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In this letter, we analyze the topological response of a fermionic model defined on the Lieb lattice in presence of an electromagnetic field. The tight-binding model is built in terms of three species of spinless fermions and supports a…

Strongly Correlated Electrons · Physics 2018-02-23 N. Menezes , C. Morais Smith , Giandomenico Palumbo

Four-Fermi quantum field theories in (2+1) dimensions lie among the simplest models in high-energy physics, the understanding of which requires a non-perturbative lattice formulation addressing their strongly-coupled fixed points. These…

Quantum Gases · Physics 2022-09-19 L. Ziegler , E. Tirrito , M. Lewenstein , S. Hands , A. Bermudez

The search for topologically non-trivial states of matter has become an important goal for condensed matter physics. Recently, a new class of topological insulators has been proposed. These topological insulators have an insulating gap in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Markus Koenig , Hartmut Buhmann , Laurens W. Molenkamp , Taylor L. Hughes , Chao-Xing Liu , Xiao-Liang Qi , Shou-Cheng Zhang

We study the effects of spin orbit interactions on the low energy electronic structure of a single plane of graphene. We find that in an experimentally accessible low temperature regime the symmetry allowed spin orbit potential converts…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 C. L. Kane , E. J. Mele

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban

Mott insulators are commonly pictured with electrons localized on lattice sites. Their low-energy degrees of freedom involve spins only. Here we observe emerging charge degrees of freedom in a molecule-based Mott insulator…

We present a new theoretical approach to the study of $\nu=1$ quantum Hall bilayer that is based on a systematic mapping of the microscopic Hamiltonian to an anisotropic SU(4) spin model on a lattice. To study the properties of this model…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. A. Burkov , A. H. MacDonald

We study the quantum phase diagram of spinful fermions on kagome lattice with half-filled lowest flat bands. To understand the competition between magnetism, flat band frustration, and repulsive interactions, we adopt an extended $t$-$J$…

Strongly Correlated Electrons · Physics 2021-03-24 Yafei Ren , Hong-Chen Jiang , Zhenhua Qiao , D. N. Sheng

We apply the finite-temperature variational cluster approach to a strongly correlated and spin-orbit coupled model for four electrons (i.e. two holes) in the $t_{2g}$ subshell. We focus on parameters suitable for antiferromagnetic Mott…

Strongly Correlated Electrons · Physics 2021-07-21 Jan Lotze , Maria Daghofer

We study the many-body instabilities of correlated electrons on the half-filled honeycomb lattice with enhanced exchange coupling. The system is described by an extended Hubbard model including the next-nearest-neighbor Coulomb repulsion…

Strongly Correlated Electrons · Physics 2023-03-21 Ye-Un An , Song-Jin O , Kwang-Il Ryom , Il-Gwang Son

We develop a first quantization description of fractional Chern insulators that is the dual of the conventional fractional quantum Hall (FQH) problem, with the roles of position and momentum interchanged. In this picture, FQH states are…

Strongly Correlated Electrons · Physics 2015-06-15 Martin Claassen , Ching Hua Lee , Ronny Thomale , Xiao-Liang Qi , Thomas P. Devereaux

We investigate electronic correlation effects on edge states of quantum spin-Hall insulators within the Kane-Mele-Hubbard model by means of quantum Monte Carlo simulations. Given the U(1) spin symmetry and time-reversal invariance, the…

Strongly Correlated Electrons · Physics 2012-02-23 M. Hohenadler , F. F. Assaad

We have performed low-temperature transport measurements on a GaAs two-dimensional electron system at low magnetic fields. Multiple temperature-independent points and accompanying oscillations are observed in the longitudinal resistivity…

Mesoscale and Nanoscale Physics · Physics 2008-09-08 Tsai-Yu Huang , C. -T. Liang , Gil-Ho Kim , C. F. Huang , Chao-Ping Huang , Jyun-Ying Lin , Hsi-Sheng Goan , D. A. Ritchie

We demonstrate that a Chern insulator could be realized on a real two-dimensional lattice of an organic Dirac semimetal {\alpha}-(BEDT-TTF)2I3 by introducing potential and magnetic modulations in a unit cell. It is a…

Materials Science · Physics 2017-11-22 Toshihito Osada

Thermodynamic and dynamical properties of a model of Dirac fermions with a deconfined quantum critical point (DQCP) separating an interaction-generated quantum spin-Hall insulator from an s-wave superconductor [Nature Comm.~{\bf 10}, 2658…

Strongly Correlated Electrons · Physics 2022-07-14 Martin Hohenadler , Yuhai Liu , Toshihiro Sato , Zhenjiu Wang , Wenan Guo , Fakher F. Assaad

We study intersubband spin density collective modes in double-layer quantum Hall systems at $\nu=2$ within the time-dependent Hartree-Fock approximation. We find that these intersubband spin density excitations may soften under…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Lian Zheng , R. J. Radtke , S. Das Sarma

We study the phase transition between the quantum Hall liquid state and the insulating state within the framework of the Chern-Simons-Landau-Ginzburg theory of the quantum Hall effect. For the transition induced by a background periodic…

Condensed Matter · Physics 2009-10-22 Leonid Pryadko , Shou-Cheng Zhang

In this paper, based on the formulation of an O(3) non-linear sigma model, we study the two-dimensional Pi-flux Hubbard model at half-filling. A quantum non-magnetic insulator is explored near the metal-insulator transition that may be a…

Strongly Correlated Electrons · Physics 2015-04-28 Gao-Yong Sun , Su-Peng Kou

The quantum spin Hall effect (QSHE), a hallmark of topological insulators, enables dissipationless, spin-polarized edge transport and has been predicted in various two-dimensional materials. However, challenges such as limited scalability,…

Non-collinear Kagome antiferromagnets (AFMs) Mn3X (X = Sn, Ga, Ge, Ir, Pt) can generate an anomalous Hall effect (AHE) despite vanishing net magnetization, enabled by broken time-reversal and inversion symmetries. However, strong in-plane…