investigations have suggested that the simplest spin-orbital model on the simplest
frustrated lattice can host a nematic quantum spin-orbital liquid state. Namely, the orbital …

Twisting the Dirac cones of the SU (4) spin-orbital liquid on the honeycomb lattice

HK **, WMH Natori, J Knolle - Physical Review B, 2023 - APS
By combining the density matrix renormalization group (DMRG) method with Gutzwiller
projected wave functions, we study the SU (4) symmetric spin-orbital model on the …

Unveiling a critical stripy state in the triangular-lattice SU (4) spin-orbital model

HK **, RY Sun, HH Tu, Y Zhou - Science Bulletin, 2022 - Elsevier
The simplest spin-orbital model can host a nematic spin-orbital liquid state on the triangular
lattice. We provide clear evidence that the ground state of the SU (4) Kugel-Khomskii 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 …