Abstract <p>The discovery of superconductivity in compressed H<sub>3</sub>S sparked experimental and theoretical studies of compressed hydrides, in which room-temperature superconductivity is expected to exist. The search is conducted for three classes of hydrides. The first class is covalently bonded hydrides (which is represented by H<sub>3</sub>S, H<sub>3</sub>P, and recently discovered BiH<sub>2</sub> [42]. The second class is clathrate-type hydrides, among which superhydrides LaH<sub>10</sub>, YH<sub>6</sub>, CaH<sub>6</sub>, and a number of others have been discovered. The third class is molecular hydrides, represented by BaH<sub>12</sub> and BiH<sub>4</sub>. One of the most prominent achievements of the study by Guo et&#xa0;al. [42] on BiH<sub>2</sub> is that the self-field critical current density <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({{J}_{{\text{c}}}}\left( {sf,T} \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m1--> </InlineEquation> was measured over a wide temperature range. Thorough analysis of measured <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({{J}_{{\text{c}}}}\left( {sf,T} \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m2--> </InlineEquation> showed that the BiH<sub>2</sub> exhibits two-band <i>s</i>-wave superconductivity (the amplitudes of the ground state superconducting gaps for both bands <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\({{\Delta }_{{\text{L}}}}\left( 0 \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m3--> </InlineEquation> and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\({{\Delta }_{{\text{S}}}}\left( 0 \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m4--> </InlineEquation> were obtained, as well as the London penetration depth <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\lambda \left( 0 \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m5--> </InlineEquation>). In this paper, I have analyzed <InlineEquation ID="IEq6"> <EquationSource Format="TEX">\({{J}_{{\text{c}}}}\left( {sf,T} \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m6--> </InlineEquation> experimental data measured in [42] (apart the <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\({{J}_{{\text{c}}}}\left( {sf,T} \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m7--> </InlineEquation>) in covalently bounded hydride BiH<sub>2</sub>. As a result, the Debye <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\({{\Theta }_{{\text{D}}}}\)</EquationSource> <!--PhysMet2560093Talantsev-m8--> </InlineEquation> and Fermi <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\({{T}_{{\text{F}}}}\)</EquationSource> <!--PhysMet2560093Talantsev-m9--> </InlineEquation> temperatures, as well as the electron–phonon coupling constant <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\({{\lambda }_{{{\text{e}} - {\text{ph}}}}}\)</EquationSource> <!--PhysMet2560093Talantsev-m10--> </InlineEquation>, were determined. The latter differs significantly from that obtained using first-principles calculations [42]. The difference can be explained by the presence of the dispersed BiH<sub>4</sub> phase in the BiH<sub>2</sub> matrix, while first-principles calculations were performed assuming an ideal/defect-free single-phase BiH<sub>2</sub> lattice. The analysis of the upper critical field, <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\({{B}_{{{\text{c2}}}}}\left( T \right)\)</EquationSource> <!--PhysMet2560093Talantsev-m11--> </InlineEquation>, confirmed two-band superconductivity of the BiH<sub>2</sub> samples. The revealed level of nonadiabaticity <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\({{{{\Theta }_{{\text{D}}}}} \mathord{\left/ {\vphantom {{{{\Theta }_{{\text{D}}}}} {{{T}_{{\text{F}}}}}}} \right. \kern-0em} {{{T}_{{\text{F}}}}}} = 0.057\)</EquationSource> <!--PhysMet2560093Talantsev-m12--> </InlineEquation> in BiH<sub>2</sub> is typical of cuprates, iron-based superconductors, MgB<sub>2</sub>, and other superhydrides.</p>

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Superconducting Parameters of Covalently Bounded Superhydride BiH2

  • E. F. Talantsev

摘要

Abstract

The discovery of superconductivity in compressed H3S sparked experimental and theoretical studies of compressed hydrides, in which room-temperature superconductivity is expected to exist. The search is conducted for three classes of hydrides. The first class is covalently bonded hydrides (which is represented by H3S, H3P, and recently discovered BiH2 [42]. The second class is clathrate-type hydrides, among which superhydrides LaH10, YH6, CaH6, and a number of others have been discovered. The third class is molecular hydrides, represented by BaH12 and BiH4. One of the most prominent achievements of the study by Guo et al. [42] on BiH2 is that the self-field critical current density \({{J}_{{\text{c}}}}\left( {sf,T} \right)\) was measured over a wide temperature range. Thorough analysis of measured \({{J}_{{\text{c}}}}\left( {sf,T} \right)\) showed that the BiH2 exhibits two-band s-wave superconductivity (the amplitudes of the ground state superconducting gaps for both bands \({{\Delta }_{{\text{L}}}}\left( 0 \right)\) and \({{\Delta }_{{\text{S}}}}\left( 0 \right)\) were obtained, as well as the London penetration depth \(\lambda \left( 0 \right)\) ). In this paper, I have analyzed \({{J}_{{\text{c}}}}\left( {sf,T} \right)\) experimental data measured in [42] (apart the \({{J}_{{\text{c}}}}\left( {sf,T} \right)\) ) in covalently bounded hydride BiH2. As a result, the Debye \({{\Theta }_{{\text{D}}}}\) and Fermi \({{T}_{{\text{F}}}}\) temperatures, as well as the electron–phonon coupling constant \({{\lambda }_{{{\text{e}} - {\text{ph}}}}}\) , were determined. The latter differs significantly from that obtained using first-principles calculations [42]. The difference can be explained by the presence of the dispersed BiH4 phase in the BiH2 matrix, while first-principles calculations were performed assuming an ideal/defect-free single-phase BiH2 lattice. The analysis of the upper critical field, \({{B}_{{{\text{c2}}}}}\left( T \right)\) , confirmed two-band superconductivity of the BiH2 samples. The revealed level of nonadiabaticity \({{{{\Theta }_{{\text{D}}}}} \mathord{\left/ {\vphantom {{{{\Theta }_{{\text{D}}}}} {{{T}_{{\text{F}}}}}}} \right. \kern-0em} {{{T}_{{\text{F}}}}}} = 0.057\) in BiH2 is typical of cuprates, iron-based superconductors, MgB2, and other superhydrides.