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Many hydrodynamic instability patterns can be put into correspondence with a subset of characteristic surfaces of tangential discontinuities. These topological limits sets to systems of hyperbolic PDE's are locally unstable, but a certain…

Fluid Dynamics · Physics 2007-05-23 R. M. Kiehn

Non-Hermitian nodal knot metals (NKMs) contains intricate complex-valued energy bands gives rise to knotted exceptional loops and new topological surface states. We introduce a formalism that connects the algebraic, geometric, and…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Xiao Zhang , Guangjie Li , Yuhan Liu , Tommy Tai , Ronny Thomale , Ching Hua Lee

Surface-states of topological insulators are assumed to be robust against non-magnetic defects in the crystal. However, recent theoretical models and experiments indicate that even non-magnetic defects can perturb these states. Our…

Materials Science · Physics 2022-07-25 Sharmila N. Shirodkar , Pratibha Dev

Semi-holography, originally proposed as a model for conducting lattice electrons coupled to a holographic critical sector, leads to an effective theory of non-Fermi liquids with only a few relevant interactions on the Fermi surface in the…

High Energy Physics - Theory · Physics 2025-01-03 Benoit Doucot , Ayan Mukhopadhyay , Giuseppe Policastro , Sutapa Samanta , Hareram Swain

Based on previous work that topologically nontrivial gapless modes in relativistic hydrodynamics could be found by weakly breaking the energy momentum conservation, in this paper, we study the holographic system which produces the same…

High Energy Physics - Theory · Physics 2022-09-09 Wen-Bin Pan , Ya-Wen Sun

Liquid crystals have proven to provide a versatile experimental and theoretical platform for studying topological objects such as vortices, skyrmions, and hopfions. In parallel, in hard condensed matter physics, the concept of topological…

Soft Condensed Matter · Physics 2025-02-13 Cuiling Meng , Jin-Sheng Wu , Žiga Kos , Jörn Dunkel , Cristiano Nisoli , Ivan I. Smalyukh

We report hybrid lattice Boltzmann (HLB) simulations of the hydrodynamics of an active nematic liquid crystal sandwiched between confining walls with various anchoring conditions. We confirm the existence of a transition between a passive…

Soft Condensed Matter · Physics 2009-11-13 D. Marenduzzo , E. Orlandini , M. E. Cates , J. M. Yeomans

The motion of noncircular two-dimensional vortices is shown to depend on a form of coupling between vortex ellipticity and the gradient of fluid density. The approach is based on the perspective that an elliptic vortex can be described as…

Fluid Dynamics · Physics 2021-09-29 Jasmine M. Andersen , Andrew A. Voitiv , Mark E. Siemens , Mark T. Lusk

We propose helical topological superconductivity away from the Fermi surface in three-dimensional time-reversal-symmetric odd-parity multiband superconductors. In these systems, pairing between electrons originating from different bands is…

Mesoscale and Nanoscale Physics · Physics 2024-07-01 Masoud Bahari , Song-Bo Zhang , Chang-An Li , Sang-Jun Choi , Philipp Rüßmann , Carsten Timm , Björn Trauzettel

Materials with tunable topological features, simple crystal structure and flexible synthesis, are in extraordinary demand towards technological exploitation of unique properties of topological nodal points. The controlled design of the…

Materials Science · Physics 2020-10-14 Ali Ebrahimian , Reza Asgari , Mehrdad Dadsetani

Thin cylindrical membranes arise in a wide variety of biological systems ranging from tubular structures on and within cell membranes to in-vitro experiments on artificial vesicles. Motor proteins embedded in such fluidic membranes often…

Fluid Dynamics · Physics 2025-07-09 Udaya Maurya , Surya Teja Gavva , Arpan Saha , Rickmoy Samanta

The physics of systems that cannot be described by a Hermitian Hamiltonian, has been attracting a great deal of attention in recent years, motivated by their nontrivial responses and by a plethora of applications for sensing, lasing, energy…

Optics · Physics 2021-03-16 Alex Krasnok , Nikita Nefedkin , Andrea Alu

Honeycomb lattice can support electronic states exhibiting Dirac energy dispersion, with graphene as the icon. We propose to derive nontrivial topology by grouping six neighboring sites of honeycomb lattice into hexagons and enhancing the…

Mesoscale and Nanoscale Physics · Physics 2016-04-19 Long-Hua Wu , Xiao Hu

We describe the formation of bulk and edge arcs in the dispersion relation of two-dimensional coupled-resonator arrays that are topologically trivial in the hermitian limit. Each resonator provides two asymmetrically coupled internal modes,…

Optics · Physics 2018-09-11 Simon Malzard , Henning Schomerus

Topological invariants have proved useful for analyzing emergent function as they characterize a property of the entire system, and are insensitive to local details, disorder, and noise. They support boundary states, which reduce the system…

Statistical Mechanics · Physics 2025-10-10 Jaime Agudo-Canalejo , Evelyn Tang

Using dynamical-mean-field theory for clusters, we study the two-dimensional Hubbard model in which electrons are coupled with the orthorhombic lattice distortions through the modulation in the hopping matrix. Instability towards…

Strongly Correlated Electrons · Physics 2015-06-05 Satoshi Okamoto , Nobuo Furukawa

Non-Hermitian band descriptions capture how loss, gain, and environmental coupling reshape quantum matter, yet most experimental tests rely on wave-based or dynamical probes. Here we establish a new equilibrium route to exceptional physics…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Juan Pablo Esparza , Francisco J. Peña , Patricio Vargas , Vladimir Juričić

Topological insulators are crystalline materials that have revolutionized our ability to control wave transport. They provide us with unidirectional channels that are immune to obstacles, defects or local disorder, and can even survive some…

Applied Physics · Physics 2022-12-12 Zhe Zhang , Pierre Delplace , Romain Fleury

Non-Hermitian systems exhibit nontrivial band topology and a strong sensitivity of the energy spectrum on the boundary conditions. Remarkably, a macroscopic number of bulk states get squeezed toward the lattice edges under open boundary…

Quantum Physics · Physics 2022-07-26 Stefano Longhi

A new class of exclusion type processes acting in continuum with synchronous updating is introduced and studied. Ergodic averages of particle velocities are obtained and their connections to other statistical quantities, in particular to…

Dynamical Systems · Mathematics 2015-05-13 Michael Blank
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