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We identify the existence of various symmetry-protected topological states in one-dimensional superlattices with periodically modulated hopping amplitudes or on-site potentials, which can be characterized by the quantized Berry phase $\pi$…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Huaiming Guo , Shu Chen

We study different phases of the one-dimensional bond-alternating spin-$1/2$ Heisenberg model by using the symmetry fractionalization mechanism. We employ the infinite matrix-product state representation of the ground state (through the…

Strongly Correlated Electrons · Physics 2014-10-20 R. Haghshenas , A. Langari , A. T. Rezakhani

We discuss the existence of a nontrivial topological phase in one-dimensional interacting systems described by the extended Bose-Hubbard model with a mean filling of one boson per site. Performing large-scale density-matrix renormalization…

Quantum Gases · Physics 2014-07-11 Satoshi Ejima , Florian Lange , Holger Fehske

We propose that ultracold alkaline-earth-like atoms confined in one-dimensional optical lattice can realize a Kondo lattice model which hosts a symmetry-protected topological (SPT) phase and an associated quantum phase transition in a…

Quantum Gases · Physics 2017-10-25 Masaya Nakagawa , Norio Kawakami

Symmetry protected topological (SPT) phases are gapped short-range-entangled quantum phases with a symmetry G. They can all be smoothly connected to the same trivial product state if we break the symmetry. The Haldane phase of spin-1 chain…

Strongly Correlated Electrons · Physics 2013-09-03 Xie Chen , Zheng-Cheng Gu , Zheng-Xin Liu , Xiao-Gang Wen

We study two-dimensional bosonic symmetry protected topological (SPT) phases which are protected by reflection symmetry and local symmetry [$Z_N\rtimes R$, $Z_N\times R$, U(1)$\rtimes R$, or U(1)$\times R$], in the search for…

Strongly Correlated Electrons · Physics 2015-12-18 Tsuneya Yoshida , Takahiro Morimoto , Akira Furusaki

We propose to realize one-dimensional topological phases protected by SU($N$) symmetry using alkali or alkaline-earth atoms loaded into a bichromatic optical lattice. We derive a realistic model for this system and investigate it…

Strongly Correlated Electrons · Physics 2019-02-20 P. Fromholz , S. Capponi , P. Lecheminant , D. J. Papoular , K. Totsuka

Using density matrix renormalization group numerical calculations, we study the phase diagram of the half filled Bose-Hubbard system in the sawtooth lattice with strong frustration in the kinetic energy term. We focus in particular on…

Quantum Gases · Physics 2017-05-03 Benoît Grémaud , G. George Batrouni

Symmetry-protected topological (SPT) phases of matter have been the focus of many recent theoretical investigations, but controlled mechanisms for engineering them have so far been elusive. In this work, we demonstrate that by driving…

Strongly Correlated Electrons · Physics 2015-09-07 Thomas Iadecola , Luiz H. Santos , Claudio Chamon

We theoretically demonstrate that interacting symmetry-protected topological (SPT) phases can be realized with ultracold spinful bosonic atoms loaded on the lattices which have a flat band at the bottom of the band structure. Ground states…

Quantum Gases · Physics 2021-06-18 Hong Yang , Hayate Nakano , Hosho Katsura

We make a systematic study of symmetry-protected topological gapped phases of quantum spin chains in the presence of the frieze space groups in one dimension using matrix product states. Here, the spatial symmetries of the one-dimensional…

Strongly Correlated Electrons · Physics 2023-03-29 Bram Vancraeynest-De Cuiper , Jacob C. Bridgeman , Nicolas Dewolf , Jutho Haegeman , Frank Verstraete

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

We discuss the characterization and stability of the Haldane phase in integer spin chains on the basis of simple, physical arguments. We find that an odd-$S$ Haldane phase is a topologically non-trivial phase which is protected by any one…

Strongly Correlated Electrons · Physics 2012-03-22 Frank Pollmann , Erez Berg , Ari M. Turner , Masaki Oshikawa

We propose a realizable experiment scheme to construct a one-dimensional synthetic magnetic flux lattice with spin-tensor-momentum coupled spin-1 atoms and explore its exotic topological states. Different from the Altland-Zirnbauer…

Quantum Gases · Physics 2020-07-14 Zhoutao Lei , Yuangang Deng , Chaohong Lee

Recent experiments on ultracold dipoles in optical lattices open exciting possibilities for the quantum simulation of extended Hubbard models. When considered in one dimension, these models present at unit filling a particularly interesting…

We investigate the groundstate properties of a recently proposed model for a topological Kondo insulator in one dimension (i.e., the $p$-wave Kondo-Heisenberg lattice model) by means of the Density Matrix Renormalization Group method. The…

Strongly Correlated Electrons · Physics 2015-12-02 Alejandro Mezio , Alejandro M. Lobos , Ariel O. Dobry , Claudio J. Gazza

We investigate the existence of symmetry-protected topological phases in one-dimensional alkaline-earth cold fermionic atoms with general half-integer nuclear spin I at half filling. In this respect, some orbital degrees of freedom are…

Strongly Correlated Electrons · Physics 2013-05-20 H. Nonne , M. Moliner , S. Capponi , P. Lecheminant , K. Totsuka

We review the basic properties of the Haldane phase in spin-1 Heisenberg antiferromagnetic chains, including its persistence in quasi-one-dimensional geometries. Using large-scale numerical simulations, we map out the phase diagram for a…

Strongly Correlated Electrons · Physics 2015-01-05 Keola Wierschem , Pinaki Sengupta

We propose an exotic scenario that topological superconductivity can emerge by doping strongly interacting fermionic systems whose spin degrees of freedom form bosonic symmetry protected topological (SPT) state. Specifically, we study a…

Strongly Correlated Electrons · Physics 2020-05-27 Shang-Qiang Ning , Zheng-Xin Liu , Hong-Chen Jiang

Motivated by intertwined crystal symmetries and topological phases, we study the possible realization of topological insulator in nonsymmorphic crystals at integer fillings. In particular, we consider spin orbit coupled electronic systems…

Strongly Correlated Electrons · Physics 2019-05-01 Hyeok-Jun Yang , SungBin Lee
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