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Related papers: Dynamical response of a weakly pinned two-dimensio…

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When the Coulomb repulsion between electrons dominates over their kinetic energy, electrons in two dimensional systems were predicted to spontaneously break continuous translation symmetry and form a quantum crystal. Efforts to observe this…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 T. Smoleński , P. E. Dolgirev , C. Kuhlenkamp , A. Popert , Y. Shimazaki , P. Back , M. Kroner , K. Watanabe , T. Taniguchi , I. Esterlis , E. Demler , A. Imamoğlu

In clean two-dimensional (2D) systems, electrons are expected to self-organize into a regular lattice, a Wigner crystal, when their mutual Coulomb repulsion overwhelms kinetic energy. Understanding the Wigner crystal at zero magnetic field…

We have observed a resonance in the real part of the finite frequency diagonal conductivity using microwave absorption measurements in high quality 2D electron systems near {\em integer fillings}. The resonance exists in some neighborhood…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yong P. Chen , R. M. Lewis , L. W. Engel , D. C. Tsui , P. D. Ye , L. N. Pfeiffer , K. W. West

A Wigner crystal structure of the electronic ground state is induced by strong Coulomb interactions at low temperature in clean or disordered two-dimensional (2d) samples. For fermions on a mesoscopic disordered 2d lattice, being closed to…

Disordered Systems and Neural Networks · Physics 2009-10-31 Franck Selva , Dietmar Weinmann

In higher Landau levels ($N>1$), the ground state of the two-dimensional electron gas in a strong perpendicular magnetic field evolves from a Wigner crystal for small filling $\nu $ of the partially filled Landau level, into a succession of…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 R. Côté , Mei-Rong Li , A. Faribault , H. A. Fertig

We show that rotational angles of electrons moving in two dimensions (2D) in a perpendicular magnetic field can be synchronized by an external microwave field which frequency is close to the Larmor frequency. The synchronization eliminates…

Mesoscale and Nanoscale Physics · Physics 2007-12-17 A. D. Chepelianskii , A. S. Pikovsky , D. L. Shepelyansky

We consider a long quantum wire at low electron densities. In this strong interaction regime a Wigner crystal may form, in which electrons comprise an antiferromagnetic Heisenberg spin chain. The coupling constant J is exponentially small,…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. D. Klironomos , R. R. Ramazashvili , K. A. Matveev

The quantum Wigner crystal is a many-body state where Coulombic repulsion quenches the kinetic energy of electrons, causing them to crystallize into a lattice. Experimental realization of a quantum Wigner crystal at zero magnetic field has…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Simon Munyan , Sina Ahadi , Binghao Guo , Arman Rashidi , Susanne Stemmer

We calculated the Coulomb drag contribution to the resistivity and the transresistivity for a double layer system, in which the passive layer is a Wigner crystal pinned by impurities, and the active one is a metal. We found that in quasi…

Condensed Matter · Physics 2009-11-07 V. Braude , A. Stern

The dependence of the luminescence of diamonds with negatively charged nitrogen-vacancy centers (NV-) vs. applied magnetic field (magnetic spectrum) was studied. A narrow line in zero magnetic field was discovered. The properties of this…

Mesoscale and Nanoscale Physics · Physics 2014-07-04 S. V. Anishchik , V. G. Vins , A. P. Yelisseyev , N. N. Lukzen , N. L. Lavrik , V. A. Bagryansky

We derive the exact longitudinal plasmon dispersion relations, $\omega(k)$ of classical one and two dimensional Wigner crystals at T=0 from the real space equations of motion, of which properly accounts for the full unscreened Coulomb…

Strongly Correlated Electrons · Physics 2011-11-09 Shimul Akhanjee

We investigate the low density limit of the Homogeneous Electron system, often called the {\it Strictly Correlated} regime. We begin with a systematic presentation of the expansion around infinite $r_S$, based on the first quantized…

Strongly Correlated Electrons · Physics 2021-01-05 Tom Banks , Bingnan Zhang

The influence of long-range Coulomb forces on the persistent current of a pinned Wigner crystal-ring is considered. A simple method is proposed for how to take into account Coulomb effects for the macroscopic quantum tunneling of the Wigner…

Condensed Matter · Physics 2016-08-14 I. V. Krive , P. Sandström , R. I. Shekhter , M. Jonson

At low densities, electrons confined to two dimensions in a delta-doped heterostructure can arrange themselves into self-consistent droplets due to disorder and screening effects. We use this observation to show that at low temperatures,…

Strongly Correlated Electrons · Physics 2007-10-10 V. Tripathi , M. P. Kennett

The interplay between long-range and local Coulomb repulsion in strongly interacting electron systems is explored through a two-dimensional Hubbard-Wigner model. An unconventional metallic state is found in which collective low-energy…

Strongly Correlated Electrons · Physics 2009-10-23 S. Fratini , J. Merino

It is generally believed that a Wigner Crystal in single layer graphene can not form because the magnitudes of the Coulomb interaction and the kinetic energy scale similarly with decreasing electron density. However, this scaling argument…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 P. G. Silvestrov , P. Recher

Using many-body configuration interaction techniques we show that Wigner crystallization occurs at the zigzag edges of graphene at surprisingly high electronic densities up to $0.8$ $\mbox{nm}^{-1}$. In contrast with one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2016-02-17 A. D. Güçlü

We use Density Functional Theory to study interacting spinless electrons on a one-dimensional quantum ring in the density range where the system undergoes Wigner crystallization. The Wigner transition leads to a drastic ``collective''…

Mesoscale and Nanoscale Physics · Physics 2007-11-20 Marc Siegmund , Markus Hofmann , Oleg Pankratov

It is shown that pinning of an electron Wigner crystal by a small concentration of charged impurities creates the finite density of charged localized states near the Fermi level. In the case of residual impurities in the spacer this density…

Condensed Matter · Physics 2009-11-10 B. I. Shklovskii

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…

Materials Science · Physics 2025-12-16 Daniel Erkensten , Alexey Chernikov , Ermin Malic