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Third Law of Thermodynamics

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Synthesis of Non-uniformly Pr-doped SrTiO3 Ceramics and Their Thermoelectric Properties

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Thermopower and Entropy: Lessons from Sr_{2}RuO_{4}.

Jernej Mravlje¹, Antoine Georges^2,3,4

¹Jožef Stefan Institute, Jamova 39, Ljubljana, Slovenia.

Physical Review Letters

|July 30, 2016

Summary

We calculated the Seebeck coefficient of strontium ruthenate (Sr_{2}RuO_{4}) to understand its transition from a Fermi liquid to an incoherent metal. This transition involves spin and orbital entropy release at different temperatures.

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Area of Science:

Condensed Matter Physics
Materials Science
Quantum Materials

Background:

Strontium ruthenate (Sr_{2}RuO_{4}) is a material exhibiting complex electronic behavior.
Understanding its transition from a Fermi liquid to an incoherent metal is crucial for materials science.

Purpose of the Study:

To calculate the in-plane Seebeck coefficient of Sr_{2}RuO_{4} using advanced theoretical methods.
To investigate the temperature dependence of the Seebeck coefficient as a probe of electronic phase transitions.
To elucidate the role of spin and orbital degrees of freedom in the observed phenomena.

Main Methods:

Combined electronic structure calculations and dynamical mean-field theory (DMFT).
Analysis of temperature dependence using entropic considerations and the Kelvin formula.
Direct calculation of magnetic susceptibilities.

Main Results:

The Seebeck coefficient's temperature dependence reveals a two-stage crossover from a Fermi liquid to an incoherent metal.
Spin degrees of freedom release entropy around room temperature.
Orbital degrees of freedom remain quenched at higher temperatures, characteristic of Hund's metals.
The c-axis thermopower is predicted to exceed the in-plane thermopower at high temperatures due to an interlayer hole-filtering mechanism.

Conclusions:

The Seebeck coefficient is a sensitive probe of the Fermi liquid to incoherent metal crossover in Sr_{2}RuO_{4}.
The material exhibits characteristics of Hund's metals with distinct entropy release from spin and orbital degrees of freedom.
A unique interlayer hole-filtering mechanism influences the c-axis thermopower.