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The two dimensional electron gas (2DEG) in moderate magnetic fields in ultra-clean AlAs-GaAs heterojunctions exhibits transport anomalies suggestive of a compressible, anisotropic metallic state. Using scaling arguments and Monte Carlo…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson , Efstratios Manousakis , Kwangsik Nho

We present an effective elastic theory which {\em quantitatively} describes the stripe phase of the two-dimensional electron gas in high Landau levels ($N\geq2$). The dynamical matrix is obtained with remarkably high precision from the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Hangmo Yi , H. A. Fertig , R. Cote

We investigate the connection between the transport properties and the thermodynamics of electronic systems with a tendency to form broken-symmetry mesophases evocative of the physics of liquid crystals. Through a hydrodynamic approach to…

Strongly Correlated Electrons · Physics 2009-11-13 Rafael M. Fernandes , Jörg Schmalian , Harry Westfahl

Mean-field calculations for the two dimensional electron gas (2DEG) in a large magnetic field with a partially filled Landau level with index $N\geq 2$ consistently yield ``stripe-ordered'' charge-density wave ground-states, for much the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Eduardo Fradkin , Steven A. Kivelson

We propose a quantum stripe (smectic) coupled-Luttinger-liquid model for the anisotropic states which occur in two-dimensional electron systems with high-index partial Landau level filling, $\nu^{*} = \nu - \lbrack\nu\rbrack$. Perturbative…

Condensed Matter · Physics 2009-10-31 A. H. MacDonald , Matthew P. A. Fisher

In this report we summarize a recent progress in exploration of correlated two-dimensional electron states in partially filled high Landau levels. At a mean-field Hartree-Fock level they can be described as charge-density waves, either…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Michael M. Fogler

We study fluctuations and topological melting transitions of quantum Hall stripes near half-filling of intermediate Landau levels. Taking the stripe state to be an anisotropic Wigner crystal (AWC) allows us to identify the quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2007-12-04 A. M. Ettouhami , C. B. Doiron , R. Côté

At high magnetic fields, where the Fermi level lies in the N=0 lowest Landau level (LL), a clean two-dimensional electron system (2DES) exhibits numerous incompressible liquid phases which display the fractional quantized Hall effect (FQHE)…

Strongly Correlated Electrons · Physics 2012-08-14 Jing Xia , J. P. Eisenstein , Loren N. Pfeiffer , Ken W. West

Until the late 1980s, phases of matter were understood in terms of Landau's symmetry breaking theory. Following the discovery of the quantum Hall effect the introduction of a second class of phases, those with topological order, was…

Strongly Correlated Electrons · Physics 2016-03-09 N. Samkharadze , K. A. Schreiber , G. C. Gardner , M. J. Manfra , E. Fradkin , G. A. Csáthy

In two dimensional electron systems with Coulomb or dipolar interactions, a direct transition, whether first or second order, from a liquid to a crystalline state is forbidden. As a result, between these phases there must be other…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 B. Spivak , S. Kivelson

Electronic liquid crystal (ELC) phases are spontaneous symmetry breaking states believed to arise from strong electron correlation in quantum materials such as cuprates and iron pnictides. Here, we report a direct observation of a smectic…

Based on the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) theory of two-dimensional melting and the analogy between Laughlin states and the two-dimensional one-component plasma (2DOCP), we investigate the possibility of liquid…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Orion Ciftja , Cintia M. Lapilli , Carlos Wexler

Under hydrostatic pressure, the ground state of a two-dimensional electron gas at $\nu=5/2$ changes from a fractional quantum Hall state to the stripe phase. By measuring the energy gap of the fractional quantum Hall state and of the onset…

Strongly Correlated Electrons · Physics 2017-08-02 K. A. Schreiber , N. Samkharadze , G. C. Gardner , Rudro R. Biswas , M. J. Manfra , G. A. Csáthy

Liquid crystals in two dimensions undergo a first-order isotropic-to-quasi-nematic transition, provided the particle interactions are sufficiently ``sharp and narrow''. This implies phase coexistence between isotropic and quasi-nematic…

Statistical Mechanics · Physics 2009-11-13 R. L. C. Vink

Due to its extremely rich phase diagram, the two-dimensional electron gas exposed to perpendicular magnetic field has been the subject of intense and sustained study. One particularly interesting problem in this system is that of the…

Strongly Correlated Electrons · Physics 2020-03-24 Katherine A. Schreiber , Gábor A. Csáthy

We report direct experimental evidence that the insulating phase of a disordered, yet strongly interacting two-dimensional electron system (2DES) becomes unstable at low temperatures. As the temperature decreases, a transition from…

Mesoscale and Nanoscale Physics · Physics 2008-01-15 M. Baenninger , A. Ghosh , M. Pepper , H. E. Beere , I. Farrer , D. A. Ritchie

We argue that the ground state of a two-dimensional electron gas with Rashba spin-orbit coupling realizes one of several possible liquid crystalline or Wigner crystalline phases in the low-density limit, even for short-range repulsive…

Strongly Correlated Electrons · Physics 2012-01-25 Erez Berg , Mark S. Rudner , Steven A. Kivelson

We demonstrate that the partial entropy of a two-dimensional electron gas (2DEG) exhibits quantized peaks at resonances between the chemical potential and electron levels of size quantization. In the limit of no scattering, the peaks depend…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 A. A. Varlamov , A. V. Kavokin , Yu. M. Galperin

The unsymmetric confinement of the electrons in a typical 2-dimensional electron gas (2DEG) breaks the full cubic symmetry of the in-plane transport properties. A rigorous invariance of the transport under rotation by pi/2 about the cubic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Kroemer

We present experimental results on the tunneling into the edge of a two dimensional electron gas (2DEG) obtained with a GaAs/AlGaAs cleaved edge overgrown structure in a strong perpendicular magnetic field. While the 2DEG exhibits typical…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Hilke , D. C. Tsui , M. Grayson , L. N. Pfeiffer , K. W. West
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