Simple Explanation of Cuprates Linear Magnetoresistance Enigma

Abstract

A simple explanation is given for the linear dependence of electrical resistance on temperature and the linear dependence of the magnetoresistance on the magnetic field in high-temperature superconducting cuprates, which has been mysterious for many years. It is shown that this dependence stems from the treatment of a gas of translationally invariant polarons as a system with heavy fermions for wave vectors close to nesting. The destruction of such polarons at finite temperature and an external magnetic field leads to a linear dependence of the magnetoresistance on the magnetic field and temperature. It is shown that the relationship between the slopes of the magnetoresistance curves at zero magnetic field and at zero temperature is determined by the universal ratio kB/μB in fermion systems and kB/2μB in boson systems, where kB is the Boltzmann constant and μB is the Bohr magneton. A relation between the existence of translationally invariant polarons and the “Planck” time of their relaxation is discussed.

Keywords

• heavy fermions
• bipolarons
• nesting
• strange metal
• Kohler rule