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Different topological phases of quantum systems has become areas of increased focus in recent decades. In particular, the question of how to realize and manipulate systems with non-trivial first Chern number is pursued both experimentally…

Quantum Physics · Physics 2022-11-23 A. Alnor , T. Bækkegaard , N. T. Zinner

We investigate the influence of different spin-orbit couplings on topological phase transitions in the bilayer Kane-Mele model. We find that the competition between intrinsic spin-orbit coupling and Rashba spin-orbit coupling can lead to…

Mesoscale and Nanoscale Physics · Physics 2014-12-15 Hui Pan , Xin Li , Zhenhua Qiao , Cheng-Cheng Liu , Yugui Yao , Shengyuan A. Yang

We consider a time reversal symmetry (TRS) broken Kane-Mele model superimposed with Haldane model and chart out the phase diagram using spin Chern number to investigate the fate of quantum anomalous Hall insulator (QAHI) and quantum spin…

Mesoscale and Nanoscale Physics · Physics 2021-06-29 Sudarshan Saha , Tanay Nag , Saptarshi Mandal

We study the topological properties of Rashba spin-orbit coupling and exchange coupling induced pseudospin-$1$ system Dice lattice under the influence of a staggered electric potential and magnetization. The band structure and topological…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Puspita Parui , Bheema Lingam Chittari

We study the quantum phase transitions (QPTs) in the Kitaev spin model on a triangle-honeycomb lattice. In addition to the ordinary topological QPTs between Abelian and non-Abelian phases, we find new QPTs which can occur between two phases…

Statistical Mechanics · Physics 2015-05-19 Xiao-Feng Shi , Yan Chen , J. Q. You

In this work, we examine the topological phases of the spring-mass lattices when the spatial inversion symmetry of the system is broken and prove the existence of edge modes when two lattices with different topological phases are glued…

Mathematical Physics · Physics 2023-12-15 Ridvan Ozdemir , Junshan Lin

The topological phases of two-dimensional time-reversal symmetric insulators are classified by a $\mathbb{Z}_{2}$ topological invariant. Usually, the invariant is introduced and calculated by exploiting the way time-reversal symmetry acts…

Mesoscale and Nanoscale Physics · Physics 2024-09-06 Nicolas Baù , Antimo Marrazzo

Topological phase transition in a single material usually refers to transitions between a trivial band insulator and a topological Dirac phase, but the transition may also occur between different classes of topological Dirac phases.…

Materials Science · Physics 2018-06-13 Hui-Xiong Deng , Zhi-Gang Song , Shu-Shen Li , Su-Huai Wei , Jun-Wei Luo

A powerful method of manipulating the dynamics of quantum coherent particles is to control the phase of their tunneling. We consider a system of two electrons hopping on a quasi one-dimensional lattice in the presence of a uniform magnetic…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 C. E. Creffield , G. Platero

The realization and detection of topological phases with ultracold atomic gases is at the frontier of current theoretical and experimental research. Here, we identify cold atoms in optical ladders subjected to synthetic magnetic fields as…

Quantum Gases · Physics 2015-06-16 Dario Hügel , Belén Paredes

The breaking and enforcing of symmetries is a crucial ingredient in designing topologically robust materials. While magnetic fields can break time-reversal symmetry to create Chern insulators in electronic and microwave systems, at optical…

We investigate topological phases of monolayer jacutingaite (Pt$_2$HgSe$_3$) that arise when considering the competing effects of spin-orbit coupling (SOC), magnetic exchange interactions, and staggered sublattice potential V. The interplay…

Mesoscale and Nanoscale Physics · Physics 2022-12-22 Vassilios Vargiamidis , P. Vasilopoulos , Neophytos Neophytou

In crystalline systems, charge polarization is related to Zak's phase determined by bulk band topology. Nontrivial charge polarization induces robust edge states accompanied with fractional charge. In Su-Schrieffer-Heeger (SSH) model, it is…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 Tomoaki Kameda , Feng Liu , Sudipta Dutta , Katsunori Wakabayashi

Topological metamaterials exhibit unusual behaviors at their boundaries, such as unidirectional chiral waves, that are protected by a topological feature of their band structure. The ability to tune such a material through a topological…

Mesoscale and Nanoscale Physics · Physics 2018-04-04 Noah P. Mitchell , Lisa M. Nash , William T. M. Irvine

Topological singularities (TSs) in momentum space give rise to intriguing fundamental phenomena as well as unusual material properties, attracting a great deal of interest in the past decade. Recently, we have demonstrated universal…

We explore the critical properties of a topological transition in a two-dimensional, amorphous lattice with randomly distributed points. The model intrinsically breaks the time-reversal symmetry without an external magnetic field, akin to a…

Mesoscale and Nanoscale Physics · Physics 2025-10-24 Soumya Bera , Johannes Dieplinger , Naba P Nayak

Here, we explore the role of inherent altermagnetic topology in transverse transport phenomena (such as crystal/anomalous Hall, Nernst, and thermal Hall effects) in several famous altermagnets, including tetragonal…

Materials Science · Physics 2025-12-11 Xiuxian Yang , Xiaodong Zhou , Jingming Shi , Shifeng Qian , Xiaotian Wang , Wenhong Wang , Yinwei Li

Lateral heterostructures of two-dimensional (2D) materials, integrating different phases or materials into a single piece of nanosheet, have attracted intensive research interests in the past few years for high-performance electronic and…

Materials Science · Physics 2020-05-04 Kaiyun Chen , Junkai Deng , Yuan Yan , Qian Shi , Tieyan Chang , Xiangdong Ding , Jun Sun , Sen Yang , Jefferson Zhe Liu

Motivated by recent progress in understanding the interplay between lattice and electronic topological phases, we consider quantum-melting transitions of {\it weak} quantum liquid crystals, a crystal and a nematic phase, in which electrons…

Strongly Correlated Electrons · Physics 2015-06-22 Gil Young Cho , Onkar Parrikar , Yizhi You , Robert G. Leigh , Taylor L. Hughes

A common feature of topological insulators is that they are characterized by topologically invariant quantity such as the Chern number and the $\mathbb{Z}_2$ index. This quantity distinguishes a nontrivial topological system from a trivial…

Strongly Correlated Electrons · Physics 2018-05-24 S. A. Owerre