### Abstract

The electron-doped silicene under the influence of the biaxial tensile strain is predicted to be the phonon-mediated superconductor. By using the Eliashberg formalism, we investigate the thermodynamic properties of the superconducting silicene in the case when the tension is 5% and the electron doping equals 3.5×1014cm-2. Under such conditions, silicene monolayer is expected to exhibit the highest superconducting transition temperature (T_{C}). In particular, based on the electron-phonon spectral function and assuming a wide range of the Coulomb pseudopotential values (μ∗ ∈ 〈0.1,0.3〉) it is stated that the superconducting transition temperature decreases from 18.7 K to 11.6 K. Similar behavior is observed in the case of the zeroth temperature superconducting energy gap at the Fermi level: 2Δ(0)∈ 〈6.68,3.88〉 meV. Other thermodynamic parameters differ from the predictions of the Bardeen-Cooper-Schrieffer theory. In particular, the ratio of the energy gap to the critical temperature changes in the range from 4.14 to 3.87. The ratio of the specific heat jump to the specific heat in the normal state takes the values from 2.19 to 2.05, and the ratio of the critical temperature and specific heat in the normal state to the thermodynamic critical field increases from 0.143 to 0.155. It is also determined that the maximum value of the electron effective mass equals 2.11 of the electron band mass.

Original language | English |
---|---|

Pages (from-to) | 17-21 |

Number of pages | 5 |

Journal | Solid State Communications |

Volume | 200 |

DOIs | |

Publication status | Published - 2014 |

Externally published | Yes |

### Fingerprint

### Keywords

- A. Silicene
- A. Superconductivity
- A. Two-dimensional systems
- D. Thermodynamic properties

### ASJC Scopus subject areas

- Condensed Matter Physics
- Chemistry(all)
- Materials Chemistry

### Cite this

*Solid State Communications*,

*200*, 17-21. https://doi.org/10.1016/j.ssc.2014.09.007

**Study of the superconducting phase in silicene under biaxial tensile strain.** / Durajski, A. P.; Szcze¸s̈niak, D.; Szcze¸s̈niak, R.

Research output: Contribution to journal › Article

*Solid State Communications*, vol. 200, pp. 17-21. https://doi.org/10.1016/j.ssc.2014.09.007

}

TY - JOUR

T1 - Study of the superconducting phase in silicene under biaxial tensile strain

AU - Durajski, A. P.

AU - Szcze¸s̈niak, D.

AU - Szcze¸s̈niak, R.

PY - 2014

Y1 - 2014

N2 - The electron-doped silicene under the influence of the biaxial tensile strain is predicted to be the phonon-mediated superconductor. By using the Eliashberg formalism, we investigate the thermodynamic properties of the superconducting silicene in the case when the tension is 5% and the electron doping equals 3.5×1014cm-2. Under such conditions, silicene monolayer is expected to exhibit the highest superconducting transition temperature (TC). In particular, based on the electron-phonon spectral function and assuming a wide range of the Coulomb pseudopotential values (μ∗ ∈ 〈0.1,0.3〉) it is stated that the superconducting transition temperature decreases from 18.7 K to 11.6 K. Similar behavior is observed in the case of the zeroth temperature superconducting energy gap at the Fermi level: 2Δ(0)∈ 〈6.68,3.88〉 meV. Other thermodynamic parameters differ from the predictions of the Bardeen-Cooper-Schrieffer theory. In particular, the ratio of the energy gap to the critical temperature changes in the range from 4.14 to 3.87. The ratio of the specific heat jump to the specific heat in the normal state takes the values from 2.19 to 2.05, and the ratio of the critical temperature and specific heat in the normal state to the thermodynamic critical field increases from 0.143 to 0.155. It is also determined that the maximum value of the electron effective mass equals 2.11 of the electron band mass.

AB - The electron-doped silicene under the influence of the biaxial tensile strain is predicted to be the phonon-mediated superconductor. By using the Eliashberg formalism, we investigate the thermodynamic properties of the superconducting silicene in the case when the tension is 5% and the electron doping equals 3.5×1014cm-2. Under such conditions, silicene monolayer is expected to exhibit the highest superconducting transition temperature (TC). In particular, based on the electron-phonon spectral function and assuming a wide range of the Coulomb pseudopotential values (μ∗ ∈ 〈0.1,0.3〉) it is stated that the superconducting transition temperature decreases from 18.7 K to 11.6 K. Similar behavior is observed in the case of the zeroth temperature superconducting energy gap at the Fermi level: 2Δ(0)∈ 〈6.68,3.88〉 meV. Other thermodynamic parameters differ from the predictions of the Bardeen-Cooper-Schrieffer theory. In particular, the ratio of the energy gap to the critical temperature changes in the range from 4.14 to 3.87. The ratio of the specific heat jump to the specific heat in the normal state takes the values from 2.19 to 2.05, and the ratio of the critical temperature and specific heat in the normal state to the thermodynamic critical field increases from 0.143 to 0.155. It is also determined that the maximum value of the electron effective mass equals 2.11 of the electron band mass.

KW - A. Silicene

KW - A. Superconductivity

KW - A. Two-dimensional systems

KW - D. Thermodynamic properties

UR - http://www.scopus.com/inward/record.url?scp=84908432516&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908432516&partnerID=8YFLogxK

U2 - 10.1016/j.ssc.2014.09.007

DO - 10.1016/j.ssc.2014.09.007

M3 - Article

AN - SCOPUS:84908432516

VL - 200

SP - 17

EP - 21

JO - Solid State Communications

JF - Solid State Communications

SN - 0038-1098

ER -