Browsing by Author "Halperin, Bertrand"
Now showing items 1-20 of 39
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Charge Fractionalization in Non-Chiral Luttinger Systems
Le Hur, Karyn; Halperin, Bertrand; Yacoby, Amir (Elsevier, 2008)One-dimensional metals, such as quantum wires or carbon nanotubes, can carry charge in arbitrary units, smaller or larger than a single electron charge. However, according to Luttinger theory, which describes the low-energy ... -
Charge Fractionalization in Quantum Wires
Steinberg, Hadar; Barak, Gilad; Yacoby, Amir; Pfeiffer, Loren N.; West, Ken W.; Halperin, Bertrand; Le Hur, Karyn (Nature Publishing Group, 2008)Although the unit of charge in nature is a fundamental constant, the charge of individual quasiparticles in some low-dimensional systems may be fractionalized. Quantum one-dimensional (1D) systems, for instance, are ... -
Collective States of Non-Abelian Quasiparticles in a Magnetic Field
Levin, Michael; Halperin, Bertrand (American Physical Society, 2009)Motivated by the physics of the Moore-Read nu=1/2 state away from half filling, we investigate collective states of non-Abelian e/4 quasiparticles in a magnetic field. We consider two types of collective states: incompressible ... -
Controlled finite momentum pairing and spatially varying order parameter in proximitized HgTe quantum wells
Hart, Sean; Ren, Hechen; Kosowsky, Michael Steven; Ben-Shach, Gilad; Leubner, Philipp; Brune, Christopher; Buhmann, Hartmut; Molenkamp, Laurens; Halperin, Bertrand I.; Yacoby, Amir (Springer Nature, 2016)Conventional s-wave superconductivity is understood to arise from singlet pairing of electrons with opposite Fermi momenta, forming Cooper pairs whose net momentum is zero[1]. Several recent studies have focused on structures ... -
Decay of superfluid currents in a moving system of strongly interacting bosons
Polkovnikov, A.; Altman, E.; Demler, Eugene A.; Halperin, Bertrand I.; Lukin, Mikhail D. (American Physical Society (APS), 2005)We analyze the stability and decay of supercurrents of strongly interacting bosons on optical lattices. At the mean-field level, the system undergoes an irreversible dynamic phase transition, whereby the current decays ... -
Detecting Majorana modes in one-dimensional wires by charge sensing
Ben-Shach, Gilad; Haim, Arbel; Appelbaum, Ian; Oreg, Yuval; Yacoby, Amir; Halperin, Bertrand I. (American Physical Society (APS), 2015)The electron number parity of the ground state of a semiconductor nanowire proximity coupled to a bulk superconductor can alternate between the quantized values ±1 if parameters such as the wire length L, the chemical ... -
Detecting Non-Abelian Anyons by Charging Spectroscopy
Ben-Shach, Gilad; Laumann, Chris; Neder, I.; Yacoby, Amir; Halperin, Bertrand I. (American Physical Society (APS), 2013)Observation of non-Abelian statistics for the \(e/4\) quasiparticles in the \(\nu =\frac{5}{2}\) fractional quantum Hall state remains an outstanding experimental problem. The non-Abelian statistics are linked to the ... -
Driven Nonlinear Dynamics of Two Coupled Exchange-Only Qubits
Pal, Arijeet; Rashba, Emmanuel; Halperin, Bertrand I. (American Physical Society (APS), 2014)Inspired by the creation of a fast exchange-only qubit [Medford et al., Phys. Rev. Lett. 111, 050501 (2013)], we develop a theory describing the nonlinear dynamics of two such qubits that are capacitively coupled, when one ... -
Dynamic Nuclear Polarization in Double Quantum Dots
Gullans, Michael John; Krich, Jacob Jonathan; Taylor, Jacob Mason; Bluhm, Hendrik; Halperin, Bertrand I.; Marcus, Charles Masamed; Stopa, Michael P; Yacoby, Amir; Lukin, Mikhail D. (American Physical Society, 2010)We theoretically investigate the controlled dynamic polarization of lattice nuclear spins in GaAs double quantum dots containing two electrons. Three regimes of long-term dynamics are identified, including the buildup of ... -
Electron Spin-Flip Correlations Due to Nuclear Dynamics in Driven GaAs Double Dots
Pal, Arijeet; Nichols, John; Shulman, Michael; Harvey, Shannon; Umansky, Vladimir; Rashba, Emmanuel; Yacoby, Amir; Halperin, Bertrand (American Physical Society (APS), 2017-01-18)We present experimental data and associated theory for correlations in a series of experiments involving repeated Landau-Zener sweeps through the crossing point of a singlet state and a spin-aligned triplet state in a GaAs ... -
