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- Title
Simple Explanation of Cuprates Linear Magnetoresistance Enigma.
- Authors
Lakhno, Victor D.
- 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 k B / μ B in fermion systems and k B / 2 μ B in boson systems, where k B is the Boltzmann constant and μ B is the Bohr magneton. A relation between the existence of translationally invariant polarons and the "Planck" time of their relaxation is discussed.
- Subjects
MAGNETORESISTANCE; HIGH temperature superconductors; MAGNETIC fields; BOLTZMANN'S constant; CUPRATES; FERMIONS; POLARONS
- Publication
Condensed Matter, 2022, Vol 7, Issue 4, p64
- ISSN
2410-3896
- Publication type
Article
- DOI
10.3390/condmat7040064