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We show that for magic-angle twisted bilayer graphene (TBG) away from charge neutrality, although quantum Monte Carlo (QMC) simulations suffer from the sign problem, the computational complexity is at most polynomial at certain integer…

Strongly Correlated Electrons · Physics 2023-06-22 Xu Zhang , Gaopei Pan , Bin-Bin Chen , Heqiu Li , Kai Sun , Zi Yang Meng

A growing body of experimental work suggests that magic angle twisted bilayer graphene exhibits a "cascade" of spontaneous symmetry breaking transitions, sparking interest in the potential relationship between symmetry-breaking and…

Strongly Correlated Electrons · Physics 2022-10-12 Jung Pyo Hong , Tomohiro Soejima , Michael P. Zaletel

We study the effect of a uniform pseudomagnetic field, induced by a strain in a monolayer and double layer of gapped graphene, acting on excitons. For our analysis it is crucial that the pseudomagnetic field acts on the charges of the…

Mesoscale and Nanoscale Physics · Physics 2022-08-05 Oleg L. Berman , Roman Ya. Kezerashvili , Yurii E. Lozovik , Klaus G. Ziegler

Uniaxial strain is known to modify significantly the electronic properties of graphene, a carbon single layer of atomic width. Here, we study the effect of applied strain on the composite excitations arising from the coupling of charge…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 F. M. D. Pellegrino , G. G. N. Angilella , R. Pucci

The interplay between strong electron-electron interactions and band topology can lead to novel electronic states that spontaneously break symmetries. The discovery of flat bands in magic-angle twisted bilayer graphene (MATBG) with…

The microscopic pairing mechanism for superconductivity in magic-angle twisted bilayer graphene remains an open question. Recent experimental studies seem to rule out a purely electronic mechanism due to the insensitivity of the critical…

Superconductivity · Physics 2024-03-19 Liangtao Peng , Indra Yudhistira , Giovanni Vignale , Shaffique Adam

The role of twist angle ($\theta_t$) in tailoring the physical properties of heterostructures is emerging as a new paradigm in two-dimensional materials. The influence of flat electronic bands near the magic angle ($\sim$1.1$^{\circ}$) on…

Mesoscale and Nanoscale Physics · Physics 2025-07-14 Darshit Solanki , Kenji Watanabe , Takashi Taniguchi , A. K. Sood , Anindya Das

The search for new quantum spin Hall (QSH) phase and effective manipulations of their edge states are very important for both fundamental sciences and practical applications. Here, we use first-principles calculations to study the…

Moir\'e systems have emerged in recent years as a rich platform to study strong correlations. Here, we will discuss a simple, experimentally feasible setup based on periodically strained graphene that reproduces several key aspects of…

Mesoscale and Nanoscale Physics · Physics 2022-11-03 Qiang Gao , Junkai Dong , Patrick Ledwith , Daniel Parker , Eslam Khalaf

First-principles calculations for carbyne under strain predict that the Peierls transition from symmetric cumulene to broken-symmetry polyyne structure is enhanced as the material is stretched. Interpretation within a simple and instructive…

Materials Science · Physics 2014-07-04 Vasilii I. Artyukhov , Mingjie Liu , Boris I. Yakobson

Several numerical studies have shown that the electronic properties of twisted bilayers of graphene (TBLG) and transition metal dichalcogenides (TMDs) are tunable by strain engineering of the stacking layers. In particular, the flatness of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Marwa Mannaï , Sonia Haddad

Twisting two layers into a magic angle (MA) of ~1.1{\deg} is found essential to create low energy flat bands and the resulting correlated insulating, superconducting, and magnetic phases in twisted bilayer graphene (TBG). While most of…

Using first-principles density functional theory and determinant quantum Monte Carlo methods, we show that Janus graphene nanoribbons with topological defect arrays ($m=2$) exhibit robust intrinsic ferromagnetism across widths $W=2-6$, with…

Materials Science · Physics 2026-02-16 Ran Liu , Hongxing Liu , Junfeng Ren , Tianxing Ma

The band structure of single-layer black phosphorus and the effect of strain are predicted using density functional theory and tight-binding models. Having determined the localized orbital composition of the individual bands from…

Mesoscale and Nanoscale Physics · Physics 2014-08-26 A. S. Rodin , A. Carvalho , A. H. Castro Neto

The discovery of magic angle twisted bilayer graphene (MATBG) has unveiled a rich variety of superconducting, magnetic and topologically nontrivial phases. The existence of all these phases in one material, and their tunability, has opened…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Petr Stepanov , Ming Xie , Takashi Taniguchi , Kenji Watanabe , Xiaobo Lu , Allan H. MacDonald , B. Andrei Bernevig , Dmitri K. Efetov

The low-energy bands of twisted bilayer graphene form Dirac cones with approximate electron-hole symmetry at small rotation angles. These crossings are protected by the emergent symmetries of moir\'e patterns, conferring a topological…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Hector Ochoa

The effect of strain in zigzag ribbons of monolayer transition-metal dichalcogenides with induced superconductivity is studied using a minimal 3-band tight-binding model. The unstrained system shows a topological phase with Majorana zero…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Linhu Li , Eduardo V. Castro , Pedro D. Sacramento

Interlayer sliding degrees of freedom often determine the physical properties of two-dimensional (2D) materials. In graphene, for instance, the metastable rhombohedral stacking arrangement hosts correlated and topological electronic phases,…

We theoretically study the electronic structure of magic-angle twisted bilayer graphene with disordered moir\'e patterns. By using an extended continuum model incorporating non-uniform lattice distortion, we find that the local density of…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Naoto Nakatsuji , Mikito Koshino

Motivated by the recently observed insulating states in twisted bilayer graphene, we study the nature of the correlated insulating phases of the twisted bilayer graphene at commensurate filling fractions. We use the continuum model and…

Strongly Correlated Electrons · Physics 2020-07-23 Yi Zhang , Kun Jiang , Ziqiang Wang , Fuchun Zhang