scholarly journals Thermodynamic Properties of the Superconducting State in Metallic Hydrogen: Electronic Correlations, Non-conventional Electron-Phonon Couplings and the Anharmonic Effects

Author(s):  
M. Kostrzewa ◽  
A. P. Durajski ◽  
J. K. Kalaga ◽  
R. Szczȩśniak

AbstractThermodynamical properties of the superconducting state in metallic hydrogen were determined on the basis of the model of two compressed hydrogen planes. We took into account both the on-site and the inter-site electronic correlations (U and K), as well as the relevant non-conventional electron-phonon coupling functions (gU and gK). We proved, within the Eliashberg formalism, that the maximum value of the critical temperature of transition into the superconducting state is about 200 K for the harmonic approximation, and about 84 K for the Morse anharmonic approximation. Omission of the electronic correlations results in a considerable overstatement of the TC value. On the other hand, the TC value is remarkably understated if the non-conventional interactions are disregarded. Other thermodynamic quantities, such as the order parameter, the jump in the specific heat value, the thermodynamic critical field, and the upper critical field, take the values for which the non-dimensional ratios RΔ, RC, RH and RH2 do not differ substantially from the predictions of the BCS theory.

2019 ◽  
Vol 33 (07) ◽  
pp. 1950079
Author(s):  
Kamila A. Szewczyk ◽  
Adam Z. Kaczmarek ◽  
Ewa A. Drzazga

In this work, we present the thermodynamic properties of the superconducting state in phosphorene. In particular, we have examined the electron doped [Formula: see text] and biaxially strained (4%) monolayer of black phosphorous, which exhibits best thermodynamic stability and highest superconducting critical temperature [Formula: see text] among all monolayer phosphorene structures. Due to the confirmed electron–phonon pairing mechanism and relatively high electron–phonon coupling constant in the studied material, we carried out the calculations in the framework of the Eliashberg formalism for a wide range of the Coulomb pseudopotential [Formula: see text]. We have determined the thermodynamic critical field [Formula: see text], and the specific heat difference [Formula: see text] between superconducting [Formula: see text] and normal state [Formula: see text] as the functions of the temperature. In addition, we have calculated the dimensionless parameters [Formula: see text]/[Formula: see text] and [Formula: see text]/[Formula: see text], and also found their significant deviation from the expectations of the BCS theory. In particular, [Formula: see text] and [Formula: see text] for [Formula: see text].


2020 ◽  
Vol 102 (17) ◽  
Author(s):  
Yoshiki J. Sato ◽  
Fuminori Honda ◽  
Yusei Shimizu ◽  
Ai Nakamura ◽  
Yoshiya Homma ◽  
...  

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Chang-woo Cho ◽  
Jian Lyu ◽  
Cheuk Yin Ng ◽  
James Jun He ◽  
Kwan To Lo ◽  
...  

AbstractWe present measurements of the magnetic torque, specific heat and thermal expansion of the bulk transition metal dichalcogenide (TMD) superconductor NbS2 in high magnetic fields, with its layer structure aligned strictly parallel to the field using a piezo rotary positioner. The upper critical field of superconducting TMDs in the 2D form is known to be dramatically enhanced by a special form of Ising spin orbit coupling. This Ising superconductivity is very robust to the Pauli paramagnetic effect and can therefore exist beyond the Pauli limit for superconductivity. We find that superconductivity beyond the Pauli limit still exists in bulk single crystals of NbS2 for a precisely parallel field alignment. However, the comparison of our upper critical field transition line with numerical simulations rather points to the development of a Fulde-Ferrell-Larkin-Ovchinnikov state above the Pauli limit as a cause. This is also consistent with the observation of a magnetic field driven phase transition in the thermodynamic quantities within the superconducting state near the Pauli limit.


2020 ◽  
Author(s):  
Chang-woo Cho ◽  
Jian Lyu ◽  
Cheuk Ng ◽  
James Jun He ◽  
Tarob Abdel-Baset ◽  
...  

Abstract We present magnetic torque, specific heat and thermal expansion measurements combined with a piezo rotary positioner of the bulk transition metal dichalcogenide (TMD) superconductor NbS2 in high magnetic fields applied strictly parallel to its layer structure. The upper critical field of superconducting TMDs in the 2D form is known to be dramatically enhanced by a special form of Ising spin orbit coupling. This Ising superconductivity is very robust against the Pauli limit for superconductivity. We find that superconductivity beyond the Pauli limit still exists in bulk single crystals of NbS2. However, the comparison of our upper critical field transition line with numerical simulations rather points to the development of a Fulde-Ferrell-Larkin-Ovchinnikov state above the Pauli limit as a cause. This is also consistent with the observation of a magnetic field driven phase transition in the thermodynamic quantities within the superconducting state near the Pauli limit.


Physica B+C ◽  
1986 ◽  
Vol 143 (1-3) ◽  
pp. 366-368 ◽  
Author(s):  
Keizo Murata ◽  
Naoki Toyota ◽  
Madoka Tokumoto ◽  
Hiroyuki Anzai ◽  
Gunzi Saito ◽  
...  

2014 ◽  
Vol 28 (02) ◽  
pp. 1450010
Author(s):  
MARCIN W. JAROSIK ◽  
ARTUR P. DURAJSKI

In this paper, the thermodynamic properties of the superconducting state in the metallic hydrogen under the pressure at 347 GPa have been determined. In the framework of the Eliashberg formalism, it has been shown that the characteristic thermodynamic parameters deviate from the predictions of the BCS theory. In particular, the ratio ΔC(TC)/CN(TC) decreases from 1.96 to 1.72 depending on the assumed value of the Coulomb pseudopotential (μ* ∈ 〈0.08, 0.15〉). On the other hand, the ratio [Formula: see text] increases from 0.150 to 0.158.


2020 ◽  
Author(s):  
Sabyasachi Paul ◽  
S. K. Ramjan ◽  
L. S. Sharath Chandra ◽  
Archna Sagdeo ◽  
M. K. Chattopadhyay

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