Trivial Zero

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Matej Pavšič - One of the best experts on this subject based on the ideXlab platform.

  • a non Trivial Zero length limit of the nambu goto string
    Physics Letters B, 2015
    Co-Authors: Matej Pavšič
    Abstract:

    Abstract We show that a Nambu–Goto string has a nonTrivial Zero length limit which corresponds to a massless particle with extrinsic curvature. The system has the set of six first class constraints, which restrict the phase space variables so that the spin vanishes. Upon quantization, we obtain six conditions on the state, which can be represented as a wave function of position coordinates, x μ , and velocities, q μ . We have found a wave function ψ ( x , q ) that turns out to be a general solution of the corresponding system of six differential equations, if the dimensionality of spacetime is eight. Although classically the system is just a point particle with vanishing extrinsic curvature and spin, the quantized system is not Trivial, because it is consistent in eight, but not in arbitrary, dimensions.

  • A non-Trivial Zero length limit of the Nambu–Goto string
    Physics Letters B, 2015
    Co-Authors: Matej Pavšič
    Abstract:

    Abstract We show that a Nambu–Goto string has a nonTrivial Zero length limit which corresponds to a massless particle with extrinsic curvature. The system has the set of six first class constraints, which restrict the phase space variables so that the spin vanishes. Upon quantization, we obtain six conditions on the state, which can be represented as a wave function of position coordinates, x μ , and velocities, q μ . We have found a wave function ψ ( x , q ) that turns out to be a general solution of the corresponding system of six differential equations, if the dimensionality of spacetime is eight. Although classically the system is just a point particle with vanishing extrinsic curvature and spin, the quantized system is not Trivial, because it is consistent in eight, but not in arbitrary, dimensions.

Sumanta Tewari - One of the best experts on this subject based on the ideXlab platform.

  • nonlocality of Zero bias anomalies in the topologically Trivial phase of majorana wires
    Physical Review B, 2014
    Co-Authors: Tudor D Stanescu, Sumanta Tewari
    Abstract:

    We show that the topologically Trivial Zero bias peak (ZBP) emerging in semiconductor Majorana wires due to soft confinement exhibits correlated splitting oscillations as a function of the applied Zeeman field, similar to the correlated splitting of the Majorana ZBP. Also, we find that the presence of a strong impurity can effectively cut the wire in two and destroy the correlated splitting in both the Trivial and the Majorana regimes. We identify a strong nonlocal effect that operates only in the topologically Trivial regime and demonstrate that the dependence of the ZBP on the confining gate potential at the opposite end in Majorana wires with two normal metal end-contacts represents a powerful tool for discriminating between topologically Trivial and nonTrivial ZBPs.

  • Topologically Trivial Zero-bias conductance peak in semiconductor Majorana wires from boundary effects
    Physical Review B, 2013
    Co-Authors: Dibyendu Roy, Nilanjan Bondyopadhaya, Sumanta Tewari
    Abstract:

    We show that a topologically Trivial Zero bias conductance peak (of height 4e^2/h) is produced in semiconductor-superconductor hybrid nanowires due to a suppressed pair potential and/or an excess Zeeman field at the ends of the heterostructure, both of which can occur in experiments. The Zero bias peak (ZBP) (a) appears above a threshold parallel bulk Zeeman field, (b) is stable for a range of bulk field before splitting, (c) disappears with rotation of the bulk Zeeman field, and, (d) is robust to weak disorder fluctuations. The ZBPs from the nanowire ends are also expected to produce splitting oscillations with the applied field similar to those from Majorana fermions. We find that the only unambiguous way to distinguish these Trivial ZBPs (of height 4e^2/h) from those arising from Majorana fermions (of height 2e^2/h) is by comparing the (Zero temperature) peak height and/or through an interference experiment

  • topologically Trivial Zero bias conductance peak in semiconductor majorana wires from boundary effects
    Physical Review B, 2013
    Co-Authors: Dibyendu Roy, Nilanjan Bondyopadhaya, Sumanta Tewari
    Abstract:

    We show that a topologically Trivial Zero-bias conductance peak is produced in semiconductor-superconductor hybrid structures due to a suppressed superconducting pair potential and/or an excess Zeeman field at the ends of the heterostructure, both of which can occur in experiments. The Zero-bias peak (ZBP) (a) appears above a threshold parallel bulk Zeeman field, (b) is stable for a range of bulk field before splitting, (c) disappears with rotation of the bulk Zeeman field, and (d) is robust to weak disorder fluctuations. The topologically Trivial ZBPs are also expected to produce splitting oscillations with the applied field similar to those from Majorana fermions. Because of such strong similarity with the phenomenology expected from Majorana fermions, we find that the only unambiguous way to distinguish these Trivial ZBPs (of height $4{e}^{2}/h$) from those arising from Majorana fermions (of height $2{e}^{2}/h$) is by comparing the (Zero-temperature) peak height and/or through an interference experiment.

