Toward a topological scenario for high-temperature superconductivity of copper oxides

Abstract

The structure of the joint phase diagram demonstrating high-$T_c$ superconductivity of copper oxides is studied on the basis of the theory of interaction-induced flat bands. Prerequisites of an associated topological rearrangement of the Landau state are established, and related non-Fermi-liquid (NFL) behavior of the normal states of cuprates is investigated. We focus on manifestations of this behavior in the electrical resistivity $\rho (T)$, especially the observed gradual crossover from normal-state $T$-linear behavior $\rho (T,x)=A_1(x)T$ at doping $x$ below the critical value $x_c^h$ for termination of superconductivity, to $T$-quadratic behavior at $x>x_c^h$, which is incompatible with predictions of the conventional quantum-critical-point scenario. It is demonstrated that at $x<x_c^h$, in agreement with available experimental data, the coefficient $A_1(x)$ is decomposed into the product of two factors, one of which changes linearly with doping $x$, while the second is universal, being of the Planckian form.

8 pages, 5 figures

References in corpus (12)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Low-Energy Electronic Structure of the High-Tc Cuprates La2-xSrxCuO4 Studied by Angle-resolved Photoemission Spectroscopy
• Spin-independent origin of the strongly enhanced effective mass in a dilute 2D electron system
• Curie law, entropy excess, and superconductivity in heavy fermion metals and other strongly interacting Fermi liquids
• Dimensional crossover of quantum critical behavior in CeCoIn${}_5$
• Challenging Magnetic Field Dependence of the Residual Resistivity of the Heavy-Fermion Metal CeCoIn5
• Universal Behavior of Two-Dimensional 3He at Low Temperatures
• Merging of single-particle levels and non-Fermi-liquid behavior of finite Fermi systems
• Merging of Landau levels in a strongly-interacting two-dimensional electron system in silicon
• Occurrence of flat bands in strongly correlated Fermi systems and high-$T_c$ superconductivity of electron-doped compounds

Cited by in corpus (3)

• Flat band and Planckian metal
• Impact of $e-e$ interactions on the superfluid density of dirty superconductors
• Topological disorder triggered by interaction-induced flattening of electron spectra in solids