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Setting Limits on Supersymmetry Using Simplified Models

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Published on: November 15, 2013

Sum-rule conserving spectral functions from the numerical renormalization group.

Andreas Weichselbaum¹, Jan von Delft

¹Physics Department, Arnold Sommerfeld Center for Theoretical Physics, and Center for NanoScience, Ludwig-Maximilians-Universität München, D-80333 München, Germany.

Physical Review Letters

|October 13, 2007

Summary

This summary is machine-generated.

We accurately calculate spectral functions for quantum impurity models using a new numerical renormalization group method. This approach avoids common approximations, ensuring rigorous sum rules and precise spectral feature descriptions.

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Area of Science:

Condensed Matter Physics
Quantum Many-Body Theory

Background:

Accurate calculation of spectral functions is crucial for understanding quantum impurity models.
Existing methods often suffer from overcounting ambiguities and approximations in the equilibrium density matrix.

Purpose of the Study:

To introduce a highly accurate method for calculating spectral functions in quantum impurity models.
To overcome limitations of current numerical renormalization group approaches.

Main Methods:

Utilizing a complete set of discarded numerical renormalization group eigenstates.
Employing judicious exploitation of energy scale separation as the primary approximation.

Main Results:

Demonstrated highly accurate computation of spectral functions.
Successfully avoided overcounting ambiguities and single-shell approximation issues.
Ensured rigorous adherence to relevant sum rules.

Conclusions:

The new method provides a rigorous and accurate way to compute spectral functions.
This advancement enables precise description of spectral features, especially at low energies.
The approach offers significant improvements over prevalent numerical renormalization group techniques.