Dibyendu Roy - One of the best experts on this subject based on the ideXlab platform.

  • Topologically Trivial Zero-bias conductance peak in semiconductor Majorana wires from boundary effects
    Physical Review B, 2013
    Co-Authors: Dibyendu Roy, Nilanjan Bondyopadhaya, Sumanta Tewari
    Abstract:

    We show that a topologically Trivial Zero bias conductance peak (of height 4e^2/h) is produced in semiconductor-superconductor hybrid nanowires due to a suppressed pair potential and/or an excess Zeeman field at the ends of the heterostructure, both of which can occur in experiments. The Zero bias peak (ZBP) (a) appears above a threshold parallel bulk Zeeman field, (b) is stable for a range of bulk field before splitting, (c) disappears with rotation of the bulk Zeeman field, and, (d) is robust to weak disorder fluctuations. The ZBPs from the nanowire ends are also expected to produce splitting oscillations with the applied field similar to those from Majorana fermions. We find that the only unambiguous way to distinguish these Trivial ZBPs (of height 4e^2/h) from those arising from Majorana fermions (of height 2e^2/h) is by comparing the (Zero temperature) peak height and/or through an interference experiment

  • topologically Trivial Zero bias conductance peak in semiconductor majorana wires from boundary effects
    Physical Review B, 2013
    Co-Authors: Dibyendu Roy, Nilanjan Bondyopadhaya, Sumanta Tewari
    Abstract:

    We show that a topologically Trivial Zero-bias conductance peak is produced in semiconductor-superconductor hybrid structures due to a suppressed superconducting pair potential and/or an excess Zeeman field at the ends of the heterostructure, both of which can occur in experiments. The Zero-bias peak (ZBP) (a) appears above a threshold parallel bulk Zeeman field, (b) is stable for a range of bulk field before splitting, (c) disappears with rotation of the bulk Zeeman field, and (d) is robust to weak disorder fluctuations. The topologically Trivial ZBPs are also expected to produce splitting oscillations with the applied field similar to those from Majorana fermions. Because of such strong similarity with the phenomenology expected from Majorana fermions, we find that the only unambiguous way to distinguish these Trivial ZBPs (of height $4{e}^{2}/h$) from those arising from Majorana fermions (of height $2{e}^{2}/h$) is by comparing the (Zero-temperature) peak height and/or through an interference experiment.

Annica M. Black-schaffer - One of the best experts on this subject based on the ideXlab platform.

  • Supercurrent Detection of Topologically Trivial Zero-Energy States in Nanowire Junctions.
    Physical review letters, 2019
    Co-Authors: Oladunjoye A. Awoga, Jorge Cayao, Annica M. Black-schaffer
    Abstract:

    We report the emergence of Zero-energy states in the Trivial phase of a short nanowire junction with a strong spin-orbit coupling and magnetic field, formed by strong coupling between the nanowire and two superconductors. The Zero-energy states appear in the junction when the superconductors induce a large energy shift in the nanowire, such that the junction naturally forms a quantum dot, a process that is highly tunable by the superconductor width. Most importantly, we demonstrate that the Zero-energy states produce a $\ensuremath{\pi}$ shift in the phase-biased supercurrent, which can be used as a simple tool for their unambiguous detection, ruling out any Majorana-like interpretation.

Tudor D Stanescu - One of the best experts on this subject based on the ideXlab platform.

  • nonlocality of Zero bias anomalies in the topologically Trivial phase of majorana wires
    Physical Review B, 2014
    Co-Authors: Tudor D Stanescu, Sumanta Tewari
    Abstract:

    We show that the topologically Trivial Zero bias peak (ZBP) emerging in semiconductor Majorana wires due to soft confinement exhibits correlated splitting oscillations as a function of the applied Zeeman field, similar to the correlated splitting of the Majorana ZBP. Also, we find that the presence of a strong impurity can effectively cut the wire in two and destroy the correlated splitting in both the Trivial and the Majorana regimes. We identify a strong nonlocal effect that operates only in the topologically Trivial regime and demonstrate that the dependence of the ZBP on the confining gate potential at the opposite end in Majorana wires with two normal metal end-contacts represents a powerful tool for discriminating between topologically Trivial and nonTrivial ZBPs.