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Related Concept Videos

Equivalent Capacitance01:19

Equivalent Capacitance

Multiple capacitors can be connected in a circuit in series or parallel configuration. When the capacitor combination is connected to a battery, the potential drop across each capacitor and the magnitude of charge stored in the individual capacitor depends on the type of the connection. The capacitor combination is replaced by a single equivalent capacitor that stores the same amount of charge as the combination for a given potential difference.
The following strategies are adopted to calculate...
Equivalent Capacitance01:19

Equivalent Capacitance

From the study of resistive circuits, it is understood that employing a series-parallel combination serves as an effective strategy for simplifying circuits. Capacitors can be arranged within a circuit in one of two ways: a series configuration or a parallel configuration. The way these capacitors are connected to a battery will influence both the potential drop across each individual capacitor and the size of the charge that each capacitor can store. This is determined by the specific type of...
MOS Capacitor01:25

MOS Capacitor

A Metal-Oxide-Semiconductor (MOS) capacitor is a fundamental structure used extensively in semiconductor device technology, particularly in the fabrication of integrated circuits and MOSFETs (metal-oxide-semiconductor field-effect transistors). The MOS capacitor consists of three layers: a metal gate, a dielectric oxide, and a semiconductor substrate.
The metal gate is typically made from highly conductive materials such as aluminum or polysilicon. Beneath the metal gate lies a thin layer of...
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...
Dielectric Polarization in a Capacitor01:31

Dielectric Polarization in a Capacitor

The presence of a dielectric medium in a capacitor not only changes the voltage and capacitance but also affects the electric field. In general, dielectrics can be of two types: polar and nonpolar. In a polar dielectric, the positive and negative charges in the molecules are separated by a distance and hence have a permanent dipole moment. In contrast, no such charge separation exists in a nonpolar dielectric, however the nonpolar molecules get polarized in the presence of an external electric...
Capacitors and Capacitance01:18

Capacitors and Capacitance

A device consisting of two electrical conductors that are separated by a distance and used to store electrical charges is called a capacitor. The space between the conductors is either a vacuum or an insulating material, called a dielectric. Capacitors have many applications, ranging from filtering static from radio reception to energy storage in heart defibrillators.
When the conductors are two identical parallel plates, it is called a parallel plate capacitor. When battery terminals are...

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Related Experiment Video

Updated: May 14, 2026

Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
11:42

Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities

Published on: July 24, 2015

Interaction phenomena in graphene seen through quantum capacitance.

G L Yu1, R Jalil, Branson Belle

  • 1School of Physics and Astronomy, University of Manchester, Manchester, M13 9PL, United Kingdom.

Proceedings of the National Academy of Sciences of the United States of America
|February 13, 2013
PubMed
Summary
This summary is machine-generated.

Capacitance measurements reveal electron-electron interactions in graphene. These interactions renormalize the electronic spectrum and create interaction-enhanced energy gaps in Landau levels, with reentrant behavior observed at ultrahigh magnetic fields.

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Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities
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Scanning-probe Single-electron Capacitance Spectroscopy
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Area of Science:

  • Condensed Matter Physics
  • Materials Science

Background:

  • Capacitance measurements are crucial for probing the density of states in 2D electron systems.
  • Graphene, a 2D material, exhibits unique electronic properties due to its linear spectrum.

Purpose of the Study:

  • To investigate the density of states in high-quality graphene capacitors under zero and high magnetic fields.
  • To understand the impact of electron-electron interactions on graphene's electronic behavior.

Main Methods:

  • Utilized large-area, high-quality graphene capacitors for capacitance measurements.
  • Applied varying magnetic fields, including zero and high quantizing fields.

Main Results:

  • Observed clear renormalization of the linear spectrum in zero magnetic field due to electron-electron interactions.
  • Discovered splitting of spin- and valley-degenerate Landau levels into quartets in high magnetic fields, with interaction-enhanced energy gaps.
  • Noted negative compressibility in many-body states, which re-entered positive compressibility in ultrahigh magnetic fields.

Conclusions:

  • Electron-electron interactions significantly modify the electronic spectrum of graphene.
  • The reentrant behavior of compressibility is linked to a competition between field-enhanced interactions and emerging fractional states.