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An analysis of the stability of topological states induced by Coulomb repulsion on decorated honeycomb lattices is presented. Based on a mean-field treatment of a spinless extended Hubbard model on the decorated honeycomb lattice we show…

Strongly Correlated Electrons · Physics 2020-05-22 Manuel Fernandez Lopez , Jaime Merino

Topological edge states arise in parity-time ($\mathcal{PT}$)-symmetric non-unitary quantum dynamics but have so far only been discussed in the $\mathcal{PT}$-symmetry-unbroken regime. Here we report the experimental detection of robust…

Quantum Physics · Physics 2019-06-19 Lei Xiao , Xingze Qiu , Kunkun Wang , Barry C. Sanders , Wei Yi , Peng Xue

Recent studies have shown that non-equilibrium optical systems under static electric fields offer a pathway to realize chiral gain, where the non-Hermitian response of a material is controlled by the spin angular momentum of the wave. In…

Applied Physics · Physics 2024-11-13 Filipa R. Prudêncio , Mário G. Silveirinha

On-the-fly quantum nonadiabatic dynamics for large systems greatly benefits from the adiabatic representation readily available from the electronic structure programs. However, frequently occurring in this representation conical…

Quantum anomalous Hall effect, with a trademark of dissipationless chiral edge states for electronics/spintronics transport applications, can be realized in materials with large spin-orbit coupling and strong intrinsic magnetization. After…

Mesoscale and Nanoscale Physics · Physics 2021-01-05 Muhammad Nadeem , Alex R. Hamilton , Michael S. Fuhrer , Xiaolin Wang

We explore the non-reciprocal intracell hopping mediated non-Hermitian topological phases of an extended Su-Schrieffer-Heeger model hosting second-nearest-neighbour hopping. We microscopically analyze the phase boundaries using the…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Dharana Joshi , Tanay Nag

Berry phase physics is closely related to a number of topological states of matter. Recently discovered topological semimetals are believed to host a nontrivial $\pi$ Berry phase to induce a phase shift of $\pm 1/8$ in the quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 C. M. Wang , Hai-Zhou Lu , Shun-Qing Shen

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

Superconductivity · Physics 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

The non-Bloch topology leads to the emergence of various counter-intuitive phenomena in non-Hermitian systems under the open boundary condition (OBC), which can not find a counterpart in Hermitian systems. However, in the non-Hermitian…

Quantum Physics · Physics 2024-07-29 Yue Zhang , Shuai Li , Yingchao Xu , Rui Tian , Miao Zhang , Hongrong Li , Hong Gao , M. Suhail Zubairy , Fuli Li , Bo Liu

We present an analytic proof of the existence of phase transition in the large $N$ limit of certain random noncommutaitve geometries. These geometries can be expressed as ensembles of Dirac operators. When they reduce to single matrix…

Mathematical Physics · Physics 2021-02-03 Masoud Khalkhali , Nathan Pagliaroli

Topological phases and transitions are of fundamental importance in physics, which provide a deep insight into the understanding of materials. Recently, non-Abelian topological transitions have been investigated in Hermitian systems,…

Quantum Physics · Physics 2025-03-25 Yunhan Wang , Yang Wu , Xiangyu Ye , Chang-Kui Duan , Ya Wang , Haiping Hu , Xing Rong , Jiangfeng Du

We consider universal statistical properties of systems that are characterized by phase states with macroscopic degeneracy of the ground state. A possible topological order in such systems is described by non-linear discrete equations. We…

Strongly Correlated Electrons · Physics 2007-06-06 Luigi Martina , Alexander Protogenov , Valery Verbus

We review recent progress in the analytic study of random matrix models suggested by noncommutative geometry. One considers fuzzy spectral triples where the space of possible Dirac operators is assigned a probability distribution. These…

High Energy Physics - Theory · Physics 2022-10-12 Hamed Hessam , Masoud Khalkhali , Nathan Pagliaroli , Luuk Verhoeven

We report anomalous quantum transport features in bilayer graphene in presence of a random distribution of structural vacancies. By using an efficient real-space Kubo-Greenwood transport methodology, the impact of a varying density of dimer…

Mesoscale and Nanoscale Physics · Physics 2016-03-11 Dinh Van Tuan , Stephan Roche

Recent developments in solid state physics give a prospect to observe the parity anomaly in (2+1)D massive Dirac systems. Here we show, that the quantum anomalous Hall (QAH) state in orbital magnetic fields originates from the Dirac mass…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Jan Böttcher , Ewelina M. Hankiewicz

We establish a set of nonequilibrium quantum phase transitions in the Dicke model by considering a monochromatic nonadiabatic modulation of the atom-field coupling. For weak driving the system exhibits a set of sidebands which allow the…

Quantum Physics · Physics 2012-01-31 V. M. Bastidas , C. Emary , B. Regler , T. Brandes

We employ quench dynamics as an effective tool to probe different universality classes of topological phase transitions. Specifically, we study a model encompassing both Dirac-like and nodal loop criticalities. Examining the Kibble-Zurek…

Statistical Mechanics · Physics 2022-12-06 Karin Sim , R. Chitra , Paolo Molignini

Externally controllable band gap properties of a material is crucial in designing optoelectronic devices with desirable properties on-demand. Here, a possibility of single parameter tuning of trivial to non-trivial topological band gap by…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Bikashkali Midya

Nodal lines are symmetry-protected one-dimensional band degeneracies in momentum space, which can appear in numerous topological configurations such as nodal rings, chains, links, and knots. Very recently, non-Abelian topological physics…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Mudi Wang , Shan Liu , Qiyun Ma , Ruo-Yang Zhang , Dongyang Wang , Qinghua Guo , Biao Yang , Manzhu Ke , Zhengyou Liu , C. T. Chan

We study the temporal behavior of topological quantum fluids with strong long-range couplings under slow external perturbations, whose rate $\delta$ approaches the quasi-static limit $\delta\to 0$. As expected, due to strong long-range…

Strongly Correlated Electrons · Physics 2025-11-24 Carola Ciaramelletti , Daniel Arrufat-Vicente , Simone Paganelli , Nicolo Defenu