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Mottness collapse and T-linear resistivity in cuprate superconductors.

Philip Phillips¹

¹Department of Physics, University of Illinois, 1110 West Green Street, Urbana, IL 61801, USA. dimer@illinois.edu

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences

|March 23, 2011

Summary

The study explains the strange metal phase in cuprate superconductors. A new theory shows how extra degrees of freedom, from dynamical spectral weight transfer, cause Mottness collapse and T-linear resistivity.

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Area of Science:

Condensed matter physics
Materials science

Background:

Cuprate superconductors exhibit a pseudogap phase that collapses at a critical point, leading to a strange metal phase.
The strange metal phase is characterized by resistivity linearly dependent on temperature (T-linear resistivity).
Existing theories face challenges in explaining T-linear resistivity, often requiring additional length scales or non-fermionic degrees of freedom.

Purpose of the Study:

To investigate the underlying physics of the strange metal phase in cuprate superconductors.
To reconcile the requirements of quantum criticality theories with the observed properties of strange metals.
To explore the role of dynamical spectral weight transfer in the Hubbard model.

Main Methods:

Development of a low-energy theory for the Hubbard model.
Incorporation of dynamical spectral weight transfer into the theoretical framework.
Analysis of the behavior of extra degrees of freedom under varying doping and temperature.

Main Results:

The low-energy theory successfully incorporates the necessary extra degrees of freedom.
Dynamical spectral weight transfer leads to degrees of freedom that either decouple at critical doping (Mottness collapse) or unbind at critical temperature.
These phenomena explain the emergence of the strange metal behavior and T-linear resistivity.

Conclusions:

The proposed theory provides a unified explanation for Mottness collapse and strange metal behavior.
Dynamical spectral weight transfer is identified as a key mechanism driving these emergent phenomena.
The findings offer a new perspective on the complex physics of high-temperature superconductors.