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We present a microscopic theory of the viscous electron fluid in the quantum Hall state based on the nonequilibrium Green's function method and the von Neumann lattice representation. This approach permits the formulation of hydrodynamic…

Mesoscale and Nanoscale Physics · Physics 2025-02-25 Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

We investigate theoretically and experimentally the optical beam propagation in the nematic liquid crystal with negative dielectric anisotropy, which is aligned homeotropically in a $80\mu m$-thickness planar cell in the presence of an…

Pattern Formation and Solitons · Physics 2015-03-09 Jing Wang , Zhenlei Ma , Junzhu Chen , Jinlong Liu , Zhuo Wang , Yiheng Li , Qi Guo , Wei Hu , Li Xuan

In the presence of mass anisotropy, anisotropic interaction, or in-plane magnetic field, quantum Hall droplets can exhibit shape deformation and internal geometrical degree of freedom. We characterize the geometry of quantum Hall states by…

Strongly Correlated Electrons · Physics 2020-03-03 Na Jiang , Siyao Ke , Hengxi Ji , Hao Wang , Zi-Xiang Hu , Xin Wan

Anisotropic fluids appear in a diverse array of systems, from liquid-crystal displays to bacterial swarms, and are characterized by orientational order. Large colloidal particles immersed in such environments disturb the medium's…

Soft Condensed Matter · Physics 2025-01-03 Thomas G. J. Chandler , Saverio E. Spagnolie

We study the kinetics of the nematic-isotropic transition in a two-dimensional liquid crystal by using a lattice Boltzmann scheme that couples the tensor order parameter and the flow consistently. Unlike in previous studies, we find the…

Soft Condensed Matter · Physics 2009-11-07 Colin Denniston , Enzo Orlandini , J. M. Yeomans

We use a fully self-consistent laterally resolved Hartree-Fock approximation for numerically addressing the electron configurations at higher Landau levels in the quantum Hall regime for near-macroscopic sample sizes. Our results give…

Strongly Correlated Electrons · Physics 2020-10-07 Josef Oswald , Rudolf A. Römer

Edge reconstruction of gate-tunable compressible quantum Hall fluids in the filling fraction range 1/3 to 2/3 is studied by measuring transmitted conductance of two individually excited fractional $e^2/3h$ edge modes of bulk 2/3 fractional…

We report on a strong transport anisotropy in a 2D hole gas in a Ge/SiGe quantum well, which emerges only when both perpendicular and in-plane magnetic fields are present. The ratio of resistances, measured along and perpendicular to the…

Mesoscale and Nanoscale Physics · Physics 2015-11-18 Q. Shi , M. A. Zudov , C. Morrison , M. Myronov

Liquid crystalline phases of matter permeate nature and technology, with examples ranging from cell membranes to liquid-crystal displays. Remarkably, electronic liquid crystal phases can exist in two-dimensional electron systems (2DES) at…

Mesoscale and Nanoscale Physics · Physics 2017-11-20 Q. Qian , J. Nakamura , S. Fallahi , G. C. Gardner , M. J. Manfra

Aqueous dispersions of exfoliated, bile-salt stabilized single-wall carbon nanotubes exhibit a first order transition to a nematic liquid-crystalline phase. The nematic phase presents itself in the form of micron-sized nematic droplets also…

Soft Condensed Matter · Physics 2013-06-25 Nicolas Puech , Eric Grelet , Philippe Poulin , Christophe Blanc , Paul van der Schoot

We study two-dimensional (2D) droplets of noninteracting electrons in a strong magnetic field, placed in a confining potential with arbitrary shape. Using semiclassical methods adapted to the lowest Landau level, we obtain near-Gaussian…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Blagoje Oblak , Bastien Lapierre , Per Moosavi , Jean-Marie Stéphan , Benoit Estienne

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 consider domain walls in nematic quantum Hall ferromagnets predicted to form in multivalley semiconductors, recently probed by scanning tunnelling microscopy experiments on Bi(111) surfaces. We show that the domain wall properties depend…

Strongly Correlated Electrons · Physics 2019-10-11 Kartiek Agarwal , Mallika T. Randeria , A. Yazdani , S. L. Sondhi , S. A. Parameswaran

In the quantum anomalous Hall effect, quantized Hall resistance and vanishing longitudinal resistivity are predicted to result from the presence of dissipationless, chiral edge states and an insulating 2D bulk, without requiring an external…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 E. J. Fox , I. T. Rosen , Yanfei Yang , George R. Jones , Randolph E. Elmquist , Xufeng Kou , Lei Pan , Kang L. Wang , D. Goldhaber-Gordon

We find an unusual anisotropy of the inplane field magnetoresistance in ultra-high mobility SiGe/Si/SiGe quantum wells. The anisotropy depends on the orientation between the inplane field, $B_\parallel$, and current, $I$, relative to the…

Mesoscale and Nanoscale Physics · Physics 2017-12-11 M. Yu. Melnikov , V. T. Dolgopolov , A. A. Shashkin , S. -H. Huang , C. W. Liu , S. V. Kravchenko

Transport experiments in high mobility (110) GaAs heterostructures have been performed at very low temperatures 8 mK. At higher Landau-Levels we observe a transport anisotropy that bears some similarity with what is already seen at…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Frank Fischer , Matthew Grayson , Erwin Schuberth , Dieter Schuh , Max Bichler , Gerhard Abstreiter

Electronic nematicity, proposed to exist in a number of transition metal materials, can have different microscopic origins. In particular, the anisotropic resistivity and meta-magnetic jumps observed in Sr3Ru2O7 are consistent with an…

Strongly Correlated Electrons · Physics 2015-05-28 Christoph M. Puetter , Sylvia D. Swiecicki , Hae-Young Kee

We analyze density profiles for atomic quantum Hall states, which are expected to form in systems of rotating cold atoms in the high-rotation limit. For a two-dimensional (single-layer) system we predict a density landscape showing plateaus…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. R. Cooper , F. J. M. van Lankvelt , J. W. Reijnders , K. Schoutens

Hall effect and magnetoresistance have been measured on single crystals of the parent phase NaFeAs under a uniaxial pressure. Although significant difference of the in-plane resistivity $\rho_{xx}(I\parallel a)$ and $\rho_{xx}(I\parallel…

Superconductivity · Physics 2015-09-21 Qiang Deng , Jie Xing , Jianzhong Liu , Huan Yang , Hai-Hu Wen

We study the physics of $\nu=1/2$ bosonic fractional quantum Hall droplets confined in a ring-shaped region delimited by two concentric cylindrically symmetric hard-wall potentials. Trial wave functions based on an extension of the Jack…

Quantum Gases · Physics 2018-07-06 Elia Macaluso , Iacopo Carusotto