Charged skyrmions and topological origin of superconductivity in magic-angle graphene

E Khalaf, S Chatterjee, N Bultinck, MP Zaletel… - Science …, 2021 - science.org
Topological solitons, a class of stable nonlinear excitations, appear in diverse domains as in
the Skyrme model of nuclear forces. Here, we argue that similar excitations play an …

Deconfined quantum criticality lost

M Song, J Zhao, M Cheng, C Xu, MM Scherer… - arXiv preprint arXiv …, 2023 - arxiv.org
Over the past two decades, the enigma of the deconfined quantum critical point (DQCP) has
attracted broad attention across the condensed matter, quantum field theory, and high …

Skyrmion superconductivity: DMRG evidence for a topological route to superconductivity

S Chatterjee, M Ippoliti, MP Zaletel - Physical review B, 2022 - APS
It was recently suggested that the topology of magic-angle twisted bilayer graphene's
(MATBG) flat bands could provide a novel mechanism for superconductivity distinct from …

Phases of SO(5) Nonlinear Sigma Model with a Topological Term on a Sphere: Multicritical Point and Disorder Phase

BB Chen, X Zhang, Y Wang, K Sun, ZY Meng - Physical Review Letters, 2024 - APS
Novel critical phenomena beyond the Landau-Ginzburg-Wilson paradigm have been long
sought after. Among many candidate scenarios, the deconfined quantum critical point …

Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

W Jiang, BB Chen, ZH Liu, J Rong, FF Assaad… - SciPost Physics, 2023 - scipost.org
Motivated by recent development of the concept of the disorder operator and its relation with
entanglement entropy in bosonic systems, here we show the disorder operator successfully …

Dirac fermions with plaquette interactions. I. SU (2) phase diagram with Gross-Neveu and deconfined quantum criticalities

Y Da Liao, XY Xu, ZY Meng, Y Qi - Physical Review B, 2022 - APS
We investigate the ground state phase diagram of an extended Hubbard model with a π-flux
hopping term at half filling on a square lattice, with unbiased large-scale auxiliary-field …

Unconventional superconducting quantum criticality in monolayer WTe2

T Song, Y Jia, G Yu, Y Tang, P Wang, R Singha, X Gui… - Nature Physics, 2024 - nature.com
The transitions from a superconductor to a resistive state in two dimensions provide a
valuable platform for studying continuous quantum phase transitions and critical …

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 …

The teaching from entanglement: 2D SU (2) antiferromagnet to valence bond solid deconfined quantum critical points are not conformal

Y Da Liao, G Pan, W Jiang, Y Qi, ZY Meng - arXiv preprint arXiv …, 2023 - arxiv.org
The deconfined quantum critical point (DQCP)--the enigmatic incarnation of the quantum
phase transition beyond the Landau-Ginzburg-Wilson paradigm of symmetries and their …

Extended Hubbard model in undoped and doped monolayer and bilayer graphene: Selection rules and organizing principle among competing orders

AL Szabó, B Roy - Physical Review B, 2021 - APS
Performing a leading-order renormalization group analysis, here we compute the effects of
generic local or short-range electronic interactions in monolayer and the Bernal bilayer …