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Moir\'e superlattice in twisted bilayer graphene has been proven to be a versatile platform for exploring exotic quantum phases. Extensive investigations have been invoked focusing on the zero-magnetic-field phase diagram at the magic twist…

Graphene grain boundaries have attracted interest for their ability to host nearly dispersionless electronic bands and magnetic instabilities. Here, we employ quantum transport and universal conductance fluctuations (UCF) measurements to…

We present a clear and mathematically simple procedure explaining spontaneous symmetry breaking in quantum mechanical systems. The procedure is applicable to a wide range of models and can be easily used to explain the existence of a…

Classical Physics · Physics 2010-04-29 Jasper van Wezel , Jeroen van den Brink

Bilayer graphene twisted at the angle of about 1.1{\deg} better known as magic angle, exhibits ultra-flat moir\'e superlattice bands that are a source of highly-tunable, exotic quantum phenomena. Such phenomena, like superconductivity,…

Strongly Correlated Electrons · Physics 2024-11-05 Giovanna Feraco , Wissem Boubaker , Petra Rudolf , Antonija Grubišić-Čabo

Emergent phenomena arising from the collective behavior of electrons is generally expected when Coulomb interactions dominate over the kinetic energy, as in delocalized quasiparticles in highly degenerate flat bands. Bernal-stacked bilayer…

The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. The theory of quantum entanglement is currently leading to a paradigm shift in understanding…

Quantum Physics · Physics 2016-11-18 V. Zauner , D. Draxler , L. Vanderstraeten , J. Haegeman , F. Verstraete

Spontaneous symmetry breaking is an important concept for understanding physics ranging from the elementary particles to states of matter. For example, the superconducting state breaks global gauge symmetry, and unconventional…

Superconductivity · Physics 2016-09-13 K. Matano , M. Kriener , K. Segawa , Y. Ando , Guo-qing Zheng

We analyze the ordered phases of Bernal stacked multilayer graphene in the presence of interaction induced band gaps due to sublattice symmetry breaking potentials, whose solutions can be analyzed in terms of light-mass and heavy-mass…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 Chiho Yoon , Yunsu Jang , Jeil Jung , Hongki Min

Inspired by the recent experimental discovery of superconductivity emerging from a time-reversal symmetry-breaking normal state in tetralayer rhombohedral graphene, we here investigate superconducting instabilities in this system. We…

Strongly Correlated Electrons · Physics 2025-11-13 Maine Christos , Pietro M. Bonetti , Mathias S. Scheurer

Graphene is a gapless semiconductor in which conduction and valence band wavefunctions differ only in the phase difference between their projections onto the two sublattices of the material's two-dimensional honeycomb crystal structure. We…

Mesoscale and Nanoscale Physics · Physics 2012-02-14 Allan H. MacDonald , Jeil Jung , Fan Zhang

We study the variations of electron-phonon coupling and their spectroscopic consequences in response to sliding of two layers in bilayer graphene using first-principles calculations and a model Hamiltonian. Our study shows that the long…

Mesoscale and Nanoscale Physics · Physics 2013-07-25 Seon-Myeong Choi , Seung-Hoon Jhi , Young-Woo Son

We investigate the quasi-bound states of a Coulomb impurity in graphene in the presence of a magnetic field. \ These states exhibit the dramatic and rather rare property of discrete scale invariance when the Coulomb potential is…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Hailong Li , Haiwen Liu , Robert Joynt , X. C. Xie

The transport properties of electrons in graphene $p$-$n$ junction with uniform Kekul\'e lattice distortion have been studied using the tight-binding model and the Landauer-B\"uttiker formalism combined with the nonequilibrium Green's…

Mesoscale and Nanoscale Physics · Physics 2023-07-19 Peipei Zhang , Chao Wang , Yu-Xian Li , Lixue Zhai , Juntao Song

Due to an uprise in the variety of candidate compounds, kagome metals have recently gained significant attention. Among other features, kagome metals host Dirac cones as a key band structure feature away from half filling, and potentially…

Strongly Correlated Electrons · Physics 2022-01-05 Riccardo Ciola , Kitinan Pongsangangan , Ronny Thomale , Lars Fritz

Interaction-driven spontaneous symmetry breaking lies at the heart of many quantum phases of matter. In moir\'e systems, broken spin/valley 'flavour' symmetry in flat bands underlies the parent state out of which ultimately correlated and…

Mesoscale and Nanoscale Physics · Physics 2021-06-22 Jeong Min Park , Yuan Cao , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero

Twisted bilayer graphene (TBG) has been experimentally observed to exhibit almost flat bands when the twisting occurs at certain magic angles. In this letter, we report new results on the continuum model of twisted bilayer graphene and its…

Strongly Correlated Electrons · Physics 2021-04-21 Simon Becker , Mark Embree , Jens Wittsten , Maciej Zworski

We show that the magnetic Raman response of a spin-liquid is independent of the polarizations of the light for triangular symmetries. In contrast, a ground-state that has a broken symmetry shows characteristic oscillations when the…

Strongly Correlated Electrons · Physics 2009-11-13 O. Cepas , J. O. Haerter , C. Lhuillier

We analyze a class of bound defect states in the continuum electronic spectrum of bilayer materials, which emerge independent of symmetry protection or additional degrees of freedom. Taking graphene as a prototypical example, our…

Mesoscale and Nanoscale Physics · Physics 2025-01-20 Daniel Massatt , Stephen P. Shipman , Ilya Vekhter , Justin H. Wilson

We report a local minimum in thermal conductivity in twisted bilayer graphene (TBG) at the angle of 1.08$^\circ$, which corresponds to the 'magic angle' in the transition of several other reported properties. Within the supercell of a…

Mesoscale and Nanoscale Physics · Physics 2024-09-12 Yajuan Cheng , Zheyong Fan , Tao Zhang , Masahiro Nomura , Sebastian Volz , Guimei Zhu , Baowen Li , Shiyun Xiong

We carry out large-scale quantum Monte Carlo simulations of a candidate field theory for the onset of superconductivity in magic-angle twisted bilayer graphene. The correlated insulating state at charge neutrality spontaneously breaks U(1)…

Strongly Correlated Electrons · Physics 2023-05-04 Disha Hou , Yuhai Liu , Toshihiro Sato , Fakher F. Assaad , Wenan Guo , Zhenjiu Wang
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