Effects of proximity to an electronic topological transition on normal-state transport properties of the high−Tc superconductors
G. G. N. Angilella, R. Pucci, A. A. Varlamov, F. Onufrieva
DOI 10.1103/PhysRevB.67.134525 · Physical Review B
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Abstract
Within the time-dependent Ginzburg-Landau theory, the effects of the superconducting fluctuations on the transport properties above the critical temperature are characterized by a nonzero imaginary part of the relaxation rate γ of the order parameter. Here, we evaluate Imγ for an anisotropic dispersion relation typical of the high−Tc cuprate superconductors (HTS’s), characterized by a proximity to an electronic topological transition (ETT). We find that Imγ abruptly changes sign at the ETT as a function of doping, in agreement with the universal behavior of the HTS’s. We also find that an increase of the in-plane anisotropy, as is given by a nonzero value of the next-nearest to nearest hopping ratio r=t′/t, increases the value of |Imγ| close to the ETT, as well as its singular behavior at low temperature, therefore enhancing the effect of superconducting fluctuations. Such a result is in qualitative agreement with the available data for the excess Hall conductivity for several cuprates and cuprate superlattices.
Source-reported materials — not catalogue approval
| Formula | Reported Tc (K) | Pressure (GPa) | Type |
|---|---|---|---|
| YBa2Cu3O7-δ Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 88.55 | Pressure not reported | unknown |
| Bi2Sr2Ca2Cu3O10 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 105 | Pressure not reported | unknown |
| (Bi,Pb)2Sr2Ca2Cu3O10 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula. | 109 | Pressure not reported | unknown |
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