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Bilayer quantum Hall systems have a broken symmetry ground state at filling factor $\nu=1$ which can be viewed either as an excitonic superfluid or as a pseudospin ferromagnet. We present a theory of inter-layer transport in quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Enrico Rossi , Alvaro S. Núñez , A. H. MacDonald

For sufficiently strong in-plane magnetic field a $\nu_T=1$ bilayer quantum Hall pseudo-ferromagnet is expected to exhibit a soliton lattice. For sufficiently close layers and large in-plane field, we predict this incommensurate ``planar''…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Leo Radzihovsky

The tilting angular dependence of the energy gap was measured in the bilayer quantum Hall state at the Landau level filling $\nu=1$ by changing the density imbalance between the two layers. The observed gap behavior shows a continuous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 D. Terasawa , M. Morino , K. Nakada , S. Kozumi , A. Sawada , Z. F. Ezawa , N. Kumada , K. Muraki , Y. Hirayama , T. Saku

We investigate a domain structure of pseudospins, a soliton lattice in the bilayer quantum Hall state at total Landau level filling factor $\nu =1$, in a tilted magnetic field, where the pseudospin represents the layer degree of freedom. An…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 A. Fukuda , D. Terasawa , M. Morino , K. Iwata , S. Kozumi , N. Kumada , Y. Hirayama , Z. F. Ezawa , A. Sawada

Pseudospin solitons in double-layer quantum Hall systems can be introduced by a magnetic field component coplanar with the electrons and can be pinned by applying voltages to external gates. We estimate the temperature below which depinning…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jordan Kyriakidis , Daniel Loss , A. H. MacDonald

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

The transport in double-barrier heterostructures of electrons interacting with longitudinal optical phonons in the presence of parallel electric and magnetic fields is analyzed theoretically with the aid of a 3-dimensional quantum transport…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Dae Kwan Kim , Patrick Roblin , Kwang-Sup Soh , Chul Koo Kim

A new manifestation of interlayer coherence in strongly polarized double layer quantum Hall systems with total filling factor $\nu=1$ in the presence of a small or zero tunneling is theoretically predicted. It is shown that moving (for…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 R. Khomeriki , M. Abolfath , K. Mullen

Spontaneous order of layer pseudospins in two-dimensional bilayers is common in quantum Hall systems, where it is responsible for hysteretic responses to gate fields in states with Ising order, and giant drag voltages in states with XY…

Strongly Correlated Electrons · Physics 2022-10-19 Yongxin Zeng , Nemin Wei , Allan H. MacDonald

A proposal to detect the purported canted antiferromagnet order for the $\nu=0$ quantum Hall state of graphene based on a two-terminal spin transport setup is theoretically discussed. In the presence of a magnetic field normal to the…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 So Takei , Amir Yacoby , Bertrand I. Halperin , Yaroslav Tserkovnyak

We investigate the quantum Hall effect in a single Landau level in the presence of a square superlattice of $\delta$-function potentials. The interplay between the superlattice spacing $a_s$ and the magnetic length $\ell_B$ in clean system…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 Nilanjan Roy , Bo Peng , Bo Yang

We investigate electronic transport in dual-gated twisted bilayer graphene. Despite the sub-nanometer proximity between the layers, we identify independent contributions to the magnetoresistance from the graphene Landau level spectrum of…

We study magnetotransport in a high mobility Si two-dimensional electron system by in situ tilting of the sample relative to the magnetic field. A pronounced dip in the longitudinal resistivity is observed during the Landau level crossing…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Tohru Okamoto , Kohei Sasaki , Kiyohiko Toyama , Ryuichi Masutomi , Kentarou Sawano , Yasuhiro Shiraki

In a Bernal-stacked graphene bilayer, an electronic state in Landau level $% N=0$ is described by its guiding-center index $X$ (in the Landau gauge) and by its valley, spin, and orbital indices $\xi =\pm K,\sigma =\pm 1,$ and $% n=0,1.$…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 J. Lambert , R. Côté

The helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

It is pointed out recently that the $\nu=1/m$ quantum Hall states in bilayer systems behave like easy plane quantum ferromagnets. We study the magnetotransport of these systems using their ``ferromagnetic" properties and a novel spin-charge…

Condensed Matter · Physics 2009-10-22 Tin-Lun Ho

Broken symmetry ground states with uniform electron density are common in quantum Hall systems when two Landau levels simultaneously approach the chemical potential at integer filling factor $\nu$. The close analogy between these…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. Jungwirth , A. H. MacDonald

We study the spin quantum Hall effect and transitions between Hall plateaus in quasi two-dimensional network models consisting of several coupled layers. Systems exhibiting the spin quantum Hall effect belong to class C in the symmetry…

Disordered Systems and Neural Networks · Physics 2015-03-18 J. T. Chalker , M. Ortuño , A. M. Somoza

Filling factor $\nu=1$ incompressible states in ideal bilayer quantum Hall systems have spontaneous interlayer phase coherence and can be regarded either as easy-plane pseudospin ferromagnets or as condensates of excitons formed from…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Anton A. Burkov , Yogesh N. Joglekar , Enrico Rossi , Allan H. MacDonald

Using exact diagonalization of bilayer quantum Hall systems at total filling factor $\nu_T=1$ in the torus geometry, we show that there is a new long-range interlayer phase coherence due to spontaneous pseudospin spiral order at interlayer…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 K. Park
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