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It is shown that electron-electron interactions lead to a novel quantum-interference contribution to non-equilibrium current noise in mesoscopic conductors. The corresponding noise spectrum is obtained in detail for diffusive systems. It is…

Mesoscale and Nanoscale Physics · Physics 2008-02-03 Felix von Oppen , Ady Stern

We calculate the non-symmetrized finite-frequency NS-FF noise for a single-level quantum dot connected to reservoirs in the spinless non-interacting case. The calculations are performed within the framework of the Keldysh Green's function…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 Redouane Zamoum , Mireille Lavagna , Adeline Crépieux

Quantum interference is investigated within the complex quantum Hamilton-Jacobi formalism. As shown in a previous work [Phys. Rev. Lett. 102, 250401 (2009)], complex quantum trajectories display helical wrapping around stagnation tubes and…

Quantum Physics · Physics 2010-09-09 Chia-Chun Chou , Angel S. Sanz , Salvador Miret-Artes , Robert E. Wyatt

Electronic systems harboring one dimensional helical modes, where the spin and momentum of the electron are locked, have lately become an important field of its own. When coupled to a conventional superconductor, such systems are expected…

Mesoscale and Nanoscale Physics · Physics 2018-05-08 Yuval Ronen , Yonatan Cohen , Daniel Banitt , Moty Heiblum , Vladimir Umansky

We calculate low-frequency noise (LFN) in a quantum point contact (QPC) which is electrostatically defined in a 2D electron gas of a GaAs-AlGaAs heterostructure. The conventional source of LFN in such systems are scattering potentials…

Condensed Matter · Physics 2009-10-22 J. P. Hessling , Yu. Galperin

We study superconducting quantum interference in a Josephson junction linked via edge states in two-dimensional (2D) insulators. We consider two scenarios in which the 2D insulator is either a topological or a trivial insulator supporting…

Mesoscale and Nanoscale Physics · Physics 2022-08-16 Tamás Haidekker Galambos , Silas Hoffman , Patrik Recher , Jelena Klinovaja , Daniel Loss

We theoretically study a charge qubit interacting with electrons in a semi-infinite 1D wire. The system displays the physics of the Fermi edge singularity. Our results generalize known results for the Fermi-edge system to the regime where…

Strongly Correlated Electrons · Physics 2013-02-25 A. Sheikhan , I. Snyman

We study the current noise through an unbiased quantum electron pump and its mesoscopic fluctuations for arbitrary temperatures and beyond the bilinear response. In the bilinear regime, we find the full distributions of the noise power and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. L. Polianski , M. G. Vavilov , P. W. Brouwer

We study Cooper pair transport through a quantum point contact between a superconductor and a quantum Hall edge state at integer and fractional filling factors. We calculate the tunnelling current and its finite-frequency noise to the…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Andreas B. Michelsen , Thomas L. Schmidt , Edvin G. Idrisov

Questions on the nature of edge reconstruction and "where does the current flow" in the quantum Hall effect (QHE) have been debated for years. Moreover, the recent observation of proliferation of "upstream" neutral modes in the fractional…

New experiments that measure the low-frequency shot-noise spectrum at local tunneling contacts on mesoscopic structures are proposed. The current fluctuation spectrum at a single tunneling tip is determined by local partial densities of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Gramespacher , Markus Buttiker

Motivated by surprises in recent experimental findings, we study transport in a model of a quantum Hall edge system with a gate-voltage controlled constriction. A finite backscattered current at finite edge-bias is explained from a…

Mesoscale and Nanoscale Physics · Physics 2008-02-04 Siddhartha Lal

The recent, unexpected, findings of upstream neutral modes in particle-like fractional quantum Hall states, led to a realization that the nature of the neutral modes is far from being understood. Moreover, the observation of spatially…

Quantum point contact devices are indispensable tools for probing the edge structure of the fractional quantum Hall (FQH) states. Recent observations of quantized conductance plateaus accompanied by shot noise in such devices, as well as…

Mesoscale and Nanoscale Physics · Physics 2020-03-04 Christian Spånslätt , Jinhong Park , Yuval Gefen , Alexander D. Mirlin

Using photoluminescence microscopy enhanced by MRI, we visualize in real space both electron and nuclear polarization occurring in non-equilibrium FQH liquids. We observe stripe-like regions comprising FQH excited states which discretely…

Mesoscale and Nanoscale Physics · Physics 2017-02-22 John N. Moore , Junichiro Hayakawa , Takaaki Mano , Takeshi Noda , Go Yusa

Electrical currents in a quantum spin Hall insulator are confined to the boundary of the system. The charge carriers can be described as massless relativistic particles, whose spin and momentum are coupled to each other. While the helical…

We investigate fractional quantum Hall effect at finite temperature using a fermion Chern-Simons field theoretical approach. In the absence of impurity scattering, the essential aspects of fractional quantum Hall effect, such as the…

Condensed Matter · Physics 2016-08-31 Lizeng Zhang

A fractional quantum Hall liquid with multiple edges is considered. The computation of transport quantities such as current, noise and noise cross correlations in such multiple edge samples requires the implementation of so called Klein…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. Guyon , P. Devillard , T. Martin , I. Safi

We study the interplay of confining potential, electron-electron interaction, and Zeeman splitting at the edges of fractional quantum Hall liquids, using numerical diagonalization of finite-size systems. The filling factors studied include…

Strongly Correlated Electrons · Physics 2015-06-17 Yuhui Zhang , Zi-Xiang Hu , Kun Yang

We carry out numerical diagonalization for much larger systems than before by restricting the fractional quantum Hall (FQH) edge excitations to a basis that is exact for a short-range interaction and very accurate for the Coulomb…

Strongly Correlated Electrons · Physics 2010-05-25 Shivakumar Jolad , Jainendra K. Jain