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We study topological properties of the Bose-Hubbard model with repulsive interactions in a one-dimensional optical superlattice. We find that the Mott insulator states of the single-component (two-component) Bose-Hubbard model under…

Quantum Gases · Physics 2015-06-15 Shi-Liang Zhu , Z. D. Wang , Y. -H. Chan , L. -M. Duan

We propose an experimental procedure to cool fermionic atoms loaded into an optical lattice. The central idea is to spatially divide the system into entropy-rich and -poor regions by shaping the confining potential profile. Atoms in regions…

The physical properties of arbitrary half-integer spins $F = N - 1/2$ fermionic cold atoms trapped in a one-dimensional optical lattice are investigated by means of a low-energy approach. Two different superfluid phases are found for $F \ge…

Strongly Correlated Electrons · Physics 2009-11-11 P. Lecheminant , E. Boulat , P. Azaria

We describe fluctuating two-dimensional metallic antiferromagnets by transforming to a rotating reference frame in which the electron spin polarization is measured by its projections along the local antiferromagnetic order. This leads to a…

Strongly Correlated Electrons · Physics 2010-03-22 Yang Qi , Subir Sachdev

We report on the realization of a quantum degenerate atomic Fermi gas in an optical lattice. Fermi surfaces of noninteracting fermions are studied in a three-dimensional lattice. Using a Feshbach resonance, we observe a coupling of the…

Strongly Correlated Electrons · Physics 2007-05-23 Thilo Stöferle , Henning Moritz , Christian Schori , Kenneth Günter , Michael Köhl , Tilman Esslinger

The abstract notion of topology has led to profound insights into real materials. Notably, the surface and edges of topological materials can host physics, such as unidirectional charge or spin transport, that is unavailable in isolated…

Mesoscale and Nanoscale Physics · Physics 2021-07-02 Nicodemos Varnava , Justin H. Wilson , J. H. Pixley , David Vanderbilt

Our understanding of topological insulators is based on an underlying crystalline lattice where the local electronic degrees of freedom at different sites hybridize with each other in ways that produce nontrivial band topology, and the…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Adhip Agarwala , Vijay B. Shenoy

Spinless fermions on highly frustrated lattices are characterized by a lowest single-particle band which is completely flat. Concrete realizations are provided by the sawtooth chain and the kagome lattice. For these models a real-space…

Strongly Correlated Electrons · Physics 2015-03-03 A. Honecker , J. Richter

Using continuous-space quantum Monte Carlo methods we investigate the zero-temperature ferromagnetic behavior of a two-component repulsive Fermi gas under the influence of periodic potentials that describe the effect of a simple-cubic…

Quantum Gases · Physics 2015-06-16 S. Pilati , I. Zintchenko , M. Troyer

We discuss the mechanisms of unconventional superconductivity and superfluidity in 3D and 2D fermionic systems with purely repulsive interaction at low densities. We construct phase diagrams of these systems and find the areas of the…

Superconductivity · Physics 2015-11-13 M. Yu. Kagan , V. A. Mitskan , M. M. Korovushkin

In this Letter we study various spin correlated insulating states of F=2 cold atoms in optical lattices. We find that the effective spin exchange interaction due to virtual hopping contains an {\em octopole} coupling between two neighboring…

Other Condensed Matter · Physics 2009-11-11 Fei Zhou , Gordon W. Semenoff

We construct a lattice theory describing a system of interacting nonrelativistic spin s=1/2 fermions at nonzero chemical potential. The theory is applicable whenever the interparticle separation is large compared to the range of the…

High Energy Physics - Lattice · Physics 2009-11-10 Jiunn-Wei Chen , David B. Kaplan

The cooperation of electronic correlation and spin-orbit coupling can stabilize magnetic topological insulators which host novel quantum phenomena such as the quantum anomalous Hall state also known as Chern insulator (CI). Here, we…

Strongly Correlated Electrons · Physics 2024-10-01 Mohsen Hafez-Torbati

We theoretically investigate the localization properties of a spin-orbit coupled spin-1/2 particle moving in a one-dimensional quasiperiodic potential, which can be experimentally implemented using cold atoms trapped in a quasiperiodic…

Quantum Gases · Physics 2015-06-15 Lu Zhou , Han Pu , Weiping Zhang

To realize non-Abelian s-wave topological superfluid (TS) of cold Fermi gases, generally a Zeeman magnetic field larger than superfluid pairing gap is necessary. In this paper we find that using an anisotropic and spin-dependent optical…

Quantum Gases · Physics 2015-06-05 Beibing Huang , Xiaosen Yang , Shaolong Wan

We develop a lattice model which exhibits topological transitions from $Z_2$ topological insulators to mirror symmetry-protected topological crystalline insulators by introducing additional spin-orbit coupling terms. The topological phase…

Quantum Gases · Physics 2025-05-29 Jing-Xin Liu , Jian-Te Wang , Shi-Liang Zhu

In a dipolar Fermi gas, the anisotropic interaction between electric dipoles can be turned into an effectively attractive interaction in the presence of a rotating electric field. We show that the topological $p_{x}+ip_{y}$ superfluid phase…

Quantum Gases · Physics 2013-05-30 Bo Liu , Lan Yin

Recently, the MnBi$_2$Te$_4$ material has been proposed as the first intrinsic antiferromagnetic topological insulator (AFMTI), where the interplay between magnetism and topology induces several fascinating topological phases, such as the…

Strongly Correlated Electrons · Physics 2020-11-26 Wei-Wei Yang , Yin Zhong , Hong-Gang Luo

Motivated by recent advances in the realization of complex two-dimensional optical lattices, we investigate theoretically the quantum transport of ultracold fermions in an optical kagome lattice. In particular, we focus on its extensively…

Quantum Gases · Physics 2014-07-25 Gia-Wei Chern , Chih-Chun Chien , Massimiliano Di Ventra

Motivated by the newly-discovered intercalated iron chalcogenide superconductors, we construct a single orbital tight-binding model for topological insulators on the square lattice with a perfect vacancy superstructure. We find that such…

Strongly Correlated Electrons · Physics 2015-03-19 Xiao-Yong Feng , Hua Chen , Chao Cao , Jianhui Dai
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