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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

We study the interplay between intrinsic topological order and superconductivity in a two-component Haldane bilayer, where the two layers are coupled by an attractive force. We obtain the phase diagram of the model with exact…

Strongly Correlated Electrons · Physics 2024-09-11 Valentin Crépel , Nicolas Regnault

We propose and analyze a physical system that naturally admits two-dimensional topological nearly flat bands. Our approach utilizes an array of three-level dipoles (effective S = 1 spins) driven by inhomogeneous electromagnetic fields. The…

Strongly Correlated Electrons · Physics 2013-11-28 Norman Y. Yao , Chris R. Laumann , Alexey V. Gorshkov , Steven D. Bennett , Eugene Demler , Peter Zoller , Mikhail D. Lukin

We study second-order topological insulators and semimetals characterized by chiral symmetry. We investigate topological phase transitions of a model for construction of the two-dimensional second-order topological insulators protected only…

Mesoscale and Nanoscale Physics · Physics 2019-12-06 Ryo Okugawa , Shin Hayashi , Takeshi Nakanishi

We report on a double moir\'e system consisting of four graphene layers, where the top and bottom pairs form small-twist-angle bilayer graphene, and the middle interface has a large rotational mismatch. This system shows clear signatures of…

Two-dimensional (2D) materials for their versatile band structures and strictly 2D nature have attracted considerable attention over the past decade. Graphene is a robust material for spintronics owing to its weak spin-orbit and hyperfine…

Mesoscale and Nanoscale Physics · Physics 2017-01-30 Kuei-Lin Chiu , Yang Xu

Trions, charged quasiparticles formed by binding an exciton to an excess charge carrier, dominate the optical response of doped transition metal dichalcogenides (TMDs), and the study of the transport properties of trions in TMDs may have…

Mesoscale and Nanoscale Physics · Physics 2025-07-29 Yichen Chu , Qizhong Zhu

Twisted graphene multilayers provide tunable platforms to engineer flat bands and exploit the associated strongly correlated physics. The two-dimensional nature of these systems makes them suitable for encapsulation by materials that break…

Mesoscale and Nanoscale Physics · Physics 2022-02-03 Guangze Chen , Maryam Khosravian , Jose L. Lado , Aline Ramires

The occurrence of superconducting and insulating phases is well-established in twisted graphene bilayers, and they have also been reported in other arrangements of graphene layers. We investigate three such arrangements: untwisted AB…

Strongly Correlated Electrons · Physics 2021-08-11 Pierre A. Pantaleon , Tommaso Cea , Rory Brown , Niels R. Walet , Francisco Guinea

A structurally stable carbon allotrope with plentiful topological properties is predicted by means of first-principles calculations. This novel carbon allotrope possesses the simple space group C2/m, and contains simultaneously sp, sp2 and…

Materials Science · Physics 2019-07-18 Jing-Yang You , Xing-Yu Ma , Zhen Zhang , Kuan-Rong Hao , Qing-Bo Yan , Xian-Lei Sheng , Gang Su

Commonly materials are classified as either electrical conductors or insulators. The theoretical discovery of topological insulators (TIs) in 2005 has fundamentally challenged this dichotomy. In a TI, spin-orbit interaction generates a…

Kondo insulators are particularly simple type of heavy electron material, where a filled band of heavy quasiparticles gives rise to a narrow band insulator. Starting with the Anderson lattice Hamiltonian, we develop a topological…

Strongly Correlated Electrons · Physics 2013-05-29 Maxim Dzero , Kai Sun , Victor Galitski , Piers Coleman

Most recently, boron-graphdiyne, a {\pi}-conjugated two-dimensional (2D) structure made from merely sp carbon skeleton connected with boron atoms was successfully experimentally realized through a bottom-to-up synthetic strategy. Motivated…

Computational Physics · Physics 2018-05-14 Bohayra Mortazavi , Masoud Shahrokhi , Xiaoying Zhuang , Timon Rabczuk

We explore the edge properties of rectangular graphene nanoribbons featuring two zigzag edges and two armchair edges. Although the self-consistent Hartree-Fock fields break chiral symmetry, our work demonstrates that graphene nanoribbons…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Hyun Cheol Lee , S. -R. Eric Yang

We consider the stability of fragile topological bands protected by space-time inversion symmetry in the presence of strong electron-electron interactions. At the single-particle level, the topological nature of the bands prevents the…

Strongly Correlated Electrons · Physics 2022-02-21 Ari M. Turner , Erez Berg , Ady Stern

The moir\'e superlattice formed by ABC stacked trilayer graphene aligned with a hexagonal boron nitride substrate (TG/h-BN) provides an interesting system where both the bandwidth and the topology can be tuned by an applied perpendicular…

Strongly Correlated Electrons · Physics 2019-06-05 Ya-Hui Zhang , T. Senthil

Topology and electron interactions are two central themes in modern condensed matter physics. Here we propose graphene based systems where both the band topology and interaction effects can be simply controlled with electric fields. We…

Strongly Correlated Electrons · Physics 2019-02-20 Ya-Hui Zhang , Dan Mao , Yuan Cao , Pablo Jarillo-Herrero , T. Senthil

Non-Abelian topological charges (NATCs), characterized by their noncommutative algebra, offer a framework for describing multigap topological phases beyond conventional Abelian invariants. While higher-order topological phases (HOTPs) host…

Mesoscale and Nanoscale Physics · Physics 2026-05-15 Jiaxin Pan , Longwen Zhou

We investigate scattering of the topological surface state of a three-dimensional time-reversal invariant topological insulator when graphene is deposited on the topological-insulator surface. Specifically, we consider the (111) surface of…

Mesoscale and Nanoscale Physics · Physics 2017-03-29 Christophe De Beule , Mohammad Zarenia , Bart Partoens

Twisted graphene moire superlattice has been demonstrated as an exotic platform for investigating correlated states and nontrivial topology. Among the moire family, twisted double bilayer graphene (TDBG) is a tunable flat band system…

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