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The interplay between electronic correlations and band topology is a central theme in modern condensed matter physics. In this work, we investigate the effects of on-site Hubbard interactions on the topological, magnetic, and quantum…

Strongly Correlated Electrons · Physics 2025-10-01 Abdiel de Jesús Espinosa-Champo , Gerardo G. Naumis

Quasiperiodically driven fermionic systems can support topological phases not realized in equilibrium. The fermions are localized in the bulk, but support quantized energy currents at the edge. These phases were discovered through an…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 David M. Long , Philip J. D. Crowley , Anushya Chandran

We consider SU($3$) fermions on the triangular lattice in the presence of a gauge potential which stabilizes a quantum Hall insulator (QHI) at the density of one particle per lattice site. We investigate the effect of the Hubbard…

Strongly Correlated Electrons · Physics 2020-06-26 Mohsen Hafez-Torbati , Jun-Hui Zheng , Bernhard Irsigler , Walter Hofstetter

We use magnetotransport in dual-gated magnetic topological insulator heterostructures to map out a phase diagram of the topological Hall and quantum anomalous Hall effects as a function of the chemical potential (primarily determined by the…

Quantum phase transitions in the Hubbard model on the honeycomb lattice are investigated in the variational cluster approximation. The critical interaction for the paramagnetic to antiferromagnetic phase transition is found to be in…

Strongly Correlated Electrons · Physics 2012-09-11 K. Seki , Y. Ohta

We investigate the phase diagram of a one-dimensional model of hardcore bosons or spinless fermions with tunable nearest-neighbor interactions. By introducing alternating repulsive and attractive interactions on consecutive bonds, we show…

Quantum Gases · Physics 2025-08-18 Rajashri Parida , Diptiman Sen , Tapan Mishra

We investigate the effect of spin-orbit coupling on the band structure of graphene-based two-dimensional Dirac fermion gases in the quantum Hall regime. Taking monolayer graphene as our first candidate, we show that a quantum phase…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 Pierre Carmier , Oleksii Shevtsov , Christoph Groth , Xavier Waintal

We investigate the interaction between quantum anomalous Hall (QAH) phases hosted by two atomically thin hexagonal lattices and demonstrate the emergence of topological phases with large Chern numbers. Interlayer coupling between two…

Mesoscale and Nanoscale Physics · Physics 2025-12-02 H. Minh Lam , V. Nam Do

We propose a Haldane-BCS-Hubbard model on a honeycomb lattice, which is composed of two copies of the Haldane model of the quantum anomalous Hall effect, an equal-spin pairing term and an onsite Hubbard interaction term. For any interaction…

Strongly Correlated Electrons · Physics 2019-06-28 Jian-Jian Miao , Dong-Hui Xu , Long Zhang , Fu-Chun Zhang

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

A general mechanism is presented by which topological physics arises in strongly correlated systems without flat bands. Starting from a charge transfer insulator, topology emerges when the charge transfer energy between the cation and anion…

Strongly Correlated Electrons · Physics 2022-09-08 Trithep Devakul , Liang Fu

There has been a growing interest in realizing topologically nontrivial states of matter in band insulators, where a quantum Hall effect can appear as an intrinsic property of the band structure. While the on-going progress is under way…

Strongly Correlated Electrons · Physics 2016-07-20 W. Zhu , S. S. Gong , D. N. Sheng

Band-topology is traditionally analyzed in terms of gauge-invariant observables associated with crystalline Bloch wavefunctions. Recent work has demonstrated that many of the free fermion topological characteristics survive even in an…

Strongly Correlated Electrons · Physics 2023-01-20 Sunghoon Kim , Adhip Agarwala , Debanjan Chowdhury

The continuous quantum phase transition between noninteracting, time-reversal symmetric topological and trivial insulators in three dimensions is described by the massless Dirac fermion. We address the stability of this quantum critical…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Bitan Roy , Pallab Goswami , Jay D. Sau

We consider a system of spinless fermions on the honeycomb lattice with substrate-induced modulated electrostatic potentials tripling the unit cell. The resulting non-Abelian SU(2) gauge fields act cooperatively to realize a quadratic band…

Mesoscale and Nanoscale Physics · Physics 2016-01-29 Jörn W. F. Venderbos , Marco Manzardo , Dmitry V. Efremov , Jeroen van den Brink , Carmine Ortix

We consider the combined effects of large spin-orbit couplings and a perpendicular magnetic field in a 2D honeycomb fermionic lattice. This system provides an elegant setup to generate versatile spin textures propagating along the edge of a…

Mesoscale and Nanoscale Physics · Physics 2012-01-20 N. Goldman , W. Beugeling , C. Morais Smith

One of the most famous quantum systems with topological properties, the spin $\mathcal{S}=1$ antiferromagnetic Heisenberg chain, is well-known to display exotic $\mathcal{S}=1/2$ edge states. However, this spin model has not been analyzed…

Strongly Correlated Electrons · Physics 2023-12-25 A. Jażdżewska , M. Mierzejewski , M. Środa , A. Nocera , G. Alvarez , E. Dagotto , J. Herbrych

Magnetically doped topological insulators (TIs) exhibit two distinct phases: the quantum anomalous Hall (QAH) phase when the Fermi level resides within the surface gap, and a metallic phase outside the gap. The QAH phase hosts…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 Le Yi , Emma Steinebronn , Asmaul Smitha Rashid , Nitin Samarth , Ramy El-Ganainy , Sahin L. Ozdemir , Morteza Kayyalha

Heavy fermion materials naturally combine strong spin-orbit interactions and electronic correlations. When there is precisely one conduction electron per impurity spin, the coherent heavy fermion state is insulating. This Kondo insulating…

Strongly Correlated Electrons · Physics 2013-07-12 Jan Werner , Fakher F. Assaad

The quintessential two-dimensional lattice model that describes the competition between the kinetic energy of electrons and their short-range repulsive interactions is the repulsive Hubbard model. We study a time-reversal symmetric variant…

Strongly Correlated Electrons · Physics 2012-01-26 Titus Neupert , Luiz Santos , Shinsei Ryu , Claudio Chamon , Christopher Mudry