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While it has been one of the most important new physics discoveries in the last decade, the nature of superconductivity in the twisted graphene family remains an unsolved problem. Motivated by recent scanning tunneling experiments that…

Superconductivity · Physics 2026-02-19 Ke Wang , K. Levin

We argue that doped twisted bilayer graphene with magical twist angle can become superconducting. In our theoretical scenario, the superconductivity coexists with the spin-density-wave-like ordering. Numerical mean-field analysis…

Superconductivity · Physics 2024-03-12 A. O. Sboychakov , A. V. Rozhkov , A. L. Rakhmanov

The discovery of superconductivity in twisted bilayer and twisted trilayer graphene has generated tremendous interest. The key feature of these systems is an interplay between interlayer coupling and a moir\'e superlattice that gives rise…

The physics of superconductivity in magic-angle twisted bilayer graphene (MATBG) is a topic of keen interest in moir\'e systems research, and it may provide insight into the pairing mechanism of other strongly correlated materials such as…

Graphene is known to be non-superconducting. However, surprising superconductivity is recently discovered in a flat-band in a twisted bi-layer graphene. Here we show that superconductivity can be more easily realized in topological…

Superconductivity · Physics 2018-11-14 Feng Xu , Po-Hao Chou , Chung-Hou Chung , Ting-Kuo Lee , Chung-Yu Mou

The robustness of the macroscopic quantum nature of a superconductor can be characterized by the superfluid stiffness, $\rho_s$, a quantity that describes the energy required to vary the phase of the macroscopic quantum wave function. In…

Designer 2D materials where the constituent layers are not aligned may result in band structures with dispersionless, "flat" bands. Twisted bilayer graphene has been found to show correlated phases as well as superconductivity related to…

Superconductivity · Physics 2023-02-03 P. Törmä , S. Peotta , B. A. Bernevig

Magic-angle twisted bilayer graphene displays at different fillings of the four flat bands lying around the charge neutrality point a wealth of notable phases that include magnetic Chern insulators, whose magnetization is mostly of orbital…

Strongly Correlated Electrons · Physics 2023-09-07 Andrea Blason , Michele Fabrizio

This work investigates the electronic properties of twisted bilayer graphene (TBG) through computational calculations, with the aim of understanding the emergence of flat bands and conditions favorable for superconductivity close to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Rajendra Paudel , Nabin Upadhya Dhakal , Nurapati Pantha

We address the precise determination of the phase diagram of magic angle twisted bilayer graphene under hydrostatic pressure within a self-consistent Hartree-Fock method in real space, including all the remote bands of the system. We…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Miguel Sánchez Sánchez , Israel Díaz , José González , Tobias Stauber

We revisit the global phase diagram of magic-angle twisted bilayer and [symmetric] trilayer graphene (MA-TBG/TSTG) in light of recent scanning tunneling microscopy (STM) measurements on these materials. These experiments both confirmed the…

Strongly Correlated Electrons · Physics 2025-09-17 Ziwei Wang , Glenn Wagner , Yves H. Kwan , Nick Bultinck , Steven H. Simon , S. A. Parameswaran

We study electronic ordering instabilities of twisted bilayer graphene with $n=2$ electrons per supercell, where correlated insulator state and superconductivity are recently observed. Motivated by the Fermi surface nesting and the…

Strongly Correlated Electrons · Physics 2018-12-10 Hiroki Isobe , Noah F. Q. Yuan , Liang Fu

Superconductivity with transition temperature $T_c=1.7$ K has been reported in bilayer graphene [1,2]. The main factors, which may shed light on the mechanism of the formation of this superconductivity, are the following. Superconductivity…

Superconductivity · Physics 2018-06-22 G. E. Volovik

We obtain the superfluid weight and Berezinskii-Kosterlitz-Thouless (BKT) transition temperature for highly unconventional superconducting states with the coexistence of chiral d-wave superconductivity, charge density waves and pair density…

Superconductivity · Physics 2021-01-05 Feng Xu , Lei Zhang , Liyun Jiang , Wendeng Huang , Chung-Yu Mou

The ongoing discoveries of graphene-based superconductors underscore the quest to understand the structure of new superconducting orders. We develop a theory that facilitates the use of the quantum twisting microscope (QTM) for that…

Mesoscale and Nanoscale Physics · Physics 2025-09-30 Nemin Wei , Felix von Oppen , Leonid I. Glazman

Kekul\'e phases are Peierls-like lattice distortions in graphene that are predicted to host novel electronic states beyond graphene (1-8). Although the Kekul\'e phases are realized in graphene through introducing electron-electron…

Materials Science · Physics 2022-08-03 Mo-Han Zhang , Ya-Ning Ren , Qi Zheng , Xiao-Feng Zhou , Lin He

While regular flat bands are good for enhancing the density of states and hence the gap, they are detrimental to the superfluid weight. We show that the predicted nontrivial topology of the two lowest flat bands of twisted bilayer graphene…

Superconductivity · Physics 2020-04-29 Fang Xie , Zhida Song , Biao Lian , B. Andrei Bernevig

Recent scanning tunneling microscopy experiments [K.P. Nuckolls et al., arXiv:2303.00024] have revealed the ubiquity of Kekul\'e charge-density wave order in magic-angle twisted bilayer graphene. Most samples are moderately strained and…

Strongly Correlated Electrons · Physics 2025-02-06 Yves H. Kwan , Glenn Wagner , Nick Bultinck , Steven H. Simon , Erez Berg , S. A. Parameswaran

For the first time, basing both on experimental facts and our theoretical consideration, we show that Fermi systems with flat bands should be tuned with the superconducting state. Experimental measurements on magic-angle twisted bilayer…

Superconductivity · Physics 2022-05-16 V. R. Shaginyan , A. Z. Msezane , M. Ya. Amusia , G. S. Japaridze

The superconducting properties of layered materials can be controlled by thinning, stacking, and twisting, demanding investigation of electronic states by spectroscopic means at the nanometer scale. Here, we reveal the spatial variations of…

Superconductivity · Physics 2025-03-25 Masahiro Naritsuka , Tadashi Machida , Shun Asano , Youichi Yanase , Tetsuo Hanaguri
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