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Recently, symmetry-broken ground states, such as correlated insulating states, magnetic order and superconductivity, have been discovered in twisted bilayer graphene (tBLG) and twisted trilayer graphene (tTLG) near the so-called…

We analyze the phase diagram of the Bilayer graphene (BLG) at zero temperature and doping. Assuming that at the high energies the electronic system of BLG can be described within a weak coupling theory (consistent with the experimental…

Strongly Correlated Electrons · Physics 2012-07-02 Y. Lemonik , I. L. Aleiner , V. I. Fal'ko

The understanding of strongly-correlated materials, and in particular unconventional superconductors, has puzzled physicists for decades. Such difficulties have stimulated new research paradigms, such as ultra-cold atom lattices for…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Yuan Cao , Valla Fatemi , Shiang Fang , Kenji Watanabe , Takashi Taniguchi , Efthimios Kaxiras , Pablo Jarillo-Herrero

We show that unconventional nematic superconductors with multi-component order parameter in lattices with three-fold and six-fold rotational symmetries support a charge-$4e$ vestigial superconducting phase above $T_c$. The charge-$4e$…

Superconductivity · Physics 2021-07-28 Rafael M. Fernandes , Liang Fu

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 correlated states are commonly emerged in twisted bilayer graphene (TBG) with magic-angle, where the electron-electron (e-e) interaction U becomes prominent relative to the small bandwidth W of the nearly flat band. However, the…

Mesoscale and Nanoscale Physics · Physics 2023-07-11 Kaihui Li , Long-Jing Yin , Chenglong Che , Xueying Liu , Yulong Xiao , Songlong Liu , Qingjun Tong , Si-Yu Li , Anlian Pan

We theoretically investigate the thermoelectric properties (electronic contribution) of a normal-superconductor (NS) hybrid junction, where the normal region consists of magic-angle twisted bilayer graphene (MATBG). The superconducting…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Kamalesh Bera , Pritam Chatterjee , Priyanka Mohan , Arijit Saha

Rhombohedral graphene systems with different number of layers feature an abundance of correlated phases and superconducting states in experimental measurements with different doping and displacement fields. Some of the superconducting…

Strongly Correlated Electrons · Physics 2025-08-05 Guillermo Parra-Martínez , Alejandro Jimeno-Pozo , Jose Angel Silva-Guillén , Francisco Guinea

Nematic superconductors possess unconventional superconducting order parameters that spontaneously break rotational symmetry of the underlying crystal. In this work we propose a mechanism for nematic superconductivity stabilized by strong…

Superconductivity · Physics 2019-04-10 Vladyslav Kozii , Hiroki Isobe , Jörn W. F. Venderbos , Liang Fu

The electronic properties of twisted bilayer graphene (TBG) can be dramatically different from those of a single graphene layer, in particular when the two layers are rotated relative to each other by a small angle. TBG has recently…

The coexistence of superconducting and correlated insulating states in magic-angle twisted bilayer graphene prompts fascinating questions about the relationship of these orders. Independent control of the microscopic mechanisms governing…

The discovery of magic-angle twisted trilayer graphene (tTLG) adds a new twist to the family of graphene moir\'e. The additional graphene layer unlocks a series of intriguing properties in the superconducting phase, such as the violation of…

Mesoscale and Nanoscale Physics · Physics 2024-01-05 Xiaoxue Liu , Naiyuan James Zhang , K. Watanabe , T. Taniguchi , J. I. A. Li

We investigate the full doping and strain-dependent phase diagram of the normal state of magic-angle twisted bilayer graphene (TBG). Using comprehensive Hartree-Fock calculations, we show that at temperatures where superconductivity is…

Strongly Correlated Electrons · Physics 2022-05-11 Glenn Wagner , Yves H. Kwan , Nick Bultinck , Steven H. Simon , S. A. Parameswaran

The recent discovery of correlated insulator states and superconductivity in magic-angle twisted bilayer graphene has paved the way to the experimental investigation of electronic correlations in tunable flat band systems realized in…

Ferromagnetism and superconductivity typically compete with each other since the internal magnetic field generated in a magnet suppresses the formation of spin-singlet Cooper pairs in conventional superconductors. Only a handful of…

Mesoscale and Nanoscale Physics · Physics 2020-07-09 Xiaomeng Liu , Zeyu Hao , Eslam Khalaf , Jong Yeon Lee , Kenji Watanabe , Takashi Taniguchi , Ashvin Vishwanath , Philip Kim

In magic angle twisted bilayer graphene, transport, thermodynamic and spectroscopic experiments pinpoint at a competition between distinct low-energy states with and without electronic order. We use Dynamical Mean Field Theory (DMFT) on the…

We show how the pairing symmetry of superconducting states in twisted bilayer graphene can be experimentally identified by theoretically studying effects of externally applied in-plane magnetic field and strain. In the low field regime,…

Superconductivity · Physics 2019-07-03 Fengcheng Wu , Sankar Das Sarma

Magic-angle twisted bilayer graphene (MATBG) is notable as a highly tunable platform for investigating strongly correlated phenomena such as high-$T_c$ superconductivity and quantum spin liquids, due to easy control of doping level through…

Mesoscale and Nanoscale Physics · Physics 2020-06-04 Xiao Chen , Shuanglong Liu , James N Fry , Hai-Ping Cheng

Magic-angle helical trilayer graphene relaxes into commensurate moir\'e domains, whose topological and well-isolated set of narrow bands possess ideal characteristics for realizing robust correlated topological phases, compared with other…

Strongly Correlated Electrons · Physics 2023-08-21 Yves H. Kwan , Patrick J. Ledwith , Chiu Fan Bowen Lo , Trithep Devakul

In the magic angle twisted bilayer graphene (MATBG), one of the most remarkable observations is the $C_3$-symmetry-breaking nematic state. We identify that the nematicity in MATBG is the $E$-symmetry ferro bond order, which is the…

Strongly Correlated Electrons · Physics 2022-03-01 Seiichiro Onari , Hiroshi Kontani