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Chiral exact flat bands (FBs) at charge neutrality have attracted much recent interest, presenting an intriguing condensed-matter system to realize exact many-body phenomena, as specifically shown in "magic angle" twisted bilayer graphene…

Materials Science · Physics 2023-12-21 Gurjyot Sethi , Bowen Xia , Dongwook Kim , Hang Liu , Xiaoyin Li , Feng Liu

The group of moir\'e graphene superconductors keeps growing, and by now it contains twisted graphene multilayers and twisted double bilayers. We analyze the contribution of long range charge fluctuations in the superconductivity of twisted…

Mesoscale and Nanoscale Physics · Physics 2024-08-05 Min Long , Alejandro Jimeno-Pozo , Hector Sainz-Cruz , Pierre A. Pantaleon , Francisco Guinea

We study superconductivity and superfluid weight of the two-dimensional $\alpha$-$\mathcal{T}_3$ lattice with on-site asymmetries, hosting an isolated quasi-flat band with tunable bandwidth via a parameter $\alpha$. Within a mean-field…

Superconductivity · Physics 2026-04-16 M. A. Mojarro , Sergio E. Ulloa

Moire superlattices in twisted bilayer graphene (TBG) and its derived structures can host exotic correlated quantum phenomena because the narrow moire flat minibands in those systems effectively enhance the electron-electron interaction.…

Materials Science · Physics 2021-10-18 Qiaoling Xu , Yuzheng Guo , Lede Xian

A remarkable recent experiment has observed Mott insulator and proximate superconductor phases in twisted bilayer graphene when electrons partly fill a nearly flat mini-band that arises a `magic' twist angle. However, the nature of the Mott…

Strongly Correlated Electrons · Physics 2018-10-03 Hoi Chun Po , Liujun Zou , Ashvin Vishwanath , T. Senthil

Extensive investigations on the Moir\'e magic-angle have been conducted in twisted bilayer graphene, unlocking the mystery of unconventional superconductivity and insulating states. In analog to magic angle, here we demonstrate the new…

Mesoscale and Nanoscale Physics · Physics 2024-07-24 Qingxiang Ji , Bohan Li , Johan Christensen , Changguo Wang , Muamer Kadic

Electrons with large kinetic energy have a superconducting instability for infinitesimal attractive interactions. Quenching the kinetic energy and creating a flat band renders an infinitesimal repulsive interaction the relevant…

Mesoscale and Nanoscale Physics · Physics 2021-07-26 Alexander Lau , Timo Hyart , Carmine Autieri , Anffany Chen , Dmitry I. Pikulin

Magic-angle twisted bilayer graphene (MATBG) exhibits correlated phenomena such as superconductivity and Mott insulating state related to the weakly dispersing flat band near the Fermi energy. Beyond its moir\'e period, such flat band is…

A study of possible superconducting phases of graphene has been constructed in detail. A realistic tight binding model, fit to ab initio calculations, accounts for the Li-decoration of graphene with broken lattice symmetry, and includes $s$…

Superconductivity · Physics 2018-09-20 Rouhollah Gholami , Rostam Moradian , Sina Moradian , Warren E. Pickett

Current theories of high-temperature superconductivity in flat-band systems predict a linear dependence of the transition temperature on the attractive interaction, $T_c(U) = c|U|$. However, neither the value of $c$ nor the full nonlinear…

Superconductivity · Physics 2026-04-08 I. S. Tupitsyn , B. Currie , B. V. Svistunov , E. Kozik , N. V. Prokof'ev

In recent years, flat electronic bands in twisted bilayer graphene (TBG) have attracted significant attention due to their intriguing topological properties, extremely slow electron velocities, and enhanced density of states. Extending…

Quantum Gases · Physics 2025-06-16 Wenjie Sui , Wei Han , Zheng Vitto Han , Zengming Meng , Jing Zhang

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

We discuss a Kohn-Luttinger-like mechanism for superconductivity in Bernal bilayer graphene and rhombohedral trilayer graphene. Working within the continuum model description, we find that the screened long-range Coulomb interaction alone…

Mesoscale and Nanoscale Physics · Physics 2023-04-17 Alejandro Jimeno-Pozo , Héctor Sainz-Cruz , Tommaso Cea , Pierre A. Pantaleón , Francisco Guinea

The tunability of superconducting magic-angle twisted-layer graphene films elevates this material system to a promising candidate for superconducting electronics. We implement a gate-tuned Josephson junction in a magic-angle twisted…

Materials science and the study of the electronic properties of solids are a major field of interest in both physics and engineering. The starting point for all such calculations is single-electron, or non-interacting, band structure…

Quantum Physics · Physics 2020-01-08 Alicia J. Kollár , Mattias Fitzpatrick , Peter Sarnak , Andrew A. Houck

Moir\'e superlattices that consist of two or more layers of two-dimensional materials stacked together with a small twist angle have emerged as a tunable platform to realize various correlated and topological phases, such as Mott…

In recent experiments, superconductivity and correlated insulating states were observed in twisted bilayer graphene (TBG) with small magic angles, which highlights the importance of the flat bands near Fermi energy. However, the moir\'e…

Materials Science · Physics 2020-02-11 Jing-Yang You , Bo Gu , Gang Su

Flat band electronic modes are responsible for superconductivity in twisted bilayer graphene (TBG) rotated at magic angles. From there other magic angles can be found for any multilayered twisted graphene systems. Eventually, this lead to…

Mesoscale and Nanoscale Physics · Physics 2022-12-15 Leonardo A. Navarro-Labastida , Gerardo G. Naumis

Motivated by the recent discovery of Mott insulating phase and unconventional superconductivity due to the flat bands in twisted bilayer graphene, we propose more generic ways of getting two-dimensional (2D) emergent flat band lattices…

Mesoscale and Nanoscale Physics · Physics 2020-07-29 M. Tahir , Olivier Pinaud , Hua Chen

Graphene is at the forefront of condensed matter sciences, because of a variety of interesting phenomena it supports. If graphene could support high Tc superconductivity, after doping for example, it will make it even more valuable. Some…

Superconductivity · Physics 2013-05-29 Sandeep Pathak , Vijay B. Shenoy , G. Baskaran