Topological thermal transport

Abstract

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 metamaterials: thermal metamaterials. Topological physics, a focal point in contemporary condensed matter physics, is closely intertwined with thermal metamaterials in recent years. Inspired by topological photonics and topological acoustics in wave metamaterials, a new research field emerged recently, which we dub `topological thermotics', which encompasses three primary branches: topological thermal conduction, convection, and radiation. For topological thermal conduction, we discuss recent advances in both 1D and higher-dimensional thermal topological phases. For topological thermal convection, we discuss the implementation of thermal exceptional points with their unique properties and non-Hermitian thermal topological states. Finally, we review the most recent demonstration of topological effects in the near-field and far-field radiation. Anticipating future developments, we conclude by discussing potential directions of topological thermotics, including the expansion into other diffusion processes such as particle dynamics and plasma physics, and the integration with machine learning techniques.

This perpective summarizes the topological physics in thermal metamaterials and proposes a new research field, "topological thermotics"

References in corpus (94)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Effect in Graphene
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Photonics
• Topological Photonics
• Photonic Floquet Topological Insulators
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Weyl Semimetal in a Topological Insulator Multilayer
• Quantized Anomalous Hall Effect in Magnetic Topological Insulators
• Quantized Electric Multipole Insulators
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Exceptional Topology of Non-Hermitian Systems
• Non-Hermitian Physics
• Higher-Order Topological Insulators
• Topological superconductors: a review
• Artificial Brownian motors: Controlling transport on the nanoscale
• Topological Acoustics
• The (High Quality) Topological Materials In The World
• Dynamically encircling exceptional points in a waveguide: asymmetric mode switching from the breakdown of adiabaticity
• Topological energy transfer in an optomechanical system with exceptional points
• Catalogue of Topological Electronic Materials
• Efficient Light Funneling based on the non-Hermitian Skin Effect
• Quantization of fractional corner charge in $C_n$-symmetric higher-order topological crystalline insulators
• Towards ideal topological materials: Comprehensive database searches using symmetry indicators
• Transforming heat transfer with thermal metamaterials and devices
• Visualization of higher-order topological insulating phases in two-dimensional dielectric photonic crystals
• Observation of photonic anomalous Floquet Topological Insulators
• Classical higher-order topological insulators
• Integer and fractional Chern insulators in twisted bilayer MoTe2
• Discovery of a quantum limit Chern magnet TbMn6Sn6
• Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
• Localization and delocalization of light in photonic moire lattices
• Observation of second-order topological insulators in sonic crystals
• Topological acoustics
• Topological negative refraction of surface acoustic waves in a Weyl phononic crystal
• Non-Hermitian Topological Sensors
• Topological Nature of the Phonon Hall Effect
• Experimental realization of a Weyl exceptional ring
• Experimental discovery of bulk-disclination correspondence
• Near-field Radiative Heat Transfer in Many-Body Systems
• Electromagnetically induced transparency at a chiral exceptional point
• Quantum Loop Topography for Machine Learning
• Machine Learning Topological Invariants with Neural Networks
• Plasmon Weyl Degeneracies in Magnetized Plasma
• Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
• Non-Hermitian Hopf-Link Exceptional Line Semimetals
• Dimensional hierarchy of higher-order topology in three-dimensional sonic crystals
• Observation of non-Abelian topological semimetals and their phase transitions
• Unsupervised machine learning and band topology
• Observation of a phononic higher-order Weyl semimetal
• Superconductivity and strong interactions in a tunable moiré quasiperiodic crystal
• Topological light-trapping on a dislocation
• Controlling mass and energy diffusion with metamaterials
• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Nodeless electron pairing in CsV${}_3$Sb${}_5$-derived kagome superconductors
• One-Dimensional Luttinger Liquids in a Two-Dimensional Moiré Lattice
• Experimental Realization of Weyl Exceptional Rings in a Synthetic Three-Dimensional Non-Hermitian Phononic Crystal
• Transformation thermal convection: Cloaking, concentrating, and camouflage
• Ordered and tunable Majorana-zero-mode lattice in naturally strained LiFeAs
• Unsupervised Manifold Clustering of Topological Phononics
• Experimental realization of single-plaquette gauge flux insertion and topological Wannier cycles
• Hunting for Majoranas
• Tunable liquid-solid hybrid thermal metamaterials with a topology transition
• Screening 2D materials with topological flat bands
• Machine learning for materials discovery: two-dimensional topological insulators
• Topological Gaseous Plasmon Polariton in Realistic Plasma
• Detection of Topological Materials with Machine Learning
• Topological phases and bulk-edge correspondence of magnetized cold plasmas
• Localized heat diffusion in topological thermal materials
• Bulk-edge correspondence of classical diffusion phenomena
• Minimal non-abelian nodal braiding in ideal metamaterials
• Demonstration of acoustic high-order Stiefel-Whitney semimetal in bilayer graphene sonic crystals
• Artificial Intelligence for High-Throughput Discovery of Topological Insulators: the Example of Alloyed Tetradymites
• Higher-Order Topological In-Bulk Corner State in Pure Diffusion Systems
• Machine learning spectral indicators of topology
• Blackhole-Inspired Thermal Trapping with Graded Heat-Conduction Metadevices
• Topogivity: A Machine-Learned Chemical Rule for Discovering Topological Materials
• Radiative heat flux through a topological Su-Schrieffer-Heeger chain of plasmonic nanoparticles
• Nontrivial topology in the continuous spectrum of a magnetized plasma
• Diffusive Pseudo-Conformal Mapping: Anisotropy-Free Transformation Thermal Media with Perfect Interface Matching
• Thermal near-field energy density and LDOS in topological 1D SSH chains and 2D SSH lattices of plasmonic nanoparticles
• Topological near-field heat flow in a honeycomb lattice
• Geometric Thermoelectric Pump: Energy Harvesting beyond Seebeck and Pyroelectric Effects
• Topological plasma transport from a diffusion view
• Higher-order topological heat conduction on a lattice for detection of corner states
• Thermal radiation and near-field thermal imaging of a plasmonic Su-Schrieffer-Heeger chain
• Selectable diffusion direction with topologically protected edge modes
• Residual surface charge mediated near-field radiative energy transfer: A topological insulator analog
• Hierarchical Topological States in Thermal Diffusive Networks
• Extended-localized transition in diffusive quasicrystals

Cited by in corpus (5)

• Convection-modulated topological edge mode and extended-localized criticality in thermal metamaterials
• 3D Topologically Polarized Elastic Metamaterials Enable Asymmetric Energy Isolation at Low Frequencies
• Ultralow radiative heat flux by Anderson localization in quasiperiodic plasmonic chains
• Large unconventional anomalous Hall effect far above room temperature in epitaxial Fe${}_3$Ga${}_4$ films
• Broadband source-surrounded cloak for on-chip antenna radiation pattern protection