Scaling theory of the Mott transition and breakdown of the Grüneisen scaling near a finite-temperature critical end point

Abstract

We discuss a scaling theory of the lattice response in the vicinity of a finite-temperature critical end point. The thermal expansivity is shown to be more singular than the specific heat such that the Grüneisen ratio diverges as the critical point is approached, except for its immediate vicinity. More generally, we express the thermal expansivity in terms of a scaling function which we explicitly evaluate for the two-dimensional Ising universality class. Recent thermal expansivity measurements on the layered organic conductor kappa-(BEDT-TTF)_2 X close to the Mott transition are well described by our theory.

4 REVTeX pages, 4 figures; minor changes, as published

References in corpus (5)

• Unconventional critical behaviour in a quasi-two-dimensional organic conductor
• Universality Classes of Metal-Insulator Transitions in Strongly Correlated Electron Systems and Mechanism of High-Temperature Superconductivity
• Anomalous Lattice Response at the Mott Transition in a Quasi-2D Organic Conductor
• Universality of liquid-gas Mott transitions at finite temperatures
• Variational approach to the scaling function of the 2D Ising model in a magnetic field

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