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A p-n junction is formed when p-type and n-type semiconductor materials are joined together. At the interface of the p-n junction, holes from the p-side and electrons from the n-side begin to diffuse into the opposite sides due to the concentration gradient. This diffusion of carriers leads to a region around the junction where there are no free charge carriers, known as the depletion region. The charge density within the depletion region for the n-side and p-side can be described by the...
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The Fermi-Dirac function is represented by an S-shaped curve indicating the probability of an energy state being occupied by an electron at a given temperature. The Fermi level is the energy level at which there is a fifty percent chance of finding an electron, and it is positioned between the lower-energy valence band and the higher-energy conduction band.
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Metal-oxide-semiconductor field-effect Transistors, or MOSFETs, play a critical role in electronic circuits. They are primarily utilized for amplifying and switching signals.
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Biasing metal-semiconductor junctions involves applying a voltage across the junction. Specifically, the metal is connected to a voltage source, while the semiconductor is grounded. This technique is essential for controlling the direction and magnitude of current flow in electronic devices, including diodes, transistors, and photovoltaic cells.
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The vacuum level denotes the energy threshold required for an electron to escape from a material surface. It is usually positioned above the conduction band of a semiconductor and acts as a benchmark for comparing electron energies within various materials.
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Intrinsic semiconductors are highly pure materials with no impurities. At absolute zero, these semiconductors behave as perfect insulators because all the valence electrons are bound, and the conduction band is empty, disallowing electrical conduction. The Fermi level is a concept used to describe the probability of occupancy of energy levels by electrons at thermal equilibrium. In intrinsic semiconductors, the Fermi level is positioned at the midpoint of the energy gap at absolute zero. When...
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Mott Quantum Critical Points at Finite Doping.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials Science

Background:

  • Strongly correlated materials exhibit complex phase diagrams.
  • Mott transitions, driven by electron-electron interactions, are crucial phenomena.
  • Understanding quantum critical points (QCPs) is key to novel material properties.

Purpose of the Study:

  • To demonstrate the emergence of a finite-doping QCP from a first-order Mott transition.
  • To investigate the evolution of the Mott transition under chemical potential tuning.
  • To explore the relevance of this scenario for iron-based superconductors.

Main Methods:

  • Theoretical analysis of the equation of state for a homogeneous system.
  • Investigating a folded surface in the equation of state.
  • Solving a minimal multiorbital Hubbard model.

Main Results:

  • A first-order Mott transition leads to a 'folded' equation of state with coexisting metallic and insulating phases.
  • Tuning chemical potential unfolds the equation of state.
  • The Mott transition evolves into a first-order transition between two metals, ending in a finite-doping QCP.

Conclusions:

  • Finite-doping QCPs are a natural consequence of first-order Mott transitions in many-body systems.
  • Hund's coupling plays a crucial role in this scenario.
  • The findings offer insights into iron-based and cuprate superconductors.