We use the semi-classical Boltzmann equation to investigate transport properties such as electrical resistivity, thermal resistivity, thermopower, and the Peltier coefficient of disordered metals close to an antiferromagnetic quantum phase transition. In the quantum Griffiths phase, the electrons are scattered by spin-fluctuations in the rare regions. This leads to singular temperature dependencies not just at the quantum critical point, but in the entire Griffiths phase. We show that the resulting non-universal power-laws in transport properties are controlled by the same Griffiths exponent λ which governs the thermodynamics. λ takes the value zero at the quantum critical point and increases throughout the Griffiths phase. We also study some of the "universal" ratios commonly used to characterize Fermi-liquid behavior.

Meeting Name

International Conference on Strongly Correlated Electron Systems (2011: Aug. 29-Sep. 3, Cambridge, United Kingdom)



Keywords and Phrases

Antiferromagnetics; Electrical resistivity; Fermi liquid behavior; Non-Fermi liquids; Peltier coefficients; Quantum critical points; Quantum phase transitions; Temperature dependencies; Boltzmann equation; Electric conductivity; Phase transitions; Quantum theory; Thermodynamics; Transport properties

International Standard Serial Number (ISSN)


Document Type

Article - Conference proceedings

Document Version

Final Version

File Type





© 2012 Institute of Physics - IOP Publishing, All rights reserved.

Publication Date

01 Sep 2012

Included in

Physics Commons