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Symmetry-protected topological phases host gapless modes at their boundary with a featureless environment of the same dimension or a trivial vacuum. In this study, we explore their behavior in a higher-dimensional environment, which itself…

Mesoscale and Nanoscale Physics · Physics 2025-09-23 Subrata Pachhal , Adhip Agarwala

Topological phases of matter are commonly understood as emerging either from crystalline symmetry and intrinsic spin-orbit coupling or from disorder-driven electronic renormalization. In realistic materials, however, structural defects…

Materials Science · Physics 2026-03-19 Emmanuel V. C. Lopes , Felipe Crasto de Lima , Caio Lewenkopf , Adalberto Fazzio

Metal organic frameworks are porous materials composed of metal ions or clusters coordinated by organic molecules. As a response to applied uniaxial pressure, molecules of straight shape in the framework start to buckle. Under sufficiently…

Mesoscale and Nanoscale Physics · Physics 2021-12-10 R. Matthias Geilhufe

In this review, We discussed the theoretical foundation and experimental discovery of different topological electronic states of material in condensed matter. At first, we briefly reviewed the conventional electronic states, which have been…

Materials Science · Physics 2020-11-30 Arnab Kumar Pariari

Based on the recently found non-trivial topology of buckled antimonene, we propose the conceptual design of a quantized switch that is protected by topology and a mechanism to create configurable 1D wire channels. We show that the…

Materials Science · Physics 2021-01-04 Santosh Kumar Radha , Walter R. L. Lambrecht

Topological band insulators and (semi-) metals can arise out of atomic insulators when the hopping strength between electrons increases. Such topological phases are separated from the atomic insulator by a bulk gap closing. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2022-04-21 Xiao-Ping Li , Da-Shuai Ma , Cheng-Cheng Liu , Zhi-Ming Yu , Yugui Yao

The transition between gapped (semiconducting) and gapless (metallic) phases and tunability of bandgap in materials is a very lucrative yet considerably challenging goal for new-age device preparation. For bulk materials and for…

Strongly Correlated Electrons · Physics 2022-02-08 Rudranil Basu , Swastibrata Bhattacharyya

The spin-orbit coupling field, an atomic magnetic field inside a Kramer's system, or discrete symmetries can create a topological torus in the Brillouin Zone and provide protected edge or surface states, which can contain relativistic…

The past few years have witnessed the rapid development of liquid metal dealloying to fabricate nano-/meso-scale porous and composite structures with ultra-high interfacial area for diverse materials applications. However, this method…

Materials Science · Physics 2022-06-22 Longhai Lai , Bernard Gaskey , Alyssa Chuang , Jonah Erlebacher , Alain Karma

We demonstrate that stacking topologically trivial layers, under enforced symmetry restrictions, yields emergent topological phases with protected boundary states. Remarkably, the number of layers itself acts as a topological switch,…

Materials Science · Physics 2026-02-24 Kai Chen , Junyan Guan , Jiamin Guo , He Gao , Zhongming Gu , Jie Zhu

A three-dimensional (3D) nodal-loop semimetal phase is exploited to engineer a number of intriguing phases featuring different peculiar topological surface states. In particular, by introducing various two-dimensional gap terms to a 3D…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Linhu Li , Han Hoe Yap , Miguel A. N. Araújo , Jiangbin Gong

We study the transmission through single and double ferromagnetic barriers on the surface of a topological insulator. By adjusting the gate voltage and magnetization oreintation, the ferromagnetic barrier can be tuned into various…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 Jinhua Gao , Wei-Qiang Chen , Xiao-Yong Feng , X. C. Xie , Fu-Chun Zhang

Weyl semimetals are phases of matter with gapless electronic excitations that are protected by topology and symmetry. Their properties depend on the dimensions of the systems. It has been theoretically demonstrated that five-dimensional…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Xingen Zheng , Tian Chen , Weixuan Zhang , Houjun Sun , Xiangdong Zhang

In this article, we provide an overview of the basic concepts of novel topological materials. This new class of materials developed by combining the Weyl/Dirac fermionic electron states and magnetism, provide a materials-science platform to…

Mesoscale and Nanoscale Physics · Physics 2020-03-17 Vishal Bhardwaj , Ratnamala Chatterjee

By first-principles calculations, we find that Ba2X(X=Si, Ge) hosts a topological semimetal phase with one nodal ring in the kx=0 plane, which is protected by the glide mirror symmetry when spin-orbit coupling (SOC) is ignored. The…

Mesoscale and Nanoscale Physics · Physics 2016-10-18 Ziming Zhu , Mingda Li , Ju Li

We consider topological invariants describing semimetal (gapless) and insulating (gapped) states of the quantum vacuum of Standard Model and possible quantum phase transitions between these states.

High Energy Physics - Phenomenology · Physics 2014-11-20 G. E. Volovik

Topology forms a cornerstone in modern condensed matter and statistical physics, offering a new framework to classify the phases and phase transitions beyond the traditional Landau paradigm. However, it is widely believed that topological…

Strongly Correlated Electrons · Physics 2026-01-05 Xue-Jia Yu , Limei Xu , Hai-Qing Lin

Topology, a well-established concept in mathematics, has nowadays become essential to describe condensed matter. At its core are chiral electron states on the bulk, surfaces and edges of the condensed matter systems, in which spin and…

Materials Science · Physics 2022-05-13 Claudia Felser , Johannes Gooth

Two-dimensional (2D) topological electronic insulators are known to give rise to gapless edge modes, which underlie low energy dynamics, including electrical and thermal transport. This has been thoroughly investigated in the context of…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Udit Khanna , Yuval Gefen , Ora Entin-Wohlman , Amnon Aharony

Advances in engineering mesoscopic quantum devices have led to new material platforms where electronic transport can be achieved on foldable structures. In this respect, we study quantum phases and their transitions on a Kirigami structure,…

Mesoscale and Nanoscale Physics · Physics 2025-02-14 Rahul Singh , Adhip Agarwala