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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 design an interaction-driven topological insulator for fermionic cold atoms in an optical lattice, that is, we pose the question of whether we can realize in a continuous space a spontaneous symmetry breaking induced by the inter-atom…

Quantum Gases · Physics 2015-07-24 Sota Kitamura , Naoto Tsuji , Hideo Aoki

We investigate properties of a topological Mott insulator in one dimension by examining the bulk topological invariant and the entanglement spectrum of a correlated electron model. We clarify how gapless edge states in a non-interacting…

Strongly Correlated Electrons · Physics 2014-06-10 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

We present exactly solvable examples that topological Mott insulators can emerge from topologically trivial states due to strong interactions between atoms for atomic mixtures trapped in one-dimensional optical superlattice systems. The…

Quantum Gases · Physics 2013-07-22 Zhihao Xu , Shu Chen

We study interaction-induced Mott insulators, and their topological properties in a 1D non-Hermitian strongly-correlated spinful fermionic superlattice system with either nonreciprocal hopping or complex-valued interaction. For the…

Strongly Correlated Electrons · Physics 2021-01-13 Tao Liu , James Jun He , Tsuneya Yoshida , Ze-Liang Xiang , Franco Nori

We analyze interacting ultra-cold bosonic atoms in a one-dimensional (1D) super-lattice potential with alternating tunneling rates t_1 and t_2 and inversion symmetry, which is the bosonic analogue of the Su-Schrieffer-Heeger (SSH) model. A…

Quantum Gases · Physics 2014-10-08 Fabian Grusdt , Michael Höning , Michael Fleischhauer

Symmetry protected topological (SPT) phases in free fermion and interacting bosonic systems have been classified, but the physical phenomena of interacting fermionic SPT phases have not been fully explored. Here, employing large-scale…

Strongly Correlated Electrons · Physics 2016-10-21 Han-Qing Wu , Yuan-Yao He , Yi-Zhuang You , Tsuneya Yoshida , Norio Kawakami , Cenke Xu , Zi Yang Meng , Zhong-Yi Lu

We study the topological properties of an extended Bose-Hubbard model with cyclically modulated hopping and on-site potential parameters, which can be realized with ultracold bosonic atoms in a one-dimensional optical superlattice. We show…

Quantum Gases · Physics 2020-02-17 Yu-Lian Chen , Guo-Qing Zhang , Dan-Wei Zhang , Shi-Liang Zhu

The topological Anderson and Mott insulators are two phases that have so far been separately and widely explored beyond topological band insulators. Here we combine the two seemingly different topological phases into a system of spin-1/2…

Quantum Gases · Physics 2021-11-10 Guo-Qing Zhang , Ling-Zhi Tang , Ling-Feng Zhang , Dan-Wei Zhang , Shi-Liang Zhu

In this paper, we study a one-dimensional boson system in a superlattice potential.This system is experimentally feasible by using ultracold atomic gases,and attracts much attention these days. It is expected that the system has a…

Quantum Gases · Physics 2017-12-18 Yoshihito Kuno , Keita Shimizu , Ikuo Ichinose

We use quantum Monte Carlo and exact diagonalization calculations to study the Mott-insulator to superconductor quantum phase transition in a two-dimensional fermionic Hubbard model with attractive interactions in the presence of a…

Strongly Correlated Electrons · Physics 2015-10-07 Rubem Mondaini , Predrag Nikolic , Marcos Rigol

We study various Mott insulating phases of interacting spin-3/2 fermionic ultracold atoms in two-dimensional square optical lattices at half filling. Using a generalized one-band Hubbard model with hidden SO(5) symmetry, we identify two…

Strongly Correlated Electrons · Physics 2009-11-13 Hong-Hao Tu , Guang-Ming Zhang , Lu Yu

We analyze various quantum phases of ultracold bosonic atoms in a periodic one dimensional optical superlattice. Our studies have been performed using the finite size density matrix renormalization group (FS-DMRG) method in the framework of…

Quantum Gases · Physics 2015-05-27 Arya Dhar , Tapan Mishra , Ramesh V. Pai , B. P. Das

Mott insulators with a half-filled band of electrons on the triangular lattice have been recently studied in a variety of organic compounds. All of these compounds undergo transitions to metallic/superconducting states under moderate…

Strongly Correlated Electrons · Physics 2008-05-09 Yang Qi , Subir Sachdev

We introduce a lattice field theory that describes the transition between a superfluid (SF) and a bosonic topological Mott Insulator (tMI) -- a $U(1)$ symmetry protected topological phase labeled by an integer level $k$ and possessing an…

Strongly Correlated Electrons · Physics 2021-12-07 Michael A. DeMarco , Ethan Lake , Xiao-Gang Wen

We study one-dimensional, interacting, gapped fermionic systems described by variants of the Peierls-Hubbard model and characterize their phases via a topological invariant constructed out of their Green's functions. We demonstrate that the…

Strongly Correlated Electrons · Physics 2012-11-19 Salvatore R. Manmana , Andrew M. Essin , Reinhard M. Noack , Victor Gurarie

We investigate ground state properties of spin-1 bosonic system trapped in optical lattice with extended standard basis operator (SBO) method. For both ferromagnetic ($U_2<0$) and antiferromagnetic ($U_2>0$) systems, we analytically figure…

Quantum Physics · Physics 2018-04-18 Min-Jie Zhu , Bo Zhao

In a solid material strong interactions between the electrons can lead to surprising properties. A prime example is the Mott insulator, where the suppression of conductivity is a result of interactions and not the consequence of a filled…

Other Condensed Matter · Physics 2010-01-21 Robert Jördens , Niels Strohmaier , Kenneth Günter , Henning Moritz , Tilman Esslinger

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of spin-1 bosons trapped in a square optical lattice. The phase diagram is characterized by the mobility of the particles (Mott insulating or superfluid…

Quantum Gases · Physics 2015-06-16 L. de Forges de Parny , F. Hébert , V. G. Rousseau , G. G. Batrouni

We present a simple scheme for implementing a one-dimensional (1D) magnetic-flux lattice of ultracold fermionic spin-$1/2$ atoms. The resulting tight-binding model supports gapped and gapless topological phases, and chiral currents for…

Quantum Gases · Physics 2017-11-02 Y. Deng , R. Lü , L. You
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