Electronic specific-heat anomalies in high-T_c cuprates

Authors

S. Dzhumanov, National University of Uzbekistan
E. Karimboev, National University of UzbekistanFollow
B. Yavidov, Nukus State Pedagogical Institute

Abstract

In this work, we study the electronic specific heat $C_e(T)$ of underdoped to overdoped high-$T_c$ cuprates, and identify the nature of anomalies in $C_e(T)$ at the superconducting transition temperature $T_c$ and at temperatures above $T_c$. The doped cuprate superconductor is considered as a multi-carrier model system which is composed of different types of charge carriers. The normal-state electronic specific heat $C_n(T)$ of high-$T_c$ cuprates below a characteristic pseudogap (PG) temperature $T^*$ is calculated taking into account three contributions coming from the excited components of Cooper pairs, the ideal Bose-gas of incoherent Cooper pairs and the unpaired carriers in the impurity band. Above $T^*$, two contributions to $C_n(T)$ coming from the unpaired intrinsic and extrinsic polarons are calculated within the two-component degenerate Fermi-gas model. The total electronic specific heat $C_e(T)=C_n(T)+C_s(T)$ below $T_c$ is calculated by considering the contribution $C_n(T)$ and the contribution $C_s(T)$ coming from the superfluid bosonic carriers. We have shown that our theoretical predictions of the behaviors of $C_e(T)$ near $T_c$ and above $T_c$ are strikingly similar to the behaviors of the electronic specific heat observed below and above $T_c$ in LSCO and YBCO. There is fair quantitative agreement between theoretical predictions about the anomalies in $C_e(T)$ (i.e. a $\lambda$-like anomaly near $T_c$ and a BCS-type anomaly above $T_c$ near $T^*$) and experimental data.

First Page

43

Last Page

56

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Recommended Citation

Dzhumanov, S.; Karimboev, E.; and Yavidov, B. (2018) "Electronic specific-heat anomalies in high-T_c cuprates," Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 1: Iss. 2, Article 2.
DOI: https://doi.org/10.56017/2181-1318.1012