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The equilibrium current distribution in a quantum Hall fluid that is subjected to a slowly varying confining potential is shown to generally consist of strips or channels of current, which alternate in direction, and which have universal…

Condensed Matter · Physics 2009-10-22 Michael R. Geller , Giovanni Vignale

To understand the role of electron correlation and disorder on persistent currents in isolated 1D rings threaded by magnetic flux $\phi$, we study the behavior of persistent currents in aperiodic and ordered binary alloy rings. These…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Santanu K. Maiti , J. Chowdhury , S. N. Karmakar

A ring-shaped array of Bose-Einstein condensed atomic gases can display circular currents if the relative phase of neighboring condensates becomes locked to certain values. It is shown that, irrespective of the mechanism responsible for…

Condensed Matter · Physics 2009-11-07 Gh. -S. Paraoanu

Persistent currents in quasi-one-dimensional Bose-Einstein condensates become chiral in the presence of current-density interactions. This phenomenon is explored in ultracold atoms loaded in a rotating ring geometry, where diverse…

In this paper, we study the zero temperature persistent current in a ferromagnetic Kondo lattice model in the strong coupling limit. In this model, there are spontaneous spin textures at some values of the external magnetic flux. These spin…

Strongly Correlated Electrons · Physics 2009-10-30 Jun Zang , S. A. Trugman , A. R. Bishop , H. Röder

The quantum Hall effect emerges when two-dimensional samples are subjected to strong magnetic fields at low temperatures: Topologically protected edge states cause a quantized Hall conductivity in multiples of $e^2/h$. Here we show that the…

Strongly Correlated Electrons · Physics 2024-10-11 Börge Göbel , Ingrid Mertig

The fractional quantum Hall effect (FQHE) is a canonical example of a topological phase in a correlated 2D electron gas under strong magnetic field. While electric currents propagate as chiral downstream edge modes, chargeless upstream…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Hiroyuki Inoue , Anna Grivnin , Yuval Ronen , Moty Heiblum , Vladimir Umansky , Diana Mahalu

We discuss the recent experiments on persistent current in metallic rings in the backdrop of low temperature decoherence. The observed size of the persistent current, typically on the order of the Thouless energy, $ e/\tau_D$, is much…

Soft Condensed Matter · Physics 2017-09-27 Pritiraj Mohanty

We analyze fluctuations of persistent current (PC) produced by a charged quantum particle moving in a ring and interacting with a dissipative environment formed by diffusive electron gas. We demonstrate that in the presence of interactions…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Andrew G. Semenov , Andrei D. Zaikin

We study the effects of correlations on a one dimensional ring threaded by a uniform magnetic flux. In order to describe the interaction between particles, we work in the framework of the U $\infty$ Hubbard and $t$-$J$ models. We focus on…

Condensed Matter · Physics 2009-10-28 V. Ferrari , G. Chiappe

We study lattice wave functions obtained from the SU(2)$_1$ Wess-Zumino-Witten conformal field theory. Following Moore and Read's construction, the Kalmeyer-Laughlin fractional quantum Hall state is defined as a correlation function of…

Strongly Correlated Electrons · Physics 2016-01-28 Benedikt Herwerth , Germán Sierra , Hong-Hao Tu , J. Ignacio Cirac , Anne E. B. Nielsen

We perform momentum-conserving tunneling spectroscopy using a GaAs cleaved-edge overgrowth quantum wire to investigate adjacent quantum Hall edge states. We use the lowest five wire modes with their distinct wave functions to probe each…

Mesoscale and Nanoscale Physics · Physics 2020-08-26 T. Patlatiuk , C. P. Scheller , D. Hill , Y. Tserkovnyak , J. C. Egues , G. Barak , A. Yacoby , L. N. Pfeiffer , K. W. West , D. M. Zumbühl

Effects of backward scattering between fractional quantum Hall (FQH) edge modes are studied. Based on the edge-state picture for hierarchical FQH liquids, we discuss the possibility of the transitions between different plateaux of the…

Condensed Matter · Physics 2009-10-31 Ken-Ichiro Imura

Quenching an ultracold bosonic gas in a ring across the Bose-Einstein condensation phase transition is known, and has been experimentally observed, to lead to the spontaneous emergence of persistent currents. The present work examines how…

Quantum Gases · Physics 2020-05-13 Thomas Bland , Quentin Marolleau , Paolo Comaron , Boris Malomed , Nick Proukakis

A persistent current qubit has two quantum states with opposite currents flowing in a superconducting loop. Their magnetic field couple to nuclear spins. The qubit state is not only perturbed by the spins but it also gets entangled with the…

Condensed Matter · Physics 2007-05-23 Jacek Dziarmaga

Quantum devices and computers will need operational units in different architectural configurations for their functioning. The unit should be a simple ``quantum toy'', easy to handle superposition states. Here a novel such unit of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Gen Tatara , N. Garcia

In this work we study quantum phase transitions and persistent currents in capacitively coupled one-dimensional Josephson-junction arrays. We will focus particularly on the roles of exciton-like pairs in the strong coupling limit in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Minchul Lee , Mahn-Soo Choi , M. Y. Choi

The electronic states in a corner-overgrown bent GaAs/AlGaAs quantum well heterostructure are studied with numerical Hartree simulations. Transmission electron microscope pictures of the junction justify the sharp-corner assumption. In a…

Starting from recently proposed bosonic mean field theories for fully and partially polarized quantum Hall states, we construct corresponding effective low energy theories for the edge modes. The requirements of gauge symmetry and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 T. H. Hansson , S. Viefers

Vorticity in closed quantum fluid circuits is known to arise in the form of persistent currents. In this work, we develop a method to engineer transport of the quantized vorticity between density-coupled ring-shaped atomic Bose-Einstein…