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We develop an effective low energy theory of the Quantum Hall (QH) Smectic or stripe phase of a two-dimensional electron gas in a large magnetic field in terms of its Goldstone modes and of the charge fluctuations on each stripe. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel G. Barci , Eduardo Fradkin , Steven A. Kivelson , Vadim Oganesyan

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 study the effect of disorder on quantum Hall smectics within the framework of an elastic theory. Based on a renormalization group calculation, we derive detailed results for the degrees of translational and orientational order of the…

Strongly Correlated Electrons · Physics 2009-10-31 Stefan Scheidl , Felix von Oppen

Transport measurements on two dimensional electron systems in moderate magnetic fields suggest the existence of a spontaneously orientationally-ordered, compressible liquid state. We develop and analyze a microscopic theory of such a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky , Alan T. Dorsey

We propose a dynamical theory of the stripe phase arising in a two-dimensional electron liquid near half-integral fillings of high Landau levels. The system is modelled as a novel type of a smectic liquid crystal with the Lorentz force…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. M. Fogler , V. M. Vinokur

We present a microscopic derivation of the hydrodynamic theory of the Quantum Hall smectic or stripe phase of a two-dimensional electron gas in a large magnetic field. The effective action of the low energy is derived here from a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Daniel G. Barci , Eduardo Fradkin

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 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 derive the the long-wavelength elastic theory for the quantum Hall smectic state starting from the Hartree-Fock approximation. Dislocations in this state lead to an effective nematic model for $T>0$, which undergoes a disclination…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Wexler , Alan T. Dorsey

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

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

We present a self-contained review of the theory of dislocation-mediated quantum melting at zero temperature in two spatial dimensions. The theory describes the liquid-crystalline phases with spatial symmetries in between a quantum…

Strongly Correlated Electrons · Physics 2017-06-07 Aron J. Beekman , Jaakko Nissinen , Kai Wu , Ke Liu , Robert-Jan Slager , Zohar Nussinov , Vladimir Cvetkovic , Jan Zaanen

We derive from a microscopic model the effective theory of nematic order in a system with a spontaneous quantum anomalous Hall effect in two dimensions. Starting with a model of two-component fermions (a spinor field) with a quadratic band…

Strongly Correlated Electrons · Physics 2014-01-16 Yizhi You , Eduardo Fradkin

We derive an effective topological field theory model of the four dimensional quantum Hall liquid state recently constructed by Zhang and Hu. Using a generalization of the flux attachment transformation, the effective field theory can be…

Condensed Matter · Physics 2011-11-14 B. Andrei Bernevig , Chyh-Hong Chern , Jiang-Ping Hu , Nicolaos Toumbas , Shou-Cheng Zhang

Anomalous nematic states, recently discovered in ultraclean two-dimensional electron gas, emerge from quantum Hall stripe phases upon further cooling. These states are hallmarked by a local minimum (maximum) in the hard (easy) longitudinal…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 X. Fu , Q. Shi , M. A. Zudov , G. C. Gardner , J. D. Watson , M. J. Manfra , K. W. Baldwin , L. N. Pfeiffer , K. W. West

The interplay between different orders is of fundamental importance in physics. The spontaneous, symmetry-breaking charge order, responsible for the stripe or the nematic phase, has been of great interest in many contexts where strong…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Md. Shafayat Hossain , M. A. Mueed , Meng K. Ma , Y. J. Chung , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We use quantum Monte Carlo simulations to determine the finite temperature phase diagram and to investigate the thermal and quantum melting of stripe phases in a two-dimensional hard-core boson model. At half filling and low temperatures…

Superconductivity · Physics 2007-05-23 Guido Schmid , Matthias Troyer

In this work we use self-consistent method considering a two dimensional electron gas system in the integer quantum Hall regime, to calculate the temperature induced decay of incompressible stripes. There are two types of incompressible…

Strongly Correlated Electrons · Physics 2014-06-23 Tao Yang , Keith A. Benedict

Two-dimensional electron gases in strong magnetic fields provide a canonical platform for realizing a variety of electronic ordering phenomena. Here we review the physics of one intriguing class of interaction-driven quantum Hall states:…

Strongly Correlated Electrons · Physics 2021-05-25 S. A. Parameswaran , B. E. Feldman

Effective theories of quantum liquids (superconductors and superfluids of various types) are derived starting from microscopic models at the absolute zero of temperature. Special care is taken to assure Galilei invariance. The effective…

Condensed Matter · Physics 2007-05-23 Adriaan M. J. Schakel
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