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The chiral Hamiltonian for twisted graphene bilayers is written as a $2\times2$ matrix operator by a renormalization of the Hamiltonian that takes into account the particle-hole symmetry. This results in an effective Hamiltonian with an…

Mesoscale and Nanoscale Physics · Physics 2023-08-01 Gerardo G. Naumis , Leonardo A. Navarro-Labastida , Enrique Aguilar-Méndez , Abdiel Espinosa-Champo

Motivated by the recent observation of correlated insulator states and unconventional superconductivity in twisted bilayer graphene, we study the dependence of electron correlations on the twist angle and reveal the existence of strong…

Strongly Correlated Electrons · Physics 2019-09-18 Zachary A. H. Goodwin , Fabiano Corsetti , Arash A. Mostofi , Johannes Lischner

Graphene is a mechanically robust 2D material promising for flexible optoelectronic applications. However, its electromagnetic properties under strain are experimentally poorly understood. Here we present the far-infrared transmission…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Manisha Chhikara , Iaroslav Gaponenko , Patrycja Paruch , Alexey. B. Kuzmenko

We explore quantum-thermodynamic effects in a phosphorous (P)-doped graphene monolayer subjected to biaxial tensile strain. Introducing substitutional P atoms in the graphene lattice generates a tunable spin magnetic moment controlled by…

Mesoscale and Nanoscale Physics · Physics 2024-11-21 Natalia Cortés , J. Hernández-Tecorralco , L. Meza-Montes , R. de Coss , Patricio Vargas

We study the effect of electron-acoustic phonon interactions in twisted bilayer graphene on resistivity in the high-temperature transport and superconductivity in the low-temperature phase diagram. We theoretically show that twisted bilayer…

Mesoscale and Nanoscale Physics · Physics 2019-04-10 Fengcheng Wu , Euyheon Hwang , Sankar Das Sarma

Strain engineering is one of the key technologies for using graphene as an electronic device: the strain-induced pseudo-gauge field reflects Dirac electrons, thus opening the so-called conduction gap. Since strain accumulates in…

Mesoscale and Nanoscale Physics · Physics 2021-01-08 Masahiko Hayashi , Hideo Yoshioka , Hikari Tomori , Akinobu Kanda

Recently, alternating twist multilayer graphene (ATMG) has emerged as a family of moir\'e systems that share several fundamental properties with twisted bilayer graphene, and are expected to host similarly strong electron-electron…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 G. William Burg , Eslam Khalaf , Yimeng Wang , Kenji Watanabe , Takashi Taniguchi , Emanuel Tutuc

Strongly interacting electrons in solid-state systems often display tendency towards multiple broken symmetries in the ground state. The complex interplay between different order parameters can give rise to a rich phase diagram. Here, we…

We study magic angle graphene in the presence of both strain and particle-hole symmetry breaking due to non-local inter-layer tunneling. We perform a self-consistent Hartree-Fock study that incorporates these effects alongside realistic…

Using non-perturbative theoretical method, we address the problem of strong correlations in twisted bilayer-layer graphene at the magic angle. We concentrate on the solution without symmetry breaking, where conventional Mott insulating…

Strongly Correlated Electrons · Physics 2019-01-29 M. Haule , E. Y. Andrei , K. Haule

We study the effect of anisotropy (strain) on dynamical gap generation in graphene. We work with a low energy effective theory obtained from a tight-binding Hamiltonian expanded around the Dirac points in momentum space. We use a…

Mesoscale and Nanoscale Physics · Physics 2021-06-08 M. E. Carrington , A. R. Frey , B. A. Meggison

Recent mean-field calculations suggest that the superconducting state of twisted bilayer graphene exhibits either a nematic order or a spontaneous breakdown of the time-reversal symmetry. The two-dimensional character of the material and…

Strongly Correlated Electrons · Physics 2023-03-10 Ilaria Maccari , Johan Carlström , Egor Babaev

We study the correlated insulating phases of twisted bilayer graphene (TBG) in the absence of lattice strain at integer filling $\nu=\pm3$. Using the self-consistent Hartree-Fock method on a particle-hole symmetric model and allowing…

Strongly Correlated Electrons · Physics 2023-03-01 Fang Xie , Jian Kang , B. Andrei Bernevig , Oskar Vafek , Nicolas Regnault

Graphene, a one-layer honeycomb lattice of carbon atoms, exhibits unconventional phenomena and attracts much interest since its discovery. Recently, an unexpected Mott-like insulator state induced by moir\'e pattern and a superconducting…

Mesoscale and Nanoscale Physics · Physics 2019-11-22 Yao Wang , Yi-Jun Chang , Jun Gao , Yong-Heng Lu , Zhi-Qiang Jiao , Fang-Wei Ye , Xian-Min Jin

The ground states of twisted bilayer graphene (TBG) at chiral and flat-band limit with integer fillings are known from exact solutions, while their dynamical and thermodynamical properties are revealed by unbiased quantum Monte Carlo (QMC)…

Strongly Correlated Electrons · Physics 2024-03-15 Cheng Huang , Xu Zhang , Gaopei Pan , Heqiu Li , Kai Sun , Xi Dai , Ziyang Meng

Flat band electronic modes in twisted graphene bilayers are responsible for superconducting and other highly correlated electron-electron phases. Although some hints were known of a possible connection between the quantum Hall effect and…

Mesoscale and Nanoscale Physics · Physics 2023-05-10 Leonardo A. Navarro-Labastida , Gerardo G. Naumis

Crystallographic alignment between two-dimensional crystals in van der Waals heterostructures brought a number of profound physical phenomena, including observation of Hofstadter butterfly and topological currents, and promising novel…

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

The fascinating quantum many-body states in twisted bilayber graphene (TBG) at magic angle, due to the interplay of Coulomb interactions and the quantum metrics of flat bands, have been well understood both experimentally and theoretically.…

Strongly Correlated Electrons · Physics 2025-08-06 Cheng Huang , Nikolaos Parthenios , Maksim Ulybyshev , Xu Zhang , Fakher F. Assaad , Laura Classen , Zi Yang Meng

We perform Monte Carlo simulations of a gauge invariant spin system which describes random surfaces with gonihedric action in four dimensions. The Hamiltonian is a mixture of one-plaquette and additional two- and three-plaquette interaction…

High Energy Physics - Theory · Physics 2009-10-30 G. Koutsoumbas , G. K. Savvidy , K. G. Savvidy