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arXiv · 2003.11866

Griffiths-like phase close to the Mott transition

Isys F. Mello·Lucas Squillante·Gabriel O. Gomes·Antonio C. Seridonio·M. de Souza
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Abstract

We explore the coexistence region in the vicinity of the Mott critical end point employing a compressible cell spin-$1/2$ Ising-like model. We analyze the case for the spin-liquid candidate $\kappa$-(BEDT-TTF)$_2$Cu$_2$(CN)$_3$, where close to the Mott critical end point metallic puddles coexist with an insulating ferroelectric phase. Our results are fourfold: $i$) a universal divergent-like behavior of the Gr\"uneisen parameter upon crossing the first-order transition line; $ii$) based on scaling arguments, we show that within the coexistence region, for $any$ system close to the critical point, the relaxation time is entropy-dependent; $iii$) we propose the electric Gr\"uneisen parameter $\Gamma_E$, which quantifies the electrocaloric effect; $iv$) we identify the metallic/insulating coexistence region as an electronic Griffiths-like phase. Our findings suggest that $\Gamma_E$ governs the dielectric response close to the critical point and that an electronic Griffiths-like phase emerges in the coexistence region.

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Isys F. Mello, Lucas Squillante, Gabriel O. Gomes, Antonio C. Seridonio, M. de Souza. 2020-03-26. Griffiths-like phase close to the Mott transition. https://doi.org/10.1063/5.0018604

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