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Amorphous systems have rapidly gained promise as novel platforms for topological matter. In this work we establish a scaling theory of amorphous topological phase transitions driven by the density of lattice points in two dimensions. By…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Isac Sahlberg , Alex Westström , Kim Pöyhönen , Teemu Ojanen

We show that applying simple dynamical rules to Baxter's eight-vertex model leads to a system which resembles a glass-forming liquid. There are analogies with liquid, supercooled liquid, glassy and crystalline states. The disordered phases…

Statistical Mechanics · Physics 2007-05-23 Robert L. Jack , Juan P. Garrahan , David Sherrington

Many disordered lattices exhibit remarkable universality in their low temperature properties, similar to that found in amorphous solids. Recently a two-TLS (two-level system) model was derived based on the microscopic characteristics of…

Disordered Systems and Neural Networks · Physics 2024-01-08 A. Churkin , I. Gabdank , A. Burin , M. Schechter

Single crystals of ZrAs1.4Se0.5 (PbFCl type structure) were grown by chemical vapour transport. While their thermodynamic and transport properties are typical for ordinary metals, the electrical resistivity exhibits a shallow minimum at low…

Strongly Correlated Electrons · Physics 2015-06-25 M. Schmidt , T. Cichorek , R. Niewa , A. Schlechte , Y. Prots , F. Steglich , R. Kniep

Topological defects are typically quantified relative to ordered backgrounds. The importance of these defects to the understanding of physical phenomena including diverse equilibrium melting transitions from low temperature ordered to…

Statistical Mechanics · Physics 2019-02-19 Z. Nussinov , N. B. Weingartner , F. S. Nogueira

We study a controlled large-$N$ theory of electrons coupled to dynamical two-level systems (TLSs) via spatially-random interactions. Such a physical situation arises when electrons scatter off low-energy excitations in a metallic glass,…

Strongly Correlated Electrons · Physics 2024-06-11 Noga Bashan , Evyatar Tulipman , Jörg Schmalian , Erez Berg

The lattice gas model of condensation in a heterogeneous pore system, represented by a random graph of cells, is studied using an exact analytical solution. A binary mixture of pore cells with different coordination numbers is shown to…

Statistical Mechanics · Physics 2014-08-26 Thomas P. Handford , Alexander Dear , Francisco J. Pérez-Reche , Sergei N. Taraskin

The solution to the long standing problem of the cohesion of organic chain compounds is proposed. We consider the tight-binding dielectric matrix with two electronic bands per chain, determine the corresponding hybridized collective modes,…

Condensed Matter · Physics 2009-10-31 P. Zupanovic , A. Bjelis , S. Barisic

Though the existence of two-level systems (TLS) is widely accepted to explain low temperature anomalies in many physical observables, knowledge about their properties is very rare. For silica which is one of the prototype glass-forming…

Materials Science · Physics 2009-11-11 J. Reinisch , A. Heuer

The formation of bulk metallic glass requires the constituent elements to have a negative heat of mixing but has no restrictions on its magnitude. An understanding of this issue is lacking due to the absence of a valid method for describing…

Materials Science · Physics 2023-05-10 Song Ling Liu , Xin Yu Luo , Jing Shan Cao , Zhao Yuan Liu , Bei Bei Xu , Yong Hao Sun , Weihua Wang

Disordered hyperuniform many-body systems are distinguishable states of matter that lie between a crystal and liquid: they are like perfect crystals in the way they suppress large-scale density fluctuations and yet are like liquids or…

Soft Condensed Matter · Physics 2016-09-21 Salvatore Torquato

Tunneling-two-level-system (TTLS) model has successfully explained several low-temperature glass universal properties which do not exist in their crystalline counterparts. The coupling constants between longitudinal and transverse phonon…

Statistical Mechanics · Physics 2016-07-05 Di Zhou , Anthony J. Leggett

This paper describes the use of simple lattice models for studying the properties of structurally disordered systems like glasses and granulates. The models considered have crystalline states as ground states, finite connectivity, and are…

Statistical Mechanics · Physics 2015-06-24 Alberto Petri

Spontaneous onset of a low temperature topologically ordered phase in a 2-dimensional (2D) lattice model of uniaxial liquid crystal (LC) was debated extensively pointing to a suspected underlying mechanism affecting the RG flow near the…

Soft Condensed Matter · Physics 2021-06-29 B. Kamala Latha , Surajit Dhara , V. S. S. Sastry

Whereas knowledge of a crystalline material's unit cell is fundamental to understanding the material's properties and behavior, there are not obvious analogues to unit cells for disordered materials despite the frequent existence of…

Computational Geometry · Computer Science 2020-05-27 Benjamin Schweinhart , David Rodney , Jeremy Mason

Chaotic systems that decompose into two cells connected only by a narrow channel exhibit characteristic deviations of their quantum spectral statistics from the canonical random-matrix ensembles. The equilibration between the cells…

chao-dyn · Physics 2016-08-31 Thomas Dittrich , Gert Koboldt , Bernhard Mehlig , Holger Schanz

In photonics, twisted bi-layer systems have demonstrated unprecedented control over light-matter interactions, primarily through the modulation of photonic band structures and the formation of Moir\'e patterns. Meanwhile, magnetic photonic…

Optics · Physics 2025-10-10 You-Ming Liu , Shi-Kai Lin , Pei-Shi Li , Yi-Ran Hao , Biao Yang

We study the distribution of overlaps of glassy minima, taking proper care of residual symmetries of the system. Ensembles of locally stable, low lying glassy states are efficiently generated by rapid cooling from the liquid phase which has…

Soft Condensed Matter · Physics 2009-10-31 K. K. Bhattacharya , K. Broderix , R. Kree , A. Zippelius

Relaxation phenomena in glasses can be related to jump processes between different minima of the potential energy in the configuration space. These transitions play a key role in the low temperature regime, giving rise to tunneling systems…

Disordered Systems and Neural Networks · Physics 2015-06-25 Claudio Brangian , Oreste Pilla , Gabriele Viliani

In this paper we develop a microscopic analysis of the light scattering on a periodic two-level atomic array coupled to an optical nanofiber. We extend the scattering matrix approach for two-level system interaction with nanofiber…

Optics · Physics 2016-12-21 D. F. Kornovan , A. S. Sheremet , M. I. Petrov
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