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Ultracold atom experiments allow the study of topological insulators, such as the noninteracting Haldane model. In this work we study a generalization of the Haldane model with spin-spin on-site interactions that can be implemented on such…

Strongly Correlated Electrons · Physics 2018-05-04 A. Rubio-García , J. J. García-Ripoll

Photonic topological materials with a broken time reversal symmetry are characterized by nontrivial topological phases, such that they do not support propagation in the bulk region but forcibly support a nontrivial net number of…

Applied Physics · Physics 2021-10-11 Filipa R. Prudêncio , Mário G. Silveirinha

Knowledge of phase diagrams is essential for material design as it helps in understanding microstructure evolution during processing. The determination of phase diagrams is thus one of the central tasks in materials science. When exploring…

Materials Science · Physics 2022-03-08 Guillaume Deffrennes , Kei Terayama , Taichi Abe , Ryo Tamura

We propose an experimental scheme to simulate and detect the properties of time-reversal invariant topological insulators, using cold atoms trapped in one-dimensional bichromatic optical lattices. This system is described by a…

Quantum Gases · Physics 2012-01-30 Feng Mei , Shi-Liang Zhu , Zhi-Ming Zhang , C. H. Oh , N. Goldman

We study topological properties and the topological phase transitions therein for a semi-Dirac Haldane model on a honeycomb lattice in presence of an extended range (third neighbour) hopping. While in the absence of a third neighbour…

Mesoscale and Nanoscale Physics · Physics 2022-07-13 Sayan Mondal , Saurabh Basu

We present a general analysis of two-dimensional optical lattice models that give rise to topologically non-trivial insulating states. We identify the main ingredients of the lattice models that are responsible for the non-trivial…

Quantum Gases · Physics 2010-07-13 Tudor D. Stanescu , Victor Galitski , S. Das Sarma

Higher-order topological phases (HOTPs) hold gapped bulk bands and topological boundary states localized in boundaries with codimension higher than one. In this paper, we provide a unified construction and topological characterization of…

Mesoscale and Nanoscale Physics · Physics 2022-12-09 Zhoutao Lei , Yuangang Deng , Linhu Li

Topological orders are a class of phases of matter that beyond the Landau symmetry breaking paradigm. The two (spatial) dimensional (2d) topological orders have been thoroughly studied. It is known that they can be fully classified by a…

Strongly Correlated Electrons · Physics 2021-11-30 Wenjie Xi , Ya-Lei Lu , Tian Lan , Wei-Qiang Chen

Many real-world networks exhibit hierarchical, tree-like structure and heavy-tailed degree distributions, phenomena not readily captured by standard statistical models for network data. Extensions of the popular continuous latent space…

Methodology · Statistics 2026-05-13 Yiwei Gong , Anna L. Smith , Dena Asta , Catherine A. Calder

The lattice thermal conductivity ($\kappa_{\rm L} $) is a critical property of thermoelectrics, thermal barrier coating materials and semiconductors. While accurate empirical measurements of $\kappa_{\rm L} $ are extremely challenging, it…

Materials Science · Physics 2019-08-06 Lihua Chen , Huan Tran , Rohit Batra , Chiho Kim , Rampi Ramprasad

We generalize the Hamiltonian Monte Carlo algorithm with a stack of neural network layers and evaluate its ability to sample from different topologies in a two dimensional lattice gauge theory. We demonstrate that our model is able to…

High Energy Physics - Lattice · Physics 2021-05-10 Sam Foreman , Xiao-Yong Jin , James C. Osborn

Motivated by the recent experimental realization of the Haldane model by ultracold fermions in an optical lattice, we investigate phase diagrams of the hard-core Bose-Hubbard model on a honeycomb lattice. This model is closely related with…

Quantum Gases · Physics 2017-08-02 T. Nakafuji , I. Ichinose

A study of the thermal properties of two-dimensional topological lattice models is presented. This work is relevant to assess the usefulness of these systems as a quantum memory. For our purposes, we use the topological mutual information…

Mesoscale and Nanoscale Physics · Physics 2010-01-25 S. Iblisdir , D. Perez-Garcia , M. Aguado , J. Pachos

We show that one-dimensional quasi-periodic optical lattice systems can exhibit edge states and topological phases which are generally believed to appear in two-dimensional systems. When the Fermi energy lies in gaps, the Fermi system on…

Quantum Gases · Physics 2012-08-02 Li-Jun Lang , Xiaoming Cai , Shu Chen

The half-Heusler compound has drawn attention in a variety of fields as a candidate material for thermoelectric energy conversion and spintronics technology. This is because it has various electronic structures, such as semi-metals,…

Topology optimization is widely used by engineers during the initial product development process to get a first possible geometry design. The state-of-the-art is the iterative calculation, which requires both time and computational power.…

Machine Learning · Computer Science 2021-09-30 Alex Halle , L. Flavio Campanile , Alexander Hasse

Domain walls between different topological phases are one of the most interesting phenomena that reveal the non-trivial bulk properties of topological phases. Very recently, gapped domain walls between different topological phases have been…

Strongly Correlated Electrons · Physics 2022-05-19 Chenfeng Bao , Shuo Yang , Chenjie Wang , Zheng-Cheng Gu

We present an exact analytical investigation of the topological properties and edge states of the Haldane model defined on a honeycomb lattice with zigzag edges. By exploiting translational symmetry along the ribbon direction, we perform a…

Mesoscale and Nanoscale Physics · Physics 2025-05-28 Ghassan Al-Mahmood , Mohsen Amini , Ebrahim Ghanbari-Adivi , Morteza Soltani

Periodic stacking of topologically trivial and non-trivial layers with opposite symmetry of the valence and conduction bands induces topological interface states that, in the strong coupling limit, hybridize both across the topological and…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 G. Krizman , B. A. Assaf , G. Bauer , G. Springholz , L. A. de Vaulchier , Y. Guldner

We investigate Luttinger Liquid superlattices, a periodic structure composed of two kinds of one-dimensional systems of interacting electrons. We calculate several properties of the low-energy sector: the effective charge and spin…

Strongly Correlated Electrons · Physics 2007-05-23 J. Silva-Valencia , E. Miranda , Raimundo R. dos Santos
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