Electron-hole asymmetric integer and fractional quantum Hall effect in bilayer graphene
Kou, Angela; Feldman, Benjamin Ezekiel; Levin, Andrei Joseph; Halperin, Bertrand I.; Watanabe, Kenji; Taniguchi, Takashi; Yacoby, Amir (American Association for the Advancement of Science (AAAS), 2014)The nature of fractional quantum Hall (FQH) states is determined by the interplay between the Coulomb interaction and the symmetries of the system. The unique combination of spin, valley, and orbital degeneracies in bilayer ... -
Exact CNOT gates with a single nonlocal rotation for quantum-dot qubits
Pal, Arijeet; Rashba, Emmanuel; Halperin, Bertrand I. (American Physical Society (APS), 2015)We investigate capacitively-coupled exchange-only two-qubit quantum gates based on quantum dots. For exchange-only coded qubits electron spin S and its projection Sz are exact quantum numbers. Capacitive coupling between ... -
Fractional Quantum Hall Phase Transitions and Four-Flux States in Graphene
Feldman, Benjamin Ezekiel; Levin, Andrei Joseph; Krauss, Benjamin; Abanin, Dmitry; Halperin, Bertrand I.; Smet, Jurgen H.; Yacoby, Amir (American Physical Society (APS), 2013)Graphene and its multilayers have attracted considerable interest because their fourfold spin and valley degeneracy enables a rich variety of broken-symmetry states arising from electron-electron interactions, and raises ... -
Hartree-Fock calculations of a finite inhomogeneous quantum wire
Qian, Jiang; Halperin, Bertrand (The American Physical Society, 2008)We use the Hartree-Fock method to study an interacting one-dimensional electron system on a finite wire, partially depleted at the center by a smooth potential barrier. A uniform 1 T Zeeman field is applied throughout the ... -
Imaging and Manipulating Electrons in a 1D Quantum Dot with Coulomb Blockade Microscopy
Qian, Jiang; Halperin, Bertrand I.; Heller, Eric J. (American Physical Society, 2010)Motivated by the recent experiments by the Westervelt group using a mobile tip to probe the electronic state of quantum dots formed on a segmented nanowire, we study the shifts in Coulomb blockade peak positions as a ... -
Interlayer Fractional Quantum Hall Effect in a Coupled Graphene Double Layer
Liu, Xiaomeng; Hao, Zeyu; Watanabe, Kenji; Taniguchi, Takashi; Halperin, Bertrand; Kim, Philip (Springer Science and Business Media LLC, 2019-06-24)When a strong magnetic field is applied to a two-dimensional (2D) electron system, interactions between the electrons can cause fractional quantum Hall (FQH) effects. Bringing two 2D conductors close to each other, a new ... -
Kondo Screening Cloud and the Charge Staircase in One-Dimensional Mesoscopic Devices
Pereira, Rodrigo G.; Laflorencie, Nicolas; Affleck, Ian; Halperin, Bertrand (American Physical Society, 2008)We propose that the finite size of the Kondo screening cloud, ξK , can be probed by measuring the charge quantization in a one-dimensional system coupled to a small quantum dot. When the chemical potential μ in the system ... -
Magnetoplasmon excitations and spin density instabilities in an integer quantum Hall system with a tilted magnetic field
Wang, Daw-Wei; Das Sarma, S.; Demler, Eugene A.; Halperin, Bertrand I. (American Physical Society (APS), 2002)We study the magnetoplasmon collective-mode excitations of integer quantum Hall systems in a paraboli- cally confined quantum well nanostructure in the presence of a tilted magnetic field by using the time- dependent ... -
Microscopic Properties of the Fractional Quantum Hall Effect
Kou, Angela (2013-10-18)The fractional quantum Hall effect occurs when an extremely clean 2-dimensional fermion gas is subject to a magnetic field. This simple set of circumstances creates phenomena, such as edge reconstruction and fractional ... -
Microwave-induced zero-resistance states are not necessarily static
Finkler, Ilya; Halperin, Bertrand (American Physical Society, 2009)We study the effect of inhomogeneities in Hall conductivity on the nature of the zero resistance states seen in the microwave irradiated two-dimensional electron systems in weak perpendicular magnetic fields and show that ...