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We define Wannier functions for interacting systems, and show that the results on the localization of the Wannier functions for non-interacting systems carry over to the Wannier functions for interacting systems. In addition we demonstrate…

强关联电子 · 物理学 2009-11-07 Erik Koch , Stefan Goedecker

Local topological markers, topological invariants evaluated by local expectation values, are valuable for characterizing topological phases in materials lacking translation invariance. The Chern marker -- the Chern number expressed in terms…

介观与纳米尺度物理 · 物理学 2023-01-11 Julia D. Hannukainen , Miguel F. Martinez , Jens H. Bardarson , Thomas Klein Kvorning

We propose to use generic Chern numbers for a characterization of topological insulators. It is suitable for a numerical characterization of low dimensional quantum liquids where strong quantum fluctuations prevent from developing…

强关联电子 · 物理学 2009-11-10 Yasuhiro Hatsugai

We introduce two dimensional fermionic band models with two orbitals per lattice site, or one spinful orbital, and which have a non-zero topological Chern number that can be changed by varying the ratio of hopping parameters. A…

强关联电子 · 物理学 2013-02-14 Miguel A. N. Araújo , Eduardo V. Castro , Pedro D. Sacramento

Integer-valued topological indices, characterizing nonlocal properties of quantum states of matter, are known to directly predict robust physical properties of equilibrium systems. The Chern number, e.g., determines the quantized Hall…

The question whether Anderson insulators can persist to finite-strength interactions - a scenario dubbed many-body localization - has recently received a great deal of interest. The origin of such a many-body localized phase has been…

无序系统与神经网络 · 物理学 2013-09-18 Bela Bauer , Chetan Nayak

By means of exact diagonalizations, the Bernevig-Hughes-Zhang model at quarter-filling in the limit of strong Hubbard on-site repulsion is investigated. We find that the non-interacting metallic state will be turned into a Chern insulator…

强关联电子 · 物理学 2025-04-09 Yu-Chin Tzeng , Po-Yao Chang , Min-Fong Yang

A common wisdom about quantum many-body systems is that emergent phases typically fall into either the Landau-Ginzburg paradigm or topological classifications. Experimentally realizing the intertwined emergence of spontaneous symmetry…

量子气体 · 物理学 2025-07-04 Lei Chen , Bei-Bei Wang , Jianmin Yuan , Long Zhang , Jinsen Han , Yongqiang Li

The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy physics and quantum information science. In this work, we…

强关联电子 · 物理学 2022-09-19 E. Tirrito , S. Hands , A. Bermudez

We investigate spontaneous and pumped entanglement of two level systems in the vicinity of a photonic topological insulator interface, which supports a nonreciprocal (unidirectional), scattering-immune and topologically-protected surface…

量子物理 · 物理学 2018-05-25 S. Ali Hassani Gangaraj , George W. Hanson , Mauro Antezza

The interplay among topology, disorder, and non-Hermiticity can induce some exotic topological and localization phenomena. Here we investigate this interplay in a two-dimensional non-Hermitian disordered Chern-insulator model with two…

介观与纳米尺度物理 · 物理学 2020-06-11 Ling-Zhi Tang , Ling-Feng Zhang , Guo-Qing Zhang , Dan-Wei Zhang

It is still an outstanding challenge to characterize and understand the topological features of strongly interacting states such as bound-states in interacting quantum systems. Here, by introducing a cotranslational symmetry in an…

量子气体 · 物理学 2017-11-17 Xizhou Qin , Feng Mei , Yongguan Ke , Li Zhang , Chaohong Lee

We study Chern numbers to characterize the ground state of strongly interacting systems on a lattice. This method allows us to perform a numerical characterization of bosonic fractional quantum Hall (FQH) states on a lattice where…

介观与纳米尺度物理 · 物理学 2007-12-17 Mohammad Hafezi , Anders S. Sorensen , Mikhail D. Lukin , Eugene Demler

We study the nonequilibrium dynamics of a one-dimensional topological Kondo insulator, modelled by a $p$-wave Anderson lattice model, following a quantum quench of the on-site interaction strength. Our goal is to examine how the quench…

强关联电子 · 物理学 2019-02-27 I. Hagymási , C. Hubig , U. Schollwöck

We describe a method for engineering local $k+1$-body interactions ($k=1,2,3$) from two-body couplings in spin-${1}{2}$ systems. When implemented in certain systems with a flat single-particle band with a unit Chern number, the resulting…

强关联电子 · 物理学 2015-06-16 Eliot Kapit , Steven H. Simon

The discovery of the quantum spin Hall effect and topological insulators more than a decade ago has revolutionized modern condensed matter physics. Today, the field of topological states of matter is one of the most active and fruitful…

强关联电子 · 物理学 2018-10-24 Stephan Rachel

We consider the two-dimensional topological Chern insulator in the presence of static disorder. Generic quantum states in this system are Anderson localized. However, topology requires the presence of a subset of critical states, with…

介观与纳米尺度物理 · 物理学 2023-08-29 Mateo Moreno-Gonzalez , Johannes Dieplinger , Alexander Altland

The description of interactions in strongly-correlated topological phases of matter remains a challenge. Here, we develop a stochastic functional approach for interacting topological insulators including both charge and spin channels. We…

强关联电子 · 物理学 2021-08-18 Joel Hutchinson , Philipp W. Klein , Karyn Le Hur

While the recent advances in topology have led to a classification scheme for electronic bands described by the standard theory of metals, a similar scheme has not emerged for strongly correlated systems such as Mott insulators in which a…

强关联电子 · 物理学 2023-04-18 Peizhi Mai , Benjamin E. Feldman , Philip W. Phillips

We investigate the ground-state phase diagram of the spinful extended Haldane-Hubbard model on the honeycomb lattice using an exact-diagonalization, mean-field variational approach, and further complement it with the infinite density matrix…

强关联电子 · 物理学 2021-01-27 Can Shao , Eduardo V. Castro , Shijie Hu , Rubem Mondaini