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A two-dimensional array of quantum dots in a magnetic field is considered. The electrons in the quantum dots are described as unitary random matrix ensembles. The strength of the magnetic field is such that there is half a flux quantum per…

Condensed Matter · Physics 2009-10-28 K. Ziegler

In recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the $N=2$ Landau level. Without anisotropy,…

Strongly Correlated Electrons · Physics 2021-06-15 Yuchi He , Kang Yang , Mark Oliver Goerbig , Roger S. K. Mong

We study the linear thermoelectric response of a quantum dot embedded in a constriction of a quantum Hall bar with fractional filling factors nu=1/m within Laughlin series. We calculate the figure of merit ZT for the maximum efficiency at a…

Mesoscale and Nanoscale Physics · Physics 2018-02-21 Pablo Roura-Bas , Liliana Arrachea , Eduardo Fradkin

Quantum phase transitions in quantum matter occur at zero temperature between distinct ground states by tuning a nonthermal control parameter. Often, they can be accurately described within the Landau theory of phase transitions, similarly…

The pseudo-spin model for double layer quantum Hall system with total landau level filling factor $\nu=1$ is discussed. Unlike the "traditional" one where interlayer voltage enters as static magnetic field along pseudo- spin hard axis, in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ramaz Khomeriki , Lasha Tkeshelashvili , Tinatin Buishvili , Shota Revishvili

The quantum Hall effect is widely used for the investigation of fundamental phenomena, ranging from topological phases to composite fermions. In particular, the discovery of a room temperature resistance quantum in graphene is significant…

We report on our investigation of the low-lying energy spectra and charge density of a two-dimensional quantum Hall liquid at $\nu=\frac25$ that is Coulomb coupled to a quantum dot. The dot contains a hole and two/three electrons. We found…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 V. M. Apalkov , Tapash Chakraborty , C. Schuller

We study quantum Hall ferromagnets in the presence of a random electrostatic impurity potential, within the framework of a classical non-linear sigma model. We discuss the behaviour of the system using a heuristic picture for the…

Strongly Correlated Electrons · Physics 2010-02-25 D. K. K. Lee , S. Rapsch , J. T. Chalker

At low temperatures the phase diagram for the quantum Hall effect has a powerful symmetry arising from the Law of Corresponding States. This symmetry gives rise to an infinite order discrete group which is a generalisation of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Brian P. Dolan

We study the low-temperature transport properties of the systems of parallel quantum dots described by the N-impurity Anderson model. We calculate the quasiparticle scattering phase shifts, spectral functions and correlations as a function…

Mesoscale and Nanoscale Physics · Physics 2009-03-05 Rok Zitko , Janez Bonca

The behavior of electrons in condensed matter systems is mostly determined by the repulsive Coulomb interaction. However, under special circumstances the Coulomb interaction can be effectively attractive, giving rise to electron pairing in…

Mesoscale and Nanoscale Physics · Physics 2020-12-29 Giovanni A. Frigeri , Bernd Rosenow

We investigate theoretically the fractional quantum Hall effect at half-filling in the lowest Landau level observed in asymmetric wide quantum wells. The asymmetry can be achieved by a potential bias applied between the two sides of the…

Mesoscale and Nanoscale Physics · Physics 2014-05-21 N. Thiebaut , M. O. Goerbig , N. Regnault

The specific heat, magnetization and thermal expansion of single crystals of antiferromagnetic insulator EuTe, measured at temperatures down to 2 K and in magnetic fields up to 90 kOe, demonstrate non trivial properties. The Neel…

Strongly Correlated Electrons · Physics 2015-04-29 S. M. Stishov , A. E. Petrova , S. Yu. Gavrilkin , L. A. Klinkova

Two dimensional electron systems exhibiting the fractional quantum Hall effects are characterized by a quantized Hall conductance and a dissipationless bulk. The transport in these systems occurs only at the edges where gapless excitations…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Yogesh N. Joglekar , Hoang K. Nguyen , Ganpathy Murthy

Using a combination of heat pulse and nuclear magnetic resonance techniques we demonstrate that the phase boundary separating the interlayer phase coherent quantum Hall effect at $\nu_T = 1$ in bilayer electron gases from the weakly coupled…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 I. B. Spielman , L. A. Tracy , J. P. Eisenstein , L. N. Pfeiffer , K. W. West

In two-dimensional (2D) electron systems under strong magnetic fields, interactions can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors to proximity, a new set of correlated states can emerge due to interactions…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Xiaomeng Liu , Zeyu Hao , Kenji Watanabe , Takashi Taniguchi , Bertrand Halperin , Philip 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

Exploring a backgated low density two-dimensional hole sample in the large $r_s$ regime we found a surprisingly rich phase diagram. At the highest densities, beside the $\nu=1/3$, 2/3, and 2/5 fractional quantum Hall states, we observe both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. A. Csáthy , Hwayong Noh , D. C. Tsui , L. N. Pfeiffer , K. W. West

Two dimensional inversion symmetry ($180^{\circ}$ rotations in the ``Hall plane'' that hosts the incompressible electron fluid that exhibits the quantized Hall effect) is identified as its fundamental unbroken symmetry. A consequence is…

Mesoscale and Nanoscale Physics · Physics 2023-02-23 F. D. M. Haldane

We present results of extensive finite-temperature Quantum Monte Carlo simulations on a SU(2) symmetric S=1/2 quantum antiferromagnet with a four-spin interaction [Sandvik, Phys. Rev. Lett. 98, 227202 (2007)]. Our simulations, which are…

Strongly Correlated Electrons · Physics 2008-01-09 Roger G. Melko , Ribhu K. Kaul