Moir\'e Fractional Chern Insulators III: Hartree-Fock Phase Diagram, Magic Angle Regime for Chern Insulator States, the Role of the Moir\'e Potential and Goldstone …

YH Kwan, J Yu, J Herzog-Arbeitman, DK Efetov… - arXiv preprint arXiv …, 2023 - arxiv.org
We investigate in detail the $\nu=+ 1$ displacement-field-tuned interacting phase diagram of
$ L= 3, 4, 5, 6, 7$ layer rhombohedral graphene aligned to hBN (R $ L $ G/hBN). Our …

Charge Conservation beyond Uniformity: Spatially Inhomogeneous Electromagnetic Response in Periodic Solids

RC McKay, F Mahmood, B Bradlyn - Physical Review X, 2024 - APS
Nonlinear electromagnetic response functions have reemerged as a crucial tool for studying
quantum materials, due to recently appreciated connections between optical response …

Twisted Bilayer Graphene: A Journey Through Recent Advances and Future Perspectives

RA Rakkesh, PNB Rebecca, TB Naveen… - Particle & Particle …, 2024 - Wiley Online Library
Twisted bilayer graphene (TBG) has emerged as a fascinating research frontier in
condensed matter physics and materials science. This review article comprehensively …

Competing generalized Wigner crystal states in moiré heterostructures

SF Ung, J Lee, DR Reichman - Physical Review B, 2023 - APS
We present a comprehensive study of generalized Wigner crystals across various filling
factors for system sizes up to 162 holes employing Hartree-Fock theory and explicitly …

Atomistic theory of the moiré Hofstadter butterfly in magic-angle graphene

A Wania Rodrigues, M Bieniek, P Potasz, D Miravet… - Physical Review B, 2024 - APS
We present here a Hofstadter's butterfly spectrum for the magic-angle twisted bilayer
graphene obtained using an ab initio-based multimillion-atom tight-binding model. We …

Exact ground state of interacting electrons in magic angle graphene

S Becker, L Lin, KD Stubbs - arXiv preprint arXiv:2312.15314, 2023 - arxiv.org
One of the most remarkable theoretical findings in magic angle twisted bilayer graphene
(TBG) is the emergence of ferromagnetic Slater determinants as exact ground states for the …

Modeling of electronic dynamics in twisted bilayer graphene

T Kong, D Liu, M Luskin, AB Watson - SIAM Journal on Applied Mathematics, 2024 - SIAM
We consider the problem of numerically computing the quantum dynamics of an electron in
twisted bilayer graphene. The challenge is that atomic-scale models of the dynamics are …

The Staggered Mesh Method: Accurate Exact Exchange Toward the Thermodynamic Limit for Solids

SJ Quiton, H Wu, X Xing, L Lin… - Journal of Chemical …, 2024 - ACS Publications
In periodic systems, the Hartree–Fock (HF) exchange energy exhibits the slowest
convergence of all HF energy components as the system size approaches the …

Correlated phases and topological phase transition in twisted bilayer graphene at one quantum of magnetic flux

M Sánchez Sánchez, T Stauber - Physical Review B, 2024 - APS
When the perpendicular magnetic flux per unit cell in a crystal is equal to the quantum of the
magnetic flux, Φ 0= h/e, we enter the “Hofstadter regime.” The large unit cell of moiré …

Semiclassical analysis of two-scale electronic Hamiltonians for twisted bilayer graphene

E Cancès, L Meng - arXiv preprint arXiv:2311.14011, 2023 - arxiv.org
This paper investigates the mathematical properties of independent-electron models for
twisted bilayer graphene by examining the density-of-states of corresponding single-particle …