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Computation of Atmospheric Concentrations of Molecular Clusters from ab initio Thermochemistry

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Published on: April 8, 2020

A new renormalization group approach for systems with strong electron correlation.

K Edwards¹, A C Hewson

¹Department of Mathematics, Imperial College, London SW7 2AZ, UK.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|March 17, 2011

Summary

Researchers show how to study electron correlation effects in metals by suppressing spin fluctuations with a magnetic field. This method allows calculation of the Kondo temperature (T(K)) using renormalized perturbation theory, offering a new approach to understanding heavy fermion materials.

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Published on: June 7, 2018

Area of Science:

Condensed matter physics
Quantum mechanics
Materials science

Background:

Anomalous low-energy behavior in strongly correlated metals, like heavy fermion materials, is linked to electron scattering by spin fluctuations.
This scattering causes the Kondo effect, establishing a low-energy scale known as the Kondo temperature (T(K)).
Accessing these low energy scales typically requires non-perturbative methods due to strong local electron interactions.

Purpose of the Study:

To present a novel method for calculating low-energy properties in strongly correlated systems.
To circumvent the need for non-perturbative approaches by utilizing magnetic fields.
To demonstrate the viability of this approach for the single impurity Anderson model.

Main Methods:

Suppressing spin fluctuations by applying a large magnetic field.
Calculating field-dependent renormalized parameters using standard perturbation theory.
Employing renormalized perturbation theory iteratively to progressively reduce the magnetic field strength down to zero.

Main Results:

Demonstrated a method to calculate renormalized parameters as a function of magnetic field.
Successfully applied the approach to the single impurity Anderson model.
Obtained results for renormalized parameters that can be validated against established methods like numerical renormalization group and Bethe ansatz.

Conclusions:

The proposed method offers a viable alternative to non-perturbative calculations for studying low-energy phenomena in strongly correlated systems.
Magnetic field-induced suppression of spin fluctuations provides a pathway to analyze the Kondo effect and related phenomena.
This work opens new avenues for theoretical investigations of heavy fermion materials and other correlated electron systems.