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While free fermion topological crystalline insulators have been largely classified, the analogous problem in the strongly interacting case has been only partially solved. In this paper, we develop a characterization and classification of…

Strongly Correlated Electrons · Physics 2024-02-26 Naren Manjunath , Vladimir Calvera , Maissam Barkeshli

Attractive interaction between spinless fermions in a two-dimensional lattice drives the formation of a topological superfluid. But the topological phase is dynamically unstable towards phase separation when the system has a high density of…

Quantum Gases · Physics 2021-10-04 Junhua Zhang , Sumanta Tewari , V. W. Scarola

The construction and classification of symmetry-protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Very recently, a complete classification and construction…

Strongly Correlated Electrons · Physics 2020-03-11 Jian-Hao Zhang , Qing-Rui Wang , Shuo Yang , Yang Qi , Zheng-Cheng Gu

Heavy fermion materials naturally combine strong spin-orbit interactions and electronic correlations. When there is precisely one conduction electron per impurity spin, the coherent heavy fermion state is insulating. This Kondo insulating…

Strongly Correlated Electrons · Physics 2013-07-12 Jan Werner , Fakher F. Assaad

Nonlocal interaction between ultracold atoms trapped in optical lattices can give rise to interesting quantum many-body phenomena. However, its realization usually demands unconventional techniques, for example the artificial gauge fields…

Quantum Gases · Physics 2023-04-11 Yu-Biao Wu , Zhen Zheng , Xiang-Gang Qiu , Lin Zhuang , Guang-Can Guo , Xu-Bo Zou , Wu-Ming Liu

Semimetals, in which conduction and valence bands touch but do not form Fermi surfaces, have attracted considerable interest for their anomalous properties starting with the discovery of Dirac matter in graphene and other two-dimensional…

Strongly Correlated Electrons · Physics 2018-09-11 Dennis Wawrzik , David Lindner , Maria Hermanns , Simon Trebst

The discovery of topological insulators in non-interacting electron systems has motivated the community to search such topological states of matter in correlated electrons both theoretically and experimentally. In this paper we investigate…

Strongly Correlated Electrons · Physics 2013-05-30 Minh-Tien Tran , Tetsuya Takimoto , Ki-Seok Kim

We study a one-dimensional interacting topological model by means of exact diagonalization method. The topological properties are firstly examined with the existence of the edge states at half-filling. We find that the topological phases…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Huaiming Guo , Shun-Qing Shen

Inside a three-dimensional strong topological insulator, a tube with $h/2e$ magnetic flux carries a pair of protected one-dimensional linear fermionic modes. This phenomenon is known as the "wormhole effect". In this work, we find that the…

Mesoscale and Nanoscale Physics · Physics 2020-11-04 Ming Gong , Ming Lu , Haiwen Liu , Hua Jiang , Qing-Feng Sun , X. C. Xie

We theoretically investigate a tight binding model of fermions hopping on the square-octagon lattice which consists of a square lattice with plaquette corners themselves decorated by squares. Upon the inclusion of second neighbor spin-orbit…

Strongly Correlated Electrons · Physics 2014-11-21 Mehdi Kargarian , Gregory A. Fiete

We consider two (2D) and three (3D) dimensional granular systems exposed to compression, and ask what is the influence of the number of physical dimensions on the properties of the interaction networks that spontaneously form as these…

Soft Condensed Matter · Physics 2022-03-22 L. Kovalcinova , A. Taranto , L. Kondic

We present a dimensional reduction argument to derive the classification reduction of fermionic symmetry protected topological phases in the presence of interactions. The dimensional reduction proceeds by relating the topological character…

Strongly Correlated Electrons · Physics 2016-11-15 Raquel Queiroz , Eslam Khalaf , Ady Stern

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Periodic boundary conditions are a common theoretical and computational tool used to emulate effectively infinite domains. However, two-dimensional periodic domains are topologically distinct from the infinite plane, eliciting the question:…

Soft Condensed Matter · Physics 2025-10-07 Cody D. Schimming

In the past decade, tremendous efforts have been made towards understanding fermionic symmetry protected topological (FSPT) phases in interacting systems. Nevertheless, for systems with continuum symmetry, e.g., electronic insulators, it is…

Strongly Correlated Electrons · Physics 2023-09-12 Qing-Rui Wang , Yang Qi , Chen Fang , Meng Cheng , Zheng-Cheng Gu

Much interest in the superconducting proximity effect in three-dimensional (3D) topological insulators (TIs) has been driven by the potential to induce Majorana bound states at the interface. Most candidate materials for 3D TI, however, are…

Superconductivity · Physics 2014-12-10 Kyungmin Lee , Abolhassan Vaezi , Mark H. Fischer , Eun-Ah Kim

This paper investigates the influence of interfaces on the performance of finite-sized mechanical metamaterial structures for vibration damping applications. The metamaterial structures are designed in a sandwich configuration in which two…

Applied Physics · Physics 2026-04-30 Svenja Hermann , Kévin Billon , Manuel Collet , Angela Madeo

Higher order topological insulators are a new class of topological insulators in dimensions $\rm d>1$. These higher-order topological insulators possess $\rm (d - 1)$-dimensional boundaries that, unlike those of conventional topological…

Mesoscale and Nanoscale Physics · Physics 2021-07-05 Arijit Saha , Arun M. Jayannavar

The detection of topological phases of matter becomes a central issue in recent years. Conventionally, the realization of a specific topological phase in condensed matter physics relies on probing the underlying surface band dispersion or…

Quantum Physics · Physics 2020-09-02 Tao Xin , Yishan Li , Yu-ang Fan , Xuanran Zhu , Yingjie Zhang , Xinfang Nie , Jun Li , Qihang Liu , Dawei Lu

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
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