Theory of quantum magneto-oscillations in underdoped cuprate superconductors
A. S. Alexandrov
TL;DR
This paper explains magneto-oscillations in underdoped cuprates as arising from quantum interference between vortex lattices and checkerboard electron density modulations, leading to a distinct 1/√B periodicity in response functions.
Contribution
It introduces a novel explanation for magneto-oscillations in underdoped cuprates based on vortex lattice and checkerboard interference, differing from conventional Fermi-liquid theories.
Findings
The model reproduces observed oscillation frequencies in YBa2Cu4O8 and YBa2Cu3O6.5.
It predicts a 1/√B periodicity in response functions.
The approach aligns with STM and magnetic measurements in cuprates.
Abstract
Magneto-oscillations in kinetic and magnetic response functions of a few underdoped cuprates are perhaps one of the most striking observations since many probes of underdoped cuprates clearly point to a non Fermi-liquid normal state. Their observation in the vortex state well below the upper critical field raises a doubt concerning their normal state origin. Here I propose an explanation of the magneto-oscillations as emerging from the quantum interference of the vortex lattice and checkerboard modulations of the electron density of states revealed by STM with atomic resolution in some cuprate superconductors. The checkerboard effectively pins the vortex lattice, when the period of the latter is commensurate with the period of the checkerboard. This condition yields 1/\sqrt{B} periodicity of the response functions versus magnetic field B, rather than 1/B periodicity of conventional…
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