Enhanced electron–phonon coupling near an electronic quantum phase transition
@article{Gidopoulos2022EnhancedEC,
title={Enhanced electron–phonon coupling near an electronic quantum phase transition},
author={Nikitas I. Gidopoulos},
journal={Journal of Physics: Condensed Matter},
year={2022},
volume={34}
}I construct a simple model to demonstrate that when the many-electron quantum state of a material is near a quantum phase transition and the vibrational motion of a phonon explores the potential energy surface near the transition point, then an impenetrable barrier appears at the potential energy surface which restricts the phonon from crossing the transition point and abnormally increases the phonon frequency. The ensuing anomalous enhancement of the electron phonon coupling is general and…
References
SHOWING 1-10 OF 19 REFERENCES
Electron-phonon interactions from first principles
- Physics
- 2017
This article reviews the theory of electron-phonon interactions in solids from the point of view of ab-initio calculations. While the electron-phonon interaction has been studied for almost a…
Quantum phase transitions
- Physics
- 2001
Abstract We give a general introduction to quantum phase transitions in strongly correlated electron systems. These transitions, which occur at zero temperature when a non-thermal parameter g such as…
Electronic non-adiabatic states: towards a density functional theory beyond the Born–Oppenheimer approximation
- PhysicsPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2014
A novel treatment of non-adiabatic couplings is proposed, based on a theorem by Hunter stating that the wave function of the complete system of electrons and nuclei can be written as a Born–Oppenheimer (BO)-type product of a nuclear wave function and an electronic one, ΦR(r), which depends parametrically on the nuclear configuration R.
Diagonal Born-Oppenheimer Corrections within the Nuclear-Electronic Orbital Framework.
- PhysicsThe journal of physical chemistry letters
- 2019
The diagonal Born-Oppenheimer correction (DBOC) within the NEO framework is derived, analyzed, and calculated numerically for a set of eight molecules, implying that the DBOC does not significantly impact molecular properties computed with the NEO approach.
Electronic non-adiabatic states
- Physics
- 2005
A novel treatment of non-adiabatic couplings is proposed. The derivation starts from the long-known, but not well-known, fact that the wave function of the complete system of elctrons and nuclei can…
Dynamical Theory of Crystal Lattices
- Materials Science
- 1954
Although Born and Huang's classic work on the dynamics of crystal lattices was published over thirty years ago, the book remains the definitive treatment of the subject. It begins with a brief…
Quantum superposition of distinct macroscopic states
- PhysicsNature
- 2000
Experimental evidence is presented that a superconducting quantum interference device (SQUID) can be put into a superposition of two magnetic-flux states: one corresponding to a few microamperes of current flowing clockwise, the other corresponding to the same amount ofCurrent flowing anticlockwise.
Analytic calculation of the diagonal Born-Oppenheimer correction within configuration-interaction and coupled-cluster theory.
- ChemistryThe Journal of chemical physics
- 2006
The importance of electron-correlation contributions to the DBOC is illustrated in the computation of the corresponding corrections for the reaction energy and activation barrier of the F + H2 --> FH + H reaction as well as of the atomization energy for trans-butadiene.