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Our current understanding of strongly correlated electron systems is based on a homogeneous framework. Here we take a step going beyond this paradigm by incorporating inhomogeneity from the beginning. Specifying to systems near the Mott…

Strongly Correlated Electrons · Physics 2016-05-12 Jian-Huang She , A. R. Bishop , Alexander V. Balatsky

When a topological insulator (TI) is in contact with a ferromagnet, both time reversal and inversion symmetries are broken at the interface. An energy gap is formed at the TI surface, and its electrons gain a net magnetic moment through…

Mesoscale and Nanoscale Physics · Physics 2016-07-15 Changmin Lee , Ferhat Katmis , Pablo Jarillo-Herrero , Jagadeesh S. Moodera , Nuh Gedik

A wide variety of two-dimensional electron systems (2DES) allow for independent control of the total and relative charge density of two-component fractional quantum Hall (FQH) states. In particular, a recent experiment on bilayer graphene…

Strongly Correlated Electrons · Physics 2018-07-18 Maissam Barkeshli , Chetan Nayak , Zlatko Papić , Andrea Young , Michael Zaletel

In magnetic insulators, the sense of rotation of the magnetization is associated with novel phases of matter and exotic transport phenomena. Aimed to find new sources of chiral magnetism rooted in intrinsic fields and geometry, twisted…

Materials Science · Physics 2024-03-05 Ignacio Tapia , Xavier Cazor , Paula Mellado

We propose searching for Chern insulators by depositing atomic layers of elements with large spin-orbit coupling (e.g., Bi) on the surface of a magnetic insulator. We argue that such systems will typically have isolated surface bands with…

Materials Science · Physics 2013-04-16 Kevin F. Garrity , David Vanderbilt

Using accurate first-principles calculations based on many-body perturbation theory we predict that two-dimensional MoS$_2$ hosts edge excitons with universal character, intrinsic to the existence of edges and lying well below the onset of…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 Pino D'Amico , Marco Gibertini , Deborah Prezzi , Daniele Varsano , Andrea Ferretti , Nicola Marzari , Elisa Molinari

We show that interacting electrons in a flat Chern band can form, in addition to fractional Chern insulators, a chiral $f$-wave topological superconductor that hosts neutral Majorana fermion edge modes. Superconductivity emerges from an…

Superconductivity · Physics 2025-10-23 Daniele Guerci , Ahmed Abouelkomsan , Liang Fu

Transition--metal dichalcogenides (TMDs) uniquely combine topological electronic states realized without external magnetic fields with a strong optical response arising from long--lived excitons. Motivated by this confluence, we investigate…

Strongly Correlated Electrons · Physics 2026-04-28 Tianhong Lu , Luiz H. Santos

Twisted bilayer transition metal dichalcogenides, such as MoTe$_2$, provide a versatile platform for exploring correlated topological phases. This work investigates the interplay of perpendicular magnetic and electric fields in tuning the…

Strongly Correlated Electrons · Physics 2025-08-27 Tianhong Lu , Yi-Ming Wu , Luiz H. Santos

The indirect exchange interaction between local magnetic moments via surface electrons has been long predicted to bolster the surface ferromagnetism in magnetic topological insulators (MTIs), which facilitates the quantum anomalous Hall…

We perform a multi-band exact diagonalization (ED) study of rhombohedral pentalayer graphene twisted on hexagonal boron nitride with a focus on fractional Chern insulators (FCI) in systems with weak moir\'e gaps, complementing the results…

Strongly Correlated Electrons · Physics 2025-08-26 Heqiu Li , B. Andrei Bernevig , Nicolas Regnault

We theoretically study the magnetoresistance (MR) of two-dimensional massless Dirac electrons as found on the surface of three-dimensional topological insulators (3D TIs) that is capped by a ferromagnetic insulator (FI). We calculate charge…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Takahiro Chiba , Saburo Takahashi , Gerrit E. W. Bauer

The Kohn-Sham density functional method for the fractional quantum Hall (FQH) effect has recently been developed by mapping the strongly interacting electrons into an auxiliary system of weakly interacting composite fermions (CFs) that…

Strongly Correlated Electrons · Physics 2024-12-04 Yi Yang , Songyang Pu , Yayun Hu , Zi-Xiang Hu

Topological magnons are bosonic analogues of topological fermions in electronic systems. They have been studied extensively by theory but rarely realized by experiment. Here, by performing inelastic neutron scattering measurements on single…

Some well-established examples of itinerant-electron ferromagnetism in one dimension occur in a Mott-insulating phase. We examine the consequences of doping a ferromagnetic insulator and cou- pling magnons to gapless charge fluctuations.…

Strongly Correlated Electrons · Physics 2015-04-28 Hudson Pimenta , Luiz N. Oliveira , Rodrigo G. Pereira

The stability of $\nu=1/3$ Fractional Chern Insulator (FCI) phase is analysed on the example of checkerboard lattice undergoing a transition into Lieb lattice. The transition is performed by the addition of a second sublattice, whose…

Strongly Correlated Electrons · Physics 2016-08-08 Błażej Jaworowski , Paweł Potasz , Andrei Manolescu

Fractional Chern insulators (FCIs) are zero magnetic field analogs of fractional quantum Hall states. While the electrons forming an FCI are not subject to an external magnetic field, their anyonic excitations experience a magnetic field…

Mesoscale and Nanoscale Physics · Physics 2026-04-29 Kishore Iyer , Andreas Feuerpfeil , Valentin Crépel , Nicolas Regnault , Christophe Mora

High-order topological insulators (HOTIs), as generalized from topological crystalline insulators (TCIs), are characterized with lower-dimensional metallic boundary states protected by spatial symmetries of a crystal, whose theoretical…

Materials Science · Physics 2022-08-02 Citian Wang , Feng Liu , Huaqing Huang

We propose a set of schemes to create and probe fractionally charged excitations of a fractional Chern insulator state in an optical lattice. This includes the creation of localized quasiparticles and quasiholes using both static local…

Quantum Gases · Physics 2019-01-03 Mantas Račiūnas , F. Nur Ünal , Egidijus Anisimovas , André Eckardt