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Related Concept Videos

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In most substances, the current flow is proportional to the voltage applied to it. A simple relationship between the values of current, voltage, and resistance is known as Ohm's law. Nonohmic devices do not exhibit a linear relationship between voltage and current. One such device is the semiconducting circuit element known as a diode. A diode is a circuit device that allows current flow in only one direction.
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The structure of a crystalline solid, whether a metal or not, is best described by considering its simplest repeating unit, which is referred to as its unit cell. The unit cell consists of lattice points that represent the locations of atoms or ions. The entire structure then consists of this unit cell repeating in three dimensions. The three different types of unit cells present in the cubic lattice are illustrated in Figure 1.
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Dephasing in a Mach-Zehnder Interferometer by an Ohmic Contact.

Edvin G Idrisov1,2, Ivan P Levkivskyi3,4,5, Eugene V Sukhorukov1

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genève 4, Switzerland.

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|August 8, 2018
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Summary

Phase coherence in quantum Hall edge states is not fully suppressed by Ohmic contacts. Visibility saturates at low bias and temperature, but decays at high bias, revealing distinct electronic behaviors.

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Area of Science:

  • Condensed matter physics
  • Quantum electronics
  • Mesoscopic physics

Background:

  • Quantum Hall effect provides a unique platform for studying electron transport in 2D systems.
  • Mach-Zehnder interferometers are sensitive tools for probing quantum phenomena in electron systems.
  • Ohmic contacts can introduce dephasing, affecting quantum coherence in electronic devices.

Purpose of the Study:

  • To investigate the effect of an Ohmic contact on phase coherence in a quantum Hall edge state Mach-Zehnder interferometer.
  • To determine the conditions under which phase coherence is preserved or suppressed.
  • To explore the influence of voltage bias and temperature on the visibility of interference fringes.

Main Methods:

  • Fabrication of a Mach-Zehnder interferometer using quantum Hall edge states.
  • Integration of a micrometer-sized Ohmic contact into one arm of the interferometer.
  • Measurement of interference visibility as a function of voltage bias and temperature.
  • Analysis of electron transport in the quantum Hall regime at filling factor ν=1.

Main Results:

  • Phase coherence is not completely suppressed by the Ohmic contact at filling factor ν=1.
  • Visibility saturates at low voltage bias (Δμ) and temperature (T) relative to charging energy (E_{C}).
  • At high voltage bias (Δμ ≫ E_{C}), visibility decays as a power law, indicating significant dephasing.

Conclusions:

  • The study reveals that quantum coherence can persist even with the presence of an Ohmic contact under specific conditions.
  • The observed behavior suggests a transition from a free fermion picture to a more complex dephasing regime.
  • Understanding these dephasing mechanisms is crucial for developing robust quantum electronic devices.