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Transition-state theory, also known as activated-complex theory, provides a molecular-level explanation of reaction rates in both gas-phase and solution-phase reactions. It extends earlier kinetic models by considering the formation of a short-lived, high-energy configuration during a reaction.The progress of a chemical reaction can be represented using a reaction profile, which plots potential energy against the reaction coordinate. As two reactant molecules approach one another, their...
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Related Experiment Video

Updated: May 24, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

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Published on: August 2, 2019

Mott transition in the two-dimensional Hubbard model.

Masanori Kohno1

  • 1International Center for Materials Nanoarchitectonics (WPI-MANA), National Institute for Materials Science, Tsukuba, Japan.

Physical Review Letters
|March 10, 2012
PubMed
Summary

This study investigates spectral properties near the Mott transition using cluster perturbation theory. Findings explain anomalous features in cuprate superconductors as characteristics of this transition.

Area of Science:

  • Condensed Matter Physics
  • Quantum Materials

Background:

  • The Mott transition is a fundamental concept in condensed matter physics, describing a phase transition driven by electron-electron interactions.
  • Understanding the spectral properties near this transition is crucial for explaining phenomena in strongly correlated electron systems.

Purpose of the Study:

  • To investigate the spectral properties of the two-dimensional Hubbard model near the Mott transition.
  • To provide a unified explanation for anomalous spectral features observed in cuprate high-temperature superconductors.

Main Methods:

  • Utilizing cluster perturbation theory to analyze the two-dimensional Hubbard model.
  • Characterizing the Mott transition by the freezing of charge degrees of freedom.

Main Results:

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  • Identified a single-particle excitation that continuously bridges charge and magnetic excitations at the Mott transition.
  • Demonstrated that anomalous spectral features in cuprate superconductors are intrinsic properties near the Mott transition.

Conclusions:

  • The study offers a unified framework for understanding spectral anomalies in cuprates.
  • The findings highlight the importance of the Mott transition in explaining the behavior of high-temperature superconductors.