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The search for new realization of topologically protected edge states is an active area of research. We show that a tilt boundary in gated multi-layer graphene supports topologically protected gapless kink states, associated with quantum…

Mesoscale and Nanoscale Physics · Physics 2013-06-27 Abolhassan Vaezi , Yufeng Liang , Darryl H. Ngai , Li Yang , Eun-Ah Kim

We extensively investigate the electronic and transport properties of a twisted bilayer graphene when subjected to both an external perpendicular electric field and a magnetic field. Using a basic tight-binding model, we show the flat…

Mesoscale and Nanoscale Physics · Physics 2023-11-13 Priyanka Sinha , Ayan Mondal , Simão Meneses João , Bheema Lingam Chittari

The effect of Coulomb interaction in an ensemble of Dirac fermions on the formation of superconducting pairing in monolayer and bilayer doped graphene is studied using the Kohn-Luttinger mechanism disregarding the Van der Waals potential of…

Superconductivity · Physics 2015-01-19 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

Understanding the normal-metal state transport in twisted bilayer graphene near magic angle is of fundamental importance as it provides insights into the mechanisms responsible for the observed strongly correlated insulating and…

Mesoscale and Nanoscale Physics · Physics 2024-02-19 Gargee Sharma , Indra Yudhistira , Nilotpal Chakraborty , Derek Y. H. Ho , Michael S. Fuhrer , Giovanni Vignale , Shaffique Adam

We investigate twisted bilayer graphene near charge neutrality using a generalized Bistritzer-MacDonald continuum model, accounting for corrugation effects. The Fermi velocity vanishes for particular twist angles properly reproducing the…

Strongly Correlated Electrons · Physics 2022-09-07 Eric Brillaux , David Carpentier , Andrei A. Fedorenko , Lucile Savary

This is a theoretical study of electron transport in gated bilayer graphene - a novel semiconducting material with a tunable band gap. It is shown that the which-layer pseudospin coherence enhances the subgap conductivity and facilitates…

Mesoscale and Nanoscale Physics · Physics 2012-05-28 Maxim Trushin

At a discrete set of magic angles, twisted bilayer graphene has been shown to host extraordinarily flat bands, correlated insulating states, unconventional superconductivity, and distinct Landau level degeneracies. In this work, we design a…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Ayush Singh , Colin Benjamin

We study the nonequilibrium steady state of a Mott insulator coupled to a thermostat and driven by a constant electric field, starting from weak fields, until the dielectric breakdown, and beyond. We find that the conventional Zener picture…

Strongly Correlated Electrons · Physics 2015-03-20 Camille Aron

In single sheets of graphene, vacancy-induced states have been shown to host an effective spin-1/2 hole that can be Kondo-screened at low temperatures. Here, we show how these vacancy-induced impurity states survive in twisted bilayer…

Strongly Correlated Electrons · Physics 2024-10-07 Yueqing Chang , Jinjing Yi , Ang-Kun Wu , Fabian B. Kugler , Eva Y. Andrei , David Vanderbilt , Gabriel Kotliar , J. H. Pixley

Magic-angle twisted multilayer graphene stands out as a highly tunable class of moir\'e materials that exhibit strong electronic correlations and robust superconductivity. However, understanding the relations between the low-temperature…

At certain angles of rotation called `magic angles' twisted bilayer graphene features almost flat bands. The resulting strong correlations drive the system to novel phases which have been observed in experiments recently. A complete…

Mesoscale and Nanoscale Physics · Physics 2018-11-01 Steven C. Carter , Hridis K. Pal , M. Kindermann

We study strongly correlated superconductivity in magic-angle twisted bilayer graphene (MATBG) using variational Gutzwiller wavefunction where the Gutzwiller projector $\hat{P}_{R}$ is allowed to break charge U(1) symmetry to accommodate…

Strongly Correlated Electrons · Physics 2026-04-09 Matthew Shu Liang , Yi-Jie Wang , Geng-Dong Zhou , Zhi-Da Song , Xi Dai

The rich phenomenology of twisted bilayer graphene (TBG) near the magic angle is believed to arise from electron correlations in topological flat bands. An unbiased approach to this problem is highly desirable, but also particularly…

Strongly Correlated Electrons · Physics 2021-09-28 Johannes S. Hofmann , Eslam Khalaf , Ashvin Vishwanath , Erez Berg , Jong Yeon Lee

Using mean-field theory, we investigate the ground state properties of ultracold bosons loaded in a honeycomb lattice with on-site repulsive interactions and imbalanced nearest-neighbor hopping amplitudes. Taking into account correlations…

Quantum Gases · Physics 2014-06-24 Krzysztof Gawryluk , Christian Miniatura , Benoît Grémaud

We report on a fully self-consistent Hartree-Fock calculation of interaction effects on the Moir\'e flat bands of twisted bilayer graphene, assuming that valley U(1) symmetry is respected. We use realistic band structures and interactions…

Strongly Correlated Electrons · Physics 2021-10-06 Shang Liu , Eslam Khalaf , Jong Yeon Lee , Ashvin Vishwanath

The pairing symmetry of an effective Hamiltonian for interacting fermions on a twisted bilayer graphene superlattice is studied with the determinant quantum Monte Carlo method. The model has the symmetry of a triangle lattice and a…

Strongly Correlated Electrons · Physics 2018-07-03 Huaiming Guo , Xingchuan Zhu , Shiping Feng , Richard T. Scalettar

Magic-angle twisted bilayer graphene (MATBG) exhibits a rich variety of electronic states, including correlated insulators, superconductors, and topological phases. Understanding the microscopic mechanisms responsible for these phases…

The microscopic mechanism of superconductivity in the magic-angle twisted graphene family, including magic-angle twisted trilayer graphene (MATTG), is poorly understood. Properties of MATTG, like Pauli limit violation, suggest…

We investigate the interplay of in-plane magnetic and transverse electric fields in AB-stacked bilayer graphene. In prior work, we demonstrated that this configuration induces an insulator-metal (IM) transition with large impact on the…

Mesoscale and Nanoscale Physics · Physics 2026-03-27 Amarnath Chakraborty , Aleksandr Rodin , Shaffique Adam , Giovanni Vignale

We demonstrate that superconductivity driven by strong quantum-critical fluctuations can emerge near relativistic Mott transitions in twisted two-dimensional materials, taking on a remarkably rich character. In twisted double-bilayer…

Strongly Correlated Electrons · Physics 2025-10-09 Veronika C. Stangier , Mathias S. Scheurer , Daniel E. Sheehy , Jörg Schmalian