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Thermal transport is a fundamental mechanism of energy transfer process quite distinct from wave propagation phenomena. It can be manipulated well beyond the possibilities offered by natural materials with a new generation of artificial…

Applied Physics · Physics 2024-09-04 Zhoufei Liu , Peng Jin , Min Lei , Chengmeng Wang , Fabio Marchesoni , Jian-Hua Jiang , Jiping Huang

We report the exact closed-form solutions for higher-order topological states as well as explicit energy-spectrum relationships in two-dimensional (2D) non-Hermitian multi-orbital lattices with generalized boundary conditions. These…

High temperatures promote kinetic processes which can drive crystal synthesis towards ideal thermodynamic conditions, thereby realizing samples of superior quality. While accessing very high temperatures in thin-film epitaxy is becoming…

Materials Science · Physics 2024-11-06 Jeong Rae Kim , Sandra Glotzer , Adrian Llanos , Salva Salmani-Rezaie , Joseph Falson

We elucidate that the diffusive systems, which are widely found in nature, can be a new platform of the bulk-edge correspondence, a representative topological phenomenon. Using a discretized diffusion equation, we demonstrate the emergence…

Mesoscale and Nanoscale Physics · Physics 2021-01-20 Tsuneya Yoshida , Yasuhiro Hatsugai

Topological materials occupy the central stage in the modern condensed matter physics because of their robust metallic edge or surface states protected by the topological invariant, characterizing the electronic band structure in the bulk.…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Bitan Roy , Vladimir Juricic

A higher-order topological insulator (HOTI) in two dimensions is an insulator without metallic edge states but with robust zero-dimensional topological boundary modes localized at its corners. Yet, these corner modes do not carry a clear…

Mesoscale and Nanoscale Physics · Physics 2020-10-09 Guido van Miert , Carmine Ortix

The thermal conductivity of Functionally Graded Materials (FGMs) can be efficiently designed through topology optimization to obtain thermal meta-structures that actively steer the heat flow. Compared to conventional analytical design…

Computational Engineering, Finance, and Science · Computer Science 2024-12-04 Chintan Jansari , Stéphane P. A. Bordas , Marco Montemurro , Elena Atroshchenko

We propose a one-dimensional (1D) diffusion equation (heat equation) for systems in which the diffusion constant (thermal diffusivity) varies alternately with a spatial period $a$. We solve the time evolution of the field (temperature)…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 S. Makino , T. Fukui , T. Yoshida , Y. Hatsugai

Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator, but have protected conducting states on their edge or surface. The 2D topological insulator is a quantum spin Hall insulator, which is a…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 M. Z. Hasan , C. L. Kane

Recent years have seen the discovery of systems featuring fragile topological states. These states of matter lack certain protection attributes typically associated with topology and are therefore characterized by weaker signatures that…

Materials Science · Physics 2025-01-30 Pegah Azizi , Siddhartha Sarkar , Kai Sun , Stefano Gonella

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

Magnetic materials hosting stable topological spin textures have demonstrated energy efficiency and potential as information carriers in novel logic and memory devices, offering an alternative to magnetic tunnel junction technology. While…

Mesoscale and Nanoscale Physics · Physics 2025-09-18 Jacob Mankenberg , Artem Abanov

We study the properties of dipolar fermions trapped in one-dimensional bichromatic optical lattices and show the existence of fractional topological states in the presence of strong dipole-dipole interactions. We find some interesting…

Quantum Gases · Physics 2013-05-28 Zhihao Xu , Linhu Li , Shu Chen

Topological photonic systems represent a new class of optical materials supporting boundary modes with unique properties, not found in conventional photonics. While the early research on topological photonics has focused on edge and surface…

Topological edge states in systems of two (or more) dimensions offer scattering-free transport, exhibiting robustness to inhomogeneities and disorder. In a different domain, time-modulated systems, such as photonic time crystals (PTCs),…

Higher-order topological insulators (HOTIs) have attracted increasing interest as a unique class of topological quantum materials. One distinct property of HOTIs is the crystalline symmetry-imposed topological state at the lower-dimensional…

Materials Science · Physics 2023-07-25 Xiaoyin Li , Feng Liu

A two-dimensional second-order topological insulator exhibits topologically protected zero-energy states at its corners. In the literature, the breathing kagome lattice with nearest-neighbor hopping is often mentioned as an example of a…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Clara K. Geschner , Adam Yanis Chaou , Vatsal Dwivedi , Piet W. Brouwer

Diffusion driven by temperature or concentration gradients is a fundamental mechanism of energy and mass transport, which inherently differs from wave propagation in both physical foundations and application prospects. Compared with…

The most interesting experimental results obtained in studies of 2D and 3D topological insulators (TIs) based on HgTe quantum wells and films are reviewed. In the case of 2D TIs, these include the observation of nonlocal ballistic and…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Z. D. Kvon , D. A. Kozlov , E. B. Olshanetsky , G. M. Gusev , N. N. Mikhailov , S. A. Dvoretsky

Higher-order topological insulators (HOTIs) are unique topological materials supporting edge states with the dimensionality at least by two lower than the dimensionality of the underlying structure. HOTIs were observed on lattices with…