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What are the ground states of an interacting, low-density electron system? In the absence of disorder, it has long been expected that as the electron density is lowered, the exchange energy gained by aligning the electron spins should…

Strongly Correlated Electrons · Physics 2020-12-07 Md. S. Hossain , M. K. Ma , K. A. Villegas Rosales , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We report the synthesis of novel edge-sharing chain systems Na(3)Cu(2)O(4) and Na(8)Cu(5)O(10), which form insulating states with commensurate charge order. We identify these systems as one-dimensional Wigner lattices, where the charge…

Strongly Correlated Electrons · Physics 2007-05-23 P. Horsch , M. Sofin , M. Mayr , M. Jansen

Exact-diagonalization calculations for N=3 electrons in anisotropic quantum dots, covering a broad range of confinement anisotropies and strength of inter-electron repulsion, are presented for zero and low magnetic fields. The excitation…

Mesoscale and Nanoscale Physics · Physics 2008-01-03 Yuesong Li , Constantine Yannouleas , Uzi Landman

We studied the structural, dynamical properties and melting of a quasi-one-dimensional system of charged particles, interacting through a screened Coulomb potential. The ground state energy was calculated and, depending on the density and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. Piacente , I. V. Schweigert , J. J. Betouras , F. M. Peeters

Due to the forming of low-energy flat bands, the moir\'e superlattices of the transition metal dichalcogenides are fascinating platforms for studying novel correlated states when such flat bands are fractionally filled, with the Coulomb…

Mesoscale and Nanoscale Physics · Physics 2026-05-06 Bingbing Wang , Junxi Yu , Cheng-Cheng Liu

Using an ansatz wave function for the ground state of rotating two-dimensional dipolar fermions, which occupy only partially the lowest Landau level, we study the correlation energy and elastic properties of the Wigner crystal of rotating…

Other Condensed Matter · Physics 2009-02-16 Szu-Cheng Cheng

Ignited by the discovery of the metal-insulator transition, the behaviour of low-disorder two-dimensional (2D) electron systems is currently the focus of a great deal of attention. In the strongly-interacting limit, electrons are expected…

Strongly Correlated Electrons · Physics 2018-09-19 Pedro Brussarski , S. Li , S. V. Kravchenko , A. A. Shashkin , M. P. Sarachik

We study the spectral properties of a system of electrons interacting through long-range Coulomb potential on a one-dimensional chain. When the interactions dominate over the electronic bandwidth, the charges arrange in an ordered…

Strongly Correlated Electrons · Physics 2009-11-13 S. Fratini , G. Rastelli

It was predicted by Wigner in 1934 that the electron gas will undergo a transition to a crystallized state when its density is very low. Whereas significant progress has been made towards the detection of electronic Wigner states, their…

Mesoscale and Nanoscale Physics · Physics 2011-02-01 L. H. Kristinsdóttir , J. C. Cremon , H. A. Nilsson , H. Q. Xu , L. Samuelson , H. Linke , A. Wacker , S. M. Reimann

We studied a vertical ``quantum dot molecule'', where one of the dots is occupied with electrons and the other with holes. We find that different phases occur in the ground state, depending on the carrier density and the interdot distance.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Karkkainen , M. Koskinen , M. Manninen , S. M. Reimann

We demonstrate that the static structure factor, momentum distribution and density distribution provide clear signatures of the emergence of Wigner crystal for the fermionic dipolar gas with strongly repulsive dipole-dipole interactions…

Quantum Gases · Physics 2012-03-06 Zhihao Xu , Shu Chen

We present a detailed analysis of the modulated-carrier quantum phase gate implemented with Wigner crystals of ions confined in Penning traps. We elaborate on a recent scheme, proposed by two of the authors, to engineer two-body…

Quantum Physics · Physics 2011-04-19 J. D. Baltrusch , A. Negretti , J. M. Taylor , T. Calarco

Gate-defined quantum dots define an attractive platform for quantum computation and have been used to confine individual charges in a planar array. Here, we demonstrate control over vertical double quantum dots confined in a double quantum…

Mesoscale and Nanoscale Physics · Physics 2024-07-11 Alexander Ivlev , Hanifa Tidjani , Stefan Oosterhout , Amir Sammak , Giordano Scappucci , Menno Veldhorst

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

The crystallization of charge carriers, dubbed the Wigner crystal, is anticipated at low densities in clean two-dimensional electronic systems (2DES). While there has been extensive investigation across diverse platforms, probing…

Strongly Correlated Electrons · Physics 2025-06-26 Mingjie Zhang , Zhenyu Wang , Yifan Jiang , Yaotian Liu , Kenji Watanabe , Takashi Taniguchi , Song Liu , Shiming Lei , Yongqing Li , Yang Xu

We propose schemes for generating spatially-separated spin entanglement in systems of two quantum dots with onsite Coulomb repulsion weakly coupled to a joint electron reservoir. An enhanced probability for the formation of spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Stefan Legel , Jürgen König , Guido Burkard , Gerd Schön

In low-disorder, two-dimensional electron systems (2DESs), the fractional quantum Hall states at very small Landau level fillings ($\nu$) terminate in a Wigner solid (WS) phase, where electrons arrange themselves in a periodic array. The WS…

Mesoscale and Nanoscale Physics · Physics 2024-01-25 P. T. Madathil , K. A. Villegas Rosales , Y. J. Chung , K. W. West , K. W. Baldwin , L. N. Pfeiffer , L. W. Engel , M. Shayegan

The spatial Fourier spectrum of the electron density distribution in a finite 1D system and the distribution function of electrons over single-particle states are studied in detail to show that there are two universal features in their…

Strongly Correlated Electrons · Physics 2019-08-09 Yasha Gindikin , Vladimir A. Sablikov

Charge density waves are thought to be common in two-dimensional electron systems in quantizing magnetic fields. Such phases are formed by the quasiparticles of the topmost occupied Landau level when it is partially filled. One class of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael M. Fogler

Charge-density wave phases in quantum materials stem from the complex interplay of electronic and lattice degrees of freedom. Nowadays, various time-resolved spectroscopy techniques allow to actively manipulate such phases and monitor their…

Strongly Correlated Electrons · Physics 2024-05-14 Eva Paprotzki , Alexander Osterkorn , Vibhu Mishra , Stefan Kehrein