Superconductivity in an Exactly Solvable Model of the Pseudogap State: Absence of Self Averaging
E. Z. Kuchinskii, M. V. Sadovskii
Abstract
We analyze the anomalies of superconducting state within a simple exactly solvable model of the pseudogap state, induced by fluctuations of ``dielectric'' short range order, for the model of the Fermi surface with ``hot'' patches. The analysis is performed for the arbitrary values of the correlation length xicorr of this short range order. It is shown that superconducting energy gap averaged over these fluctuations is non zero in a wide temperature range above Tc - the temperature of homogeneous superconducting transition. This follows from the absence of self averaging of the gap over the random field of fluctuations. For temperatures T>Tc superconductivity apparently appears in separate regions of space (``drops''). These effects become weaker for shorter correlation lengths xicorr and the region of ``drops'' on the phase diagram becomes narrower and disappears for xicorr-->0, however, for the finite values of xicorr the complete self averaging is absent.
Create a lesson
Related papers
Variational Monte Carlo Study of Superconductivity in a Correlated System with Broken Inversion Symmetry
Tsuyoshi Imazu, Katsunori Kubo
Predictions of superconducting properties from chemical bonding interactions
Francesco Belli, Trinidad Novoa, Ion Errea et al.
Exact Mirror-Parity Selection Rule for Electron-Phonon Coupling in Two-Dimensional Crystals
Nicolás F. Barrera, Javiera Cabezas-Escares, Francisco Munoz et al.
Ta-based S-I-S junctions for integrated superconducting electronics
Trent Borman, Cameron Bullock, Cole Chason et al.
Nonreciprocal charge transport in quantum materials: From superconductors to magnetic systems
Boning Yu, Yalei Huang, Alltrin Dhanarajagopal et al.
Intra-unit-cell Josephson scanning tunneling spectroscopy of the cuprate Bi1.2Pb0.8Sr2CaCu2O8+δ
Fengyu Yao, Jiong Mei, Wenjin Mao et al.