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The Turing instability is a paradigmatic route to patterns formation in reaction-diffusion systems. Following a diffusion-driven instability, homogeneous fixed points can become unstable when subject to external perturbation. As a…

Pattern Formation and Solitons · Physics 2015-09-02 Joseph D. Challenger , Raffaella Burioni , Duccio Fanelli

We study the theory of itinerant-hole photoluminescence of two-dimensional electron systems in the regime of the magnetically induced Wigner crystal. We show that the exciton recombination transition develops structure related to the…

Condensed Matter · Physics 2009-10-28 N. R. Cooper

In this letter we propose a Turing model of the formation of patterns of visible light emission intensity in atmospheric pressure gas discharges. The electron density and the electron temperature take the roles of activator and inhibitor…

Plasma Physics · Physics 2011-01-19 Xi Chen , Yao Zhou , Xi-Ming Zhu , Yi-Kang Pu , F. Iza , M. A. Lieberman

The mechanisms for generation of long-lived spin coherence in a two-dimensional electron gas (2DEG) have been studied experimentally by means of a picosecond pump-probe Kerr rotation technique. CdTe/(Cd,Mg)Te quantum wells with a diluted…

Mesoscale and Nanoscale Physics · Physics 2007-12-01 E. A. Zhukov , D. R. Yakovlev , M. Bayer , M. M. Glazov , E. L. Ivchenko , G. Karczewski , T. Wojtowicz , J. Kossut

The energy and photoluminescence (PL) spectra of a two-dimensional electron gas (2DEG) interacting with a valence-band hole are studied in the high-magnetic-field limit as a function of the filling factor nu and the separation $d$ between…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs , Kyung-Soo Yi , Izabela Szlufarska

The phenomenon of pattern formation in nonlinear optical resonators is commonly related to an off-resonance excitation mechanism, where patterns occur due to mismatch between the excitation and resonance frequency. In this paper we show…

Pattern Formation and Solitons · Physics 2009-10-31 Kestutis Staliunas , Victor J. Sanchez-Morcillo

Recent experiments have exploited elastic instabilities in membranes to create complex patterns. However, the rational design of such structures poses many challenges, as they are products of nonlinear elastic behavior. We pose a simple…

Soft Condensed Matter · Physics 2009-08-13 Elisabetta A. Matsumoto , Randall D. Kamien

A two-dimensional (2D) electron gas formed in a modulation-doped GaAs/AlGaAs single quantum well undergoes a first-order transition when the first excited subband is occupied with electrons, as the Fermi level is tuned into resonance with…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 A. R. Goñi , U. Haboeck , C. Thomsen , K. Eberl , F. A. Reboredo , C. R. Proetto , F. Guinea

Motivated by recent Raman and resonant inelastic X-ray scattering experiments performed for Mott insulators, which suggest formation of excitons in these systems, we present a theory of exciton formation in the upper Hubbard band. The…

Strongly Correlated Electrons · Physics 2009-11-07 P. Wrobel , R. Eder

The optical properties of atomically thin semiconductors are dominated by excitons, tightly bound electron-hole pairs, which give rise to particularly rich and remarkable physics. Despite their importance, the microscopic formation…

We simulate the time-dependent coherent dynamics of a spatially indirect exciton (an electron-hole pair with the two particles confined in different layers) in a GaAs coupled quantum well system. We use a unitary wave-packet propagation…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 Federico Grasselli , Andrea Bertoni , Guido Goldoni

Excitonic condensation and superfluidity have recently received a renewed attention, due to the fabrication of bilayer systems in which electrons and hole are spatially separated and form stable pairs known as indirect excitons.…

Strongly Correlated Electrons · Physics 2023-06-05 Cesare Malosso , Gaetano Senatore , Stefania De Palo

Spontaneous pattern formation in a variety of spatially extended nonlinear system always occurs through a modulation instability: homogeneous state of the system becomes unstable with respect to growing modulation modes. Therefore, the…

Pattern Formation and Solitons · Physics 2015-08-25 S. Kumar , R. Herrero , M. Botey , K. Staliunas

Systems that exhibit pattern formation are typically driven and dissipative. In the early universe, parametric resonance can drive explosive particle production called preheating. The fields that are populated then decay quantum…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Sornborger , M. Parry

Revealing the interactions binding electronic and lattice components of cooperative quantum order is central to sculpting new states of matter. This challenge is epitomized by the charge density wave material 1T-TiSe$_2$, where…

Phase transitions induced by short optical pulses is a new mainstream in studies of cooperative electronic states. Its special realization in systems with neutral-ionic transformations stands out in a way that the optical pumping goes to…

Strongly Correlated Electrons · Physics 2015-01-27 Tianyou Yi , Natasha Kirova , Serguei Brazovskii

In this work we study the effect of density dependent nonlinear diffusion on pattern formation in the Lengyel--Epstein system. Via the linear stability analysis we determine both the Turing and the Hopf instability boundaries and we show…

Pattern Formation and Solitons · Physics 2014-05-20 G. Gambino , M. C. Lombardo , M. Sammartino

A phenomenological theory of exciton condensation in conditions of inhomogeneous excitation is proposed. The theory is applied to the study of the development of an exciton luminescence ring and the ring fragmentation at macroscopical…

Mesoscale and Nanoscale Physics · Physics 2013-08-15 Andrey A. Chernyuk , Volodymyr I. Sugakov

Pattern formation from homogeneity is well-studied, but less is known concerning symmetry-breaking instabilities in heterogeneous media. It is nontrivial to separate observed spatial patterning due to inherent spatial heterogeneity from…

Pattern Formation and Solitons · Physics 2019-12-10 Andrew L. Krause , Václav Klika , Thomas E. Woolley , Eamonn A. Gaffney

We develop a model, which incorporates both intra- and intervalley scatterings to master equation, to explore exciton valley coherence in monolayer WS$_2$ subjected to magnetic field. For linearly polarized (LP) excitation accompanied with…

Mesoscale and Nanoscale Physics · Physics 2023-08-09 Kang Lan , Shijie Xie , Jiyong Fu , Fanyao Qu