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We study the zero-temperature phase diagram of the 2D quantum $J_{1}^{XXZ}$--$J_{2}^{XXZ}$ spin-1/2 anisotropic Heisenberg model on the square lattice. In particular, the effects of the anisotropy $\Delta$ on the $z$-aligned N\'{e}el and…

Strongly Correlated Electrons · Physics 2008-08-14 R. F. Bishop , P. H. Y. Li , R. Darradi , J. Schulenburg , J. Richter

The presence of edge channels in the quantum Hall regime leads to dissipationless charge transport over long distances. When graphene is interfaced with a magnetic material, the exchange interaction lifts the Landau levels spin degeneracy.…

Mesoscale and Nanoscale Physics · Physics 2026-02-10 Maxen Cosset-Chéneau , Boxuan Yang , Bart J. van Wees

We report the observation of an acute sensitivity of the anisotropic longitudinal resistivity of two-dimensional electron systems in half-filled high Landau levels to the magnitude and orientation of an in-plane magnetic field. In the third…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Lilly , K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

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

The recently discovered anisotropy of the longitudinal resistance of two-dimensional electrons near half filling of high Landau levels is found to persist to much higher temperatures T when a large in-plane magnetic field B|| is applied.…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 K. B. Cooper , M. P. Lilly , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

Stationary periodic patterns are widespread in natural sciences, ranging from nano-scale electrochemical and amphiphilic systems to mesoscale fluid, chemical and biological media and to macro-scale vegetation and cloud patterns. Their…

Pattern Formation and Solitons · Physics 2020-07-03 Alon Z. Shapira , Hannes Uecker , Arik Yochelis

We show that, when a finite anisotropic Heisenberg spin-1/2 chain in the gapped regime is driven far from equilibrium, oppositely polarized ferromagnetic domains build up at the edges of the chain, thus suppressing quantum spin transport.…

Strongly Correlated Electrons · Physics 2009-02-03 Giuliano Benenti , Giulio Casati , Tomaz Prosen , Davide Rossini

A recent study has revealed that the low carrier density electron gas (2DEG) induced at the interface of EuO and (111) KTaO$_3$ exhibits a broken symmetry phase with a strong in-plane anisotropy of the resistivity. We present a minimal…

Strongly Correlated Electrons · Physics 2021-01-20 P. Villar Arribi , A. Paramekanti , Michael R. Norman

The incompressible Quantum Hall strip is sensitive to charging of localized states in the cyclotron gap. We study the effect of localized states by a density functional approach and find electron density and the strip width as a function of…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 Ivan A. Larkin , L. S. Levitov

We have investigated two-electron bound state formation in a square two-dimensional t-J-U model with hopping anisotropies for zero electron density; these anisotropies are introduced to mimic the hopping energies similar to those expected…

Strongly Correlated Electrons · Physics 2009-10-31 Saurabh Basu , R. J. Gooding , P. W. Leung

Electrons that are confined to a single Landau level in a two dimensional electron gas realize the effects of strong electron-electron repulsion in its purest form. The kinetic energy of individual electrons is completely quenched and all…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 David F. Mross , Yuval Oreg , Ady Stern , Gilad Margalit , Moty Heiblum

Spatio-temporal pattern formation in complex systems presents rich nonlinear dynamics which leads to the emergence of periodic nonequilibrium structures. One of the most prominent equations for the theoretical and numerical study of the…

Pattern Formation and Solitons · Physics 2021-08-31 Daniel L. Coelho , Eduardo Vitral , José Pontes , Norberto Mangiavacchi

Stripe phases, in which the rotational symmetry of charge density is spontaneously broken, occur in many strongly correlated systems with competing interactions. One representative example is the copper-oxide superconductors, where stripe…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Chenhao Jin , Zui Tao , Tingxin Li , Yang Xu , Yanhao Tang , Jiacheng Zhu , Song Liu , Kenji Watanabe , Takashi Taniguchi , James C. Hone , Liang Fu , Jie Shan , Kin Fai Mak

Magneto-transport experiments on high mobility two-dimensional electron gases in GaAs/AlGaAs heterostructures have revealed striking anomalies near half-filling of several spin-resolved, yet highly excited, Landau levels. These anomalies…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 M. P. Lilly , K. B. Cooper , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

We study the role of anisotropy on the transport properties of composite fermions near Landau level filling factor $\nu=1/2$ in two-dimensional holes confined to a GaAs quantum well. By applying a parallel magnetic field, we tune the…

Mesoscale and Nanoscale Physics · Physics 2016-07-20 M. A. Mueed , D. Kamburov , S. Hasdemir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We examine the effect of disorder on the electromagnetic response of quantum Hall stripes using an effective elastic theory to describe their low-energy dynamics, and replicas and the Gaussian variational method to handle disorder effects.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Meirong Li , H. A. Fertig , R. Cote , Hangmo Yi

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

We investigate the anisotropic effect of magnetization plateaus in the antiferromagnetic Heisenberg model on a kagome strip chain. The kagome strip chain Heisenberg model, composed of a hexagonal net of triangles forming five-site unit…

Strongly Correlated Electrons · Physics 2026-01-07 Chiara Bruzzi , Jian-Xin Zhu , Yixuan Huang

I review some aspects of an alternative model of the quantum Hall effect, which is not based on the presence of disorder potentials. Instead, a quantization of the electronic drift current in the presence of crossed electric and magnetic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tobias Kramer

Magnetic behavior of BaMoP$_2$O$_8$ with the spatially anisotropic triangular arrangement of the $S=1$ Mo$^{4+}$ ions is explored using thermodynamic measurements, neutron diffraction, and density-functional band-structure calculations. A…