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Design Example: Frog Muscle Response01:14

Design Example: Frog Muscle Response

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A student is tasked to work on an intriguing experiment involving an RL (Resistor-Inductor) circuit to study the muscle response of a frog's leg to electrical stimulation. The RL circuit plays a crucial role in this experiment, providing the means to control and measure the electrical impulses that trigger muscle contraction.
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Street lamps equipped with RLC surge protectors are an excellent example of applying circuit analysis in practical scenarios. These surge protectors safeguard the lamp's components against sudden voltage spikes.
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Series RLC Circuit with Source01:12

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Consider the operation of an automobile ignition system, a crucial component responsible for generating a spark by producing high voltage from the battery. This system can be described as a simple series RLC circuit, allowing for an in-depth analysis of its complete response.
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Roses in the nonperturbative current response of artificial crystals.

Christophe De Beule1,2, Võ Tiến Phong1, E J Mele1

  • 1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104.

Proceedings of the National Academy of Sciences of the United States of America
|October 19, 2023
PubMed
Summary
This summary is machine-generated.

Artificial crystals exhibit nonlinear current responses sensitive to electric field direction. This angular dependence reveals crucial information about electronic band structures and Berry curvature in novel materials.

Keywords:
Hall effectelectronic transportmoiré materialsnonlinear responsetopological materials

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Area of Science:

  • Condensed matter physics
  • Materials science
  • Solid-state physics

Background:

  • Two-dimensional artificial crystals with large real-space periodicity exhibit unique electronic properties.
  • Nonlinear current response to electric fields can encode information about band dispersion and Berry curvature.

Purpose of the Study:

  • To develop a theoretical framework for understanding the angular dependence of nonlinear current response in artificial crystals.
  • To derive analytic expressions for the current in a band-projected theory considering time-reversal and trigonal symmetry.

Main Methods:

  • Utilizing the relaxation-time approximation to obtain analytic expressions for the current.
  • Employing a band-projected theory with time-reversal and trigonal symmetry.
  • Expanding the current dependence on real-space translation vectors to describe rose curve patterns.

Main Results:

  • Analytic expressions for nonlinear current response up to infinite order in the driving electric field were derived.
  • The angular dependence of the current was shown to form symmetry-constrained rose curves.
  • The theory was illustrated with calculations on periodically buckled graphene and twisted double bilayer graphene.

Conclusions:

  • The nonlinear current response in artificial crystals provides a powerful tool to probe electronic band structures and Berry curvature.
  • The derived rose curve patterns offer a direct experimental signature of the underlying electronic properties.
  • The findings are accessible at experimentally relevant electric field strengths for specific material systems.