A facile approach to calculating superconducting transition temperatures in the bismuth solid phases

All solid phases of bismuth under pressure, but one, have been experimentally found to superconduct. From Bi-I to Bi-V, avoiding Bi-IV, they become superconductors and perhaps Bi-IV may also become superconductive. To investigate the influence of the electronic properties N(E) and the vibrational properties F(ω) on their superconductivity we have ab initio calculated them for the corresponding experimental crystalline structures, and using a BCS approach have been able to determine their critical temperatures T_c obtaining results close to experiment: For Bi-I (The Wyckoff Phase) we predicted a transition temperature of less than 1.3 mK and a year later a T_c of 0.5 mK was measured; for Bi-II T_c is 3.9 K measured and 3.6 K calculated; Bi-III has a measured T_c of 7 K and 6.5 K calculated for the structure reported by Chen et al., and for Bi-V T_c ~ 8 K measured and 6.8 K calculated. Bi-IV has not been found to be a superconductor, but we have recently predicted a T_c of 4.25 K.