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We present a calculation of the imaginary part of the polarizability of a Wigner crystal using the Fluctuation-Dissipation theorem. The oscillations of the localized electrons about their equilibrium positions are treated in the harmonic…

强关联电子 · 物理学 2025-09-10 Navinder Singh

We report diffusion quantum Monte Carlo calculations of three-dimensional Wigner crystals in the density range r_s=100-150. We have tested different types of orbital for use in the approximate wave functions but none improve upon the simple…

强关联电子 · 物理学 2008-01-03 N. D. Drummond , Z. Radnai , J. R. Trail , M. D. Towler , R. J. Needs

A Wigner crystal, a regular electron lattice arising from strong correlation effects, is one of the earliest predicted collective electronic states. This many-body state exhibits quantum and classical phase transitions and has been proposed…

Generalized Wigner crystals (GWC) on triangular moir\'e superlattices, formed from stacking two layers of transition metal chalcogenides, have been observed at multiple fractional fillings [Nature 587, 214 - 218 (2020), Nat. Phys. 17, 715 -…

强关联电子 · 物理学 2025-10-01 Aman Kumar , Cyprian Lewandowski , Hitesh J. Changlani

We study the exchange coupling in small Wigner crystals confined to one-dimensional space. In particular we concentrate on the simplest nontrivial case of two electrons in a box potential and calculate analytically the energy splitting…

强关联电子 · 物理学 2025-12-30 Daniele Lagasco , Zoran Ristivojevic

The melting of a Wigner Crystal of electrons placed into a host polar material is examined as a function of the density and the temperature. When the coupling to the longitudinal optical modes of the host medium is turned on, the WC is…

强关联电子 · 物理学 2009-10-31 S. Fratini , P. Quemerais

Using acoustic methods the complex high-frequency conductance of high-mobility $n$-GaAs/AlGaAs heterostructures was determined in magnetic fields 12$\div$18~T. Based on the observed frequency and temperature dependences we conclude that in…

介观与纳米尺度物理 · 物理学 2016-08-24 I. L. Drichko , I. Yu. Smirnov , A. V. Suslov , Y. M. Galperin , L. N. Pfeiffer , K. W. West

We consider simulations of Wigner crystals interacting with random quenched disorder in the presence of thermal fluctuations. When quenched disorder is absent, there is a well defined melting temperature determined by the proliferation of…

介观与纳米尺度物理 · 物理学 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

We introduce a new approach for the correlation energy of one- and two-valley two-dimensional electron gas (2DEG) systems. Our approach is based on a random phase approximation at high densities and a classical approach at low densities,…

强关联电子 · 物理学 2017-04-05 M. Zarenia , D. Neilson , B. Partoens , F. M. Peeters

The temperature-induced emergence of Wigner correlations over finite-size effects in a strongly interacting one-dimensional quantum dot are studied in the framework of the spin coherent Luttinger liquid. We demonstrate that, for…

介观与纳米尺度物理 · 物理学 2013-09-12 N. Traverso Ziani , F. Cavaliere , M. Sassetti

Low-disorder two-dimensional electron systems in the presence of a strong, perpendicular magnetic field terminate at very small Landau level filling factors in a Wigner crystal (WC), where the electrons form an ordered array to minimize the…

We report evidence that the metallic phase in high Tc cuprate superconductors results from an instability of the quasi 2D-electron gas at densities lower or larger than the critical density for the formation of a Wigner polaronic crystal.…

超导电性 · 物理学 2009-06-30 Antonio Bianconi , Mauro Missori

The strong Coulomb interaction in 2D materials facilitates the formation of tightly bound excitons and charge-ordered phases of matter. A prominent example is the formation of a crystalline phase from free charges due to mutual Coulomb…

材料科学 · 物理学 2025-12-16 Daniel Erkensten , Alexey Chernikov , Ermin Malic

We have investigated the behavior and stability of a Wigner crystal of rotating dipolar fermions in two dimensions. Using an ansatz wave function for the ground state of rotating two-dimensional dipolar fermions, which occupy only partially…

量子气体 · 物理学 2010-03-16 Szu-Cheng Cheng , Shih-Da Jheng , T. F. Jiang

Wigner crystals are extremely fragile, which is shown to result from very strong geometric frustration germane to long-range Coulomb interactions. Physically, this is manifested by a very small characteristic energy scale for shear density…

强关联电子 · 物理学 2025-12-10 Mohammed Hammam , Cyprian Lewandowski , Vladimir Dobrosavljevic , Sandeep Joy

Equilibration of a one-dimensional system of interacting electrons requires processes that change the numbers of left- and right-moving particles. At low temperatures such processes are strongly suppressed, resulting in slow relaxation…

介观与纳米尺度物理 · 物理学 2010-07-22 K. A. Matveev , A. V. Andreev , M. Pustilnik

The Wigner crystal of composite fermions is a strongly correlated state of complex emergent particles, and therefore its unambiguous detection would be of significant importance. Recent observation of optical resonances in the vicinity of…

强关联电子 · 物理学 2013-02-13 Alex Archer , Jainendra K. Jain

With the advent of atomically thin and tunable van der Waals materials, a two-dimensional electronic Wigner crystal has recently been observed. The smoking gun signal was the appearance of an umklapp branch in optical exciton spectroscopy…

强关联电子 · 物理学 2025-12-19 Jens Havgaard Nyhegn , Esben Rohan Christensen , Georg M. Bruun

Eugene Wigner predicted long ago that when the Coulomb interactions between electrons become much stronger than their kinetic energy, electrons crystallize into a closely packed lattice. A variety of two-dimensional systems have shown…

介观与纳米尺度物理 · 物理学 2025-12-05 Yen-Chen Tsui , Minhao He , Yuwen Hu , Ethan Lake , Taige Wang , Kenji Watanabe , Takashi Taniguchi , Michael P. Zaletel , Ali Yazdani

Wigner crystallization of free electrons at room temperature is explored for a new class of metallic ultrathin (transdimensional) materials whose properties can be controlled by their thickness. Our calculations of the critical electron…

强关联电子 · 物理学 2026-04-17 Igor V. Bondarev , Alexandra Boltasseva , Jacob B. Khurgin , Vladimir M. Shalaev