Lattice softening effects at the Mott critical point of Cr-doped V${}_2$O${}_3$

Abstract

We have performed sound velocity measurements in (V${}_{1-x}$Cr${}_x$)${}_2$O${}_3$ in the vicinity of the critical point of the first order Mott transition line. The pressure sweeps at constant temperature reveal a large dip in the $c_{33}$ compression modulus, this dip sharpens as the critical point is approached. We do not observe signs of criticality on the shear modulus $c_{44}$ which is consistent with a transition governed by a scalar order parameter, in accordance with the DMFT description of the transition. However, the amplitude of the effect is an order of magnitude smaller than the one obtained from DMFT calculations for a single band Hubbard model. We analyze our results using a simple model with the electronic response function obtained from the scaling relations for the conductivity.

References in corpus (8)

• Universality and Critical Behavior at the Mott transition
• Enhanced Crystal Field Splitting and Orbital Selective Coherence by Strong Correlations in V_2O_3
• Electronic Structure of Paramagnetic V_2O_3: Strongly Correlated Metallic and Mott Insulating Phase
• Mott Transition, Compressibility Divergence and P-T Phase Diagram of Layered Organic Superconductors: An Ultrasonic Investigation
• Anomalous Lattice Response at the Mott Transition in a Quasi-2D Organic Conductor
• Effect of Crystal-Field Splitting and Inter-Band Hybridization on the Metal-Insulator Transitions of Strongly Correlated Systems
• Scaling theory of the Mott transition and breakdown of the Grüneisen scaling near a finite-temperature critical end point
• Sound Velocity Anomaly at the Mott Transition: application to organic conductors and V2O3

Cited by in corpus (3)

• Metal-Insulator Transition and Lattice Instability of Paramagnetic V2O3
• Mott metal-insulator transition on compressible lattices
• Prediction of anomalies in the velocity of sound for the pseudogap of hole-doped cuprates