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We study the influence of an in-plane magnetic field and Coulomb interactions on the physics of quantum spin Hall insulators, like those in InAs/GaSb and HgTe/CdTe quantum wells. Using a Hartree-Fock mean-field theory approximation, we…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 Yongxin Zeng , Fei Xue , Allan H. MacDonald

We study the phase diagram of $\nu_e=7/3$ state in the $N=1$ Landau level in the presence of band mass anisotropy. Using density matrix renormalization group on an infinite cylinder geometry, we find a continuous transition from the…

Strongly Correlated Electrons · Physics 2022-09-07 Prashant Kumar , R. N. Bhatt

At very large tilt of the magnetic (B) field with respect to the plane of a two-dimensional electron system the transport in the integer quantum Hall regime at $\nu$ = 4, 6, and 8 becomes strongly anisotropic. At these filling factors the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 W. Pan , H. L. Stormer , D. C. Tsui , L. N. Pfeiffer , K. W. Baldwin , K. W. West

We present observations of an anisotropic resistance state at Landau level filling factor $\nu=5/2$ in a two-dimensional hole system (2DHS), which occurs for certain values of hole density $p$ and average out-of-plane electric field…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 A. F. Croxall , F. Sfigakis , J. Waldie , I. Farrer , D. A. Ritchie

We study anisotropic lattice strips in the presence of a magnetic field in the quantum Hall effect regime. At specific magnetic fields, causing resonant Umklapp scattering, the system is gapped in the bulk and supports chiral edge states in…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Jelena Klinovaja , Daniel Loss

By breaking the time-reversal-symmetry in three-dimensional topological insulators with introduction of spontaneous magnetization or application of magnetic field, the surface states become gapped, leading to quantum anomalous Hall effect…

Mesoscale and Nanoscale Physics · Physics 2019-06-26 R. Yoshimi , K. Yasuda , A. Tsukazaki , K. S. Takahashi , N. Nagaosa , M. Kawasaki , Y. Tokura

We study broken symmetry states at integer Landau level fillings in multivalley quantum Hall systems whose low energy dispersions are anisotropic. When the Fermi surface of individual pockets lacks twofold rotational symmetry, like in…

Strongly Correlated Electrons · Physics 2017-12-29 Inti Sodemann , Zheng Zhu , Liang Fu

Recently reported giant anisotropy in the longitudinal resistivity of a 2D electron system with valence Landau level index $N \ge 2$ has been interpreted as a signal of unidirectional charge density wave (UCDW) ground states. We report on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Jungwirth , A. H. MacDonald , L. Smrcka , S. M. Girvin

Electronic stripe/nematic phases are fascinating strongly-correlated states characterized by spontaneous rotational symmetry breaking. In the quantum Hall regime, such phases typically emerge at half-filled, high-orbital-index ($N\geq2$)…

Mesoscale and Nanoscale Physics · Physics 2025-12-16 Chengyu Wang , Siddharth K. Singh , Chia-Tse Tai , Adbhut Gupta , Loren N. Pfeiffer , Kirk W. Baldwin , Mansour Shayegan

In a 2D electron system in (001) GaAs/AlGaAs upon filling high Landau levels, it was recently observed a new class of collective states, which are recognized now to relate to the spontaneous formation of a charge density wave (``stripe…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 E. E. Takhtamirov , V. A. Volkov

Spontaneous breaking of rotational symmetry and preferential orientation of stripe phases in the quantum Hall regime has attracted considerable experimental and theoretical effort over the last decade. We demonstrate experimentally and…

The observed quantization of the Hall conductivity in graphene at high magnetic fields is explained as being due to the dynamically generated spatial modulation of either the electron spin or the density, as decided by the details of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Igor F. Herbut

We report a new correlated phase of two-dimensional charged carriers in high magnetic fields, manifested by an anisotropic insulating behavior at low temperatures. It appears near Landau level filling factor $\nu=1/2$ in hole systems…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 Yang Liu , S. Hasdemir , L. N. Pfeiffer , K. W. West , K. W. Baldwin , M. Shayegan

We investigate quantum Hall stripes under in-plane magnetic field $B_\parallel$ in a variable-density two-dimensional electron gas. At filling factor $\nu = 9/2$, we observe one, two, and zero $B_\parallel$-induced reorientations at low,…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Q. Shi , M. A. Zudov , Q. Qian , J. D. Watson , M. J. Manfra

We use the Hamiltonian theory developed by Shankar and Murthy to study a quantum Hall system in a tilted magnetic field. With a finite width of the system in the $z$ direction, the parallel component of the magnetic field introduces…

Strongly Correlated Electrons · Physics 2018-12-05 Kang Yang , Mark Oliver Goerbig , Benoît Douçot

We investigate the nature of the quantum Hall liquid in a half-filled second Landau level ($n=1$) as a function of band mass anisotropy using numerical exact diagonalization (ED) and density matrix renormalization group (DMRG) methods. We…

Strongly Correlated Electrons · Physics 2017-10-27 Zheng Zhu , Inti Sodemann , D. N. Sheng , Liang Fu

Mean-field theory predicts that bilayer quantum Hall systems at odd integer total filling factors can have stripe ground states in which the top Landau level is occupied alternately by electrons in one of the two layers. We report on an…

Strongly Correlated Electrons · Physics 2009-11-07 Emiliano Papa , John Schliemann , Allan H. MacDonald , Matthew P. A. Fisher

We analyze various properties of the visibility diagrams that can be used in the context of modular symmetries and confront them to some recent experimental developments in the Quantum Hall Effect. We show that a suitable physical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Georgelin , T. Masson , J. -C. Wallet

We study the spectral properties of infinite rectangular quantum graphs in the presence of a magnetic field. We study how these properties are affected when three-dimensionality is considered, in particular, the chaological properties. We…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 N. Goldman , P. Gaspard

We study the fractional quantum Hall effect in a bilayer with charge-distribution imbalance induced, for instance, by a bias gate voltage. The bilayer can either be intrinsic or it can be formed spontaneously in wide quantum wells, due to…

Strongly Correlated Electrons · Physics 2013-10-01 N. Thiebaut , N. Regnault , M. O. Goerbig