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The discovery of alternating superconducting and insulating ground-states in magic angle graphene has suggested an intriguing analogy with cuprate high-$T_c$ materials. Here we argue that the network states of small angle twisted bilayer…

Strongly Correlated Electrons · Physics 2020-10-02 E. J. König , Piers Coleman , A. M. Tsvelik

The flat bands of magic-angle twisted bilayer graphene (MATBG) host strongly-correlated electronic phases such as correlated insulators, superconductors and a strange-metal state. The latter state, believed to be key for understanding the…

The flat electronic bands in magic-angle twisted bilayer graphene (MATBG) host a variety of correlated insulating ground states, many of which are predicted to support charged excitations with topologically non-trivial spin and/or valley…

Rhombohedral graphene with topological flat bands offers an ideal platform for realizing correlated and topological quantum phases. Here we investigate hBN aligned eight-layer rhombohedral graphene moire superlattices, which host a robust…

A graphene nanoribbon is a good candidate for a $(1+1)$ Chern-Simons topological insulator since it obeys particle-hole symmetry. We show that in a finite semiconducting armchair ribbon, which has two zigzag edges and two armchair edges, a…

Mesoscale and Nanoscale Physics · Physics 2015-11-04 Y. H. Jeong , S. -R. Eric Yang

We show that the valley Chern number of the low energy band in twisted double bilayer graphene can be tuned through two successive topological transitions, where the direct bandgap closes, by changing the electric field perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2021-05-05 Priyanka Mohan , Unmesh Ghorai , Rajdeep Sensarma

Recent experimental advances have uncovered fractional Chern insulator (FCI) states in twisted MoTe$_2$ (tMoTe$_2$) systems under zero magnetic field. Understanding the interaction effects on topological phases within realistic model…

Strongly Correlated Electrons · Physics 2026-02-03 Jialin Chen , Qiaoyi Li , Xiaoyu Wang , Wei Li

Chirally stacked $N$-layer graphene is a semimetal with $\pm p^N$ band-touching at two nonequivalent corners in its Brillioun zone. We predict that an off-resonant circularly polarized light (CPL) drives chirally stacked $N$-layer graphene…

Mesoscale and Nanoscale Physics · Physics 2018-04-02 Si Li , Cheng-Cheng Liu , Yugui Yao

The real Chern insulator state, featuring nontrivial real Chern number and second-order boundary modes, has been revealed in a few two-dimensional systems. The concept can be extended to three dimensions (3D), but a proper material…

Materials Science · Physics 2023-02-28 Xu-Tao Zeng , Bin-Bin Liu , Fan Yang , Zeying Zhang , Y. X. Zhao , Xian-Lei Sheng , Shengyuan A. Yang

Theoretical calculations show that twisted double bilayer graphene (TDBG) under a transverse electric field develops a valley Chern number 2 at charge neutrality. Using thermodynamic and thermal activation measurements we report the…

Mesoscale and Nanoscale Physics · Physics 2024-12-10 Yimeng Wang , G. William Burg , Biao Lian , Kenji Watanabe , Takashi Taniguchi , B. Andrei Bernevig , Emanuel Tutuc

We reveal a striking correspondence between electron- and phonon-driven pairing in twisted bilayer graphene (TBG) by mapping an atomistic electronically driven pairing model onto an effective inter-valley, intra-Chern description,…

Superconductivity · Physics 2026-03-09 Lucas Baldo , Patric Holmvall , Annica M. Black-Schaffer

Recent experiments [arXiv: 1808.07865] on twisted bilayer graphene (TBLG) show that under hydrostatic pressure, an insulating state at quarter-filling of the moir\'e superlattice (i.e., one charge per supercell) emerges, in sharp contrast…

Strongly Correlated Electrons · Physics 2019-05-29 Bikash Padhi , Philip Phillips

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 the absence of time reversal symmetry, orbital magnetization provides a sensitive probe of topology and interactions, with particularly rich phenomenology in Chern insulators where topological edge states carry large equilibrium…

Charge carriers in magic angle graphene come in eight flavors described by a combination of their spin, valley, and sublattice polarizations. When the inversion and time reversal symmetries are broken by the substrate or by strong…

Photonic Chern insulators can be implemented in gyromagnetic photonic crystals with broken time-reversal (TR) symmetry. They exhibit gapless chiral edge states (CESs), enabling unidirectional propagation and demonstrating exceptional…

Mesoscale and Nanoscale Physics · Physics 2024-05-30 Subhaskar Mandal , Ziyao Wang , Rimi Banerjee , Hau Tian Teo , Peiheng Zhou , Xiang Xi , Zhen Gao , Gui-Geng Liu , Baile Zhang

From the low-energy model, the topological field theory indicates that the surface magnetization can open a surface gap in 3D topological insulators (TIs), resulting in a half-quantized Hall conductance. Here by employing the realistic…

Mesoscale and Nanoscale Physics · Physics 2024-10-30 Yu-Hao Wan , Qing-Feng Sun

The flat bands resulting from moir\'e superlattices in magic-angle twisted bilayer graphene (MATBG) and ABC-trilayer graphene aligned with hexagonal boron nitride (ABC-TLG/hBN) have been shown to give rise to fascinating correlated electron…

We theoretically investigate a folded bilayer graphene structure as an experimentally realizable platform to produce the one-dimensional topological zero-line modes. We demonstrate that the folded bilayer graphene under an external gate…

Mesoscale and Nanoscale Physics · Physics 2018-12-26 Tao Hou , Guanghui Chen , Wang-Kong Tse , Changgan Zeng , Zhenhua Qiao

We present a simple model that we believe captures the key aspects of the competition between superconducting and insulating states in twisted bilayer graphene. Within this model, the superconducting phase is primary, and arises at generic…

Strongly Correlated Electrons · Physics 2019-09-16 Yang-Zhi Chou , Yu-Ping Lin , Sankar Das Sarma , Rahul M. Nandkishore