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Related papers: Non-Hermitian topological Mott insulators in one-d…

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We study a non-Hermitian non-Abelian topological insulator preserving $PT$ symmetry, where the non-Hermitian term represents nonreciprocal hoppings. As it increases, a spontaneous $PT$ symmetry breaking transition occurs in the perfect-flat…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 Motohiko Ezawa

We study the boundary nature of trapped bosonic Mott insulators in optical square lattices, by performing quantum Monte Carlo simulation. We show that a finite superfluid density generally emerges in the incommensurate-filling (IC) boundary…

Strongly Correlated Electrons · Physics 2015-05-26 Takafumi Suzuki , Masahiro Sato

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

A system is non-Hermitian when it exchanges energy with its environment and non-reciprocal when it behaves differently upon the interchange of input and response. Within the field of metamaterial research on synthetic topological matter,…

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

The skin effect, where bulk modes collapse into boundary modes, is a key phenomenon in topological non-Hermitian systems, has been predominantly studied in spinless systems. Recent studies illustrate the magnetic suppression of the…

Mesoscale and Nanoscale Physics · Physics 2024-08-19 Wenna Zhang , Yutao Hu , Hongyi Zhang , Xiang Liu , Georgios Veronis , Yuecheng Shen , Yin Huang , Wenchen Luo , Andrea Alu`

We study roles of electron correlations on topological insulators on the honeycomb lattice with the spin-orbit interaction. Accurate variational Monte Carlo calculations show that the increasing on-site Coulomb interactions cause a strong…

Strongly Correlated Electrons · Physics 2011-05-24 Youhei Yamaji , Masatoshi Imada

Non-Hermitian skin effect, which refers to the phenomenon that an extensive number of eigenstates are localized at the boundary, has been widely studied in lattice models and experimentally observed in several classical systems. In this…

Quantum Gases · Physics 2023-01-02 Sibo Guo , Chenxiao Dong , Fuchun Zhang , Jiangping Hu , Zhesen Yang

The interacting bosons in one-dimensional inversion-symmetric superlattices are investigated from the topological aspect. The complete phase diagram is obtained by an atomic-limit analysis and quantum Monte Carlo simulations and comprises…

Quantum Gases · Physics 2015-06-23 Tianhe Li , Huaiming Guo , Shu Chen , Shun-Qing Shen

We introduce the exceptional topological insulator (ETI), a non-Hermitian topological state of matter that features exotic non-Hermitian surface states which can only exist within the three-dimensional topological bulk embedding. We show…

Mesoscale and Nanoscale Physics · Physics 2021-10-04 M. Michael Denner , Anastasiia Skurativska , Frank Schindler , Mark H. Fischer , Ronny Thomale , Tomáš Bzdušek , Titus Neupert

We study fermions on a triangular lattice model that exhibits topological flatbands characterized by nonzero Chern numbers. Our scheme stems from the well-known Hofstadter model but the next-nearest-neighbor hopping is introduced, which is…

Strongly Correlated Electrons · Physics 2015-03-25 Dong Wang , Zhao Liu , Wu-Ming Liu , Jun-Peng Cao , Heng Fan

The interplay between topology and interactions on the edge of a two dimensional topological insulator with time reversal symmetry is studied. We consider a simple non-interacting system of three helical channels with an inherent…

Strongly Correlated Electrons · Physics 2019-02-19 Raul A. Santos , D. B. Gutman , Sam T. Carr

Superfluid-insulator transitions in a one-dimensional mixture of two-color fermions and scalar bosons are studied within the framework of the Bose-Fermi-Hubbard model. Zero-temperature phase diagrams are constructed for repulsive…

Quantum Gases · Physics 2020-10-07 R. Avella , J. J. Mendoza-Arenas , R. Franco , J. Silva-Valencia

Non-Hermitian phenomena, such as exceptional points, non-Hermitian skin effects, and topologically nontrivial phases have attracted continued attention. In this work, we reveal how interactions and nonreciprocal hopping could collectively…

Disordered Systems and Neural Networks · Physics 2025-03-04 Yalun Zhang , Longwen Zhou

Explorations of symmetry and topology have led to important breakthroughs in quantum optics, but much richer behaviors arise from the non-Hermitian nature of light-matter interactions. A high-reflectivity, non-Hermitian optical mirror can…

Quantum Physics · Physics 2022-08-09 Yi-Cheng Wang , Jhih-Shih You , H. H. Jen

The non-Hermitian skin effect (NHSE) is an intriguing phenomenon in which an extensive number of bulk eigenstates localize at the boundaries of a non-Hermitian system with non-reciprocal hoppings. Here we study the interplay of this effect…

Quantum Physics · Physics 2025-05-13 Yin Huang , Wenna Zhang , Yu Zhou , Yuecheng Shen , Georgios Veronis , Wenchen Luo

A heterostructure of a semi-infinite metal and a Mott insulator is considered. It is supposed that both materials have an identical lattice spacing and hopping integrals and differ in the Hubbard repulsion which is negligible in the metal…

Strongly Correlated Electrons · Physics 2015-05-13 A. Sherman , N. Voropajeva

Many-body interactions in topological quantum systems can give rise to new phases of matter, which simultaneously exhibit both rich spatial features and topological properties. In this work, we consider spinless fermions on a checkerboard…

Quantum Gases · Physics 2020-12-10 Sergi Julià-Farré , Markus Müller , Maciej Lewenstein , Alexandre Dauphin

The interaction effects in ultracold Fermi gases with SU($N$) symmetry are studied non-perturbatively in half-filled one-dimensional lattices by employing quantum Monte Carlo simulations.We find that as $N$ increases, weak and strong…

Strongly Correlated Electrons · Physics 2018-11-01 Shenglong Xu , Julio Barreiro , Yu Wang , Congjun Wu

Multimode nonlinear optical systems are highly valued for their ability to withstand large amounts of optical power, transmit data with high bandwidth, perform physical computations, generate quantum correlations, and much more. For many of…

Quantum Physics · Physics 2025-03-17 Jamison Sloan , Sachin Vaidya , Nicholas Rivera , Marin Soljačić