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An extended Hubbard model on a honeycomb lattice with two orbitals per site at charge neutrality is investigated with unbiased large-scale quantum Monte Carlo simulations. The Fermi velocity of the Dirac fermions is renormalized as the…

Strongly Correlated Electrons · Physics 2019-10-11 Yuan Da Liao , Zi Yang Meng , Xiao Yan Xu

In this paper, we present a unified physical picture for the electrostatic attraction between two coupled planar Wigner crystals at finite (but below their melting) temperature. At very low temperatures, we find a new regime where the…

Soft Condensed Matter · Physics 2016-08-31 A. W. C. Lau , P. Pincus , Dov Levine , H. A. Fertig

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 examine changes in the depinning threshold and conduction noise fluctuations for driven Wigner crystals in the presence of quenched disorder. At low temperatures there is a well defined depinning threshold and a strong peak in the noise…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 C. Reichhardt , C. J. O. Reichhardt

In this report, we study ultra-high-mobility two-dimensional (2D) electron/hole systems with high precision capacitance measurement. We find that the capacitance charge appears only at the fringe of the gate at high magnetic field when the…

Mesoscale and Nanoscale Physics · Physics 2022-12-29 Lili Zhao , Wenlu Lin , Y. J. Chung , K. W. Baldwin , L. N. Pfeiffer , Yang Liu

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

Using a simple model for interacting electrons in two dimensions with random disorder, we show that a crossover from a Wigner liquid to a Wigner glass occurs as a function of charge density. The noise power increases strongly at the…

Strongly Correlated Electrons · Physics 2009-11-10 C. Reichhardt , C. J. Olson Reichhardt

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…

Strongly Correlated Electrons · Physics 2013-02-13 Alex Archer , Jainendra K. Jain

The liquid-to-ordered phase transition in a bilayer system of fermions is studied within the context of a recently proposed density-functional theory [Phys. Rev. A {\bf 92}, 023614 (2015)]. In each two-dimensional layer, the fermions…

Quantum Gases · Physics 2016-06-01 B. P. van Zyl , W. Ferguson

In a dilute two-dimensional electron gas, Coulomb interactions can stabilize the formation of a Wigner crystal. Although Wigner crystals are topologically trivial, it has been predicted that electrons in a partially-filled band can break…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Ruiheng Su , Dacen Waters , Boran Zhou , Kenji Watanabe , Takashi Taniguchi , Ya-Hui Zhang , Matthew Yankowitz , Joshua Folk

From the Fractional Quantum Hall Effect States on a torus with filling factor nu = 1/p, p odd, we found that for small values of nu such states describe triangular Wigner crystals which are stable configurations. Therefore, the insulator…

Mesoscale and Nanoscale Physics · Physics 2011-04-29 Jaime Montes

We calculate, within a self-consistent Hartree-Fock approximation, the local density of states for different electron crystals in graphene subject to a strong magnetic field. We investigate both the Wigner crystal and bubble crystals with…

Mesoscale and Nanoscale Physics · Physics 2009-12-01 O. Poplavskyy , M. O. Goerbig , C. Morais Smith

We study the ground state structure of electronic-like bilayers, where different phases compete upon changing the inter-layer separation or particle density. New series representations with exceptional convergence properties are derived for…

Strongly Correlated Electrons · Physics 2015-06-05 L. Samaj , E. Trizac

The coupling of weak light fields to Rydberg states of atoms under conditions of electromagnetically induced transparency (EIT) leads to the formation of Rydberg polaritons which are quasi-particles with tunable effective mass and…

Quantum Physics · Physics 2013-09-17 Johannes Otterbach , Matthias Moos , Dominik Muth , Michael Fleischhauer

The insulator terminating the fractional quantum Hall series at low Landau level filling \nu is generally taken to be a pinned Wigner crystal (WC), and exhibits a microwave resonance that is interpreted as a WC pinning mode. Systematically…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. D. Ye , L. W. Engel , D. C. Tsui , R. M. Lewis , L. N. Pfeiffer , K. West

AB-stacked bilayer graphene has emerged as a fascinating yet simple platform for exploring macroscopic quantum phenomena of correlated electrons. Unexpectedly, a phase with negative dR/dT has recently been observed when a large electric…

The physics of an electron solid, held on a cryogenic liquid surface by a pressing electric field, is examined in a low-density regime that has not been explored before. We consider the effect of the pressing field in distorting the surface…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Masudul Haque , Indranil Paul , Sergey Pankov

We employ spin-dependent optical dipole forces to characterize the transverse center-of-mass (COM) motional mode of a two-dimensional Wigner crystal of hundreds of $^9$Be$^+$. By comparing the measured spin dephasing produced by the…

Quantum Physics · Physics 2014-03-19 Brian C. Sawyer , Joseph W. Britton , John J. Bollinger

We calculate exactly the quantum mechanical, temporal Wigner quasiprobability density for a single-mode, degenerate parametric amplifier for a system in the Gaussian state, viz., a displaced-squeezed thermal state. The Wigner function…

Quantum Physics · Physics 2021-03-16 Moorad Alexanian

We study the few-body physics of trapped atoms or molecules with electric or magnetic dipole moments aligned by an external field. Using exact numerical diagonalization appropriate for the strongly correlated regime, as well as a classical…

Quantum Gases · Physics 2010-12-16 J. C. Cremon , G. M. Bruun , S. M. Reimann