Theory of quantum magneto-oscillations in underdoped cuprate superconductors

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 normal state oscillations. Our solution of the Gross-Pitaevskii-type equation for composed charged bosons accounting for the d-wave symmetry of the order-parameter and its checkerboard modulations describes well changes in resonant frequency of the tunnel-diode oscillator circuit with YBa2Cu4O8 and the oscillatory part of the Hall resistance and magnetic susceptibility in the mixed state of YBa2Cu3O6.5.

arXiv comment4 pages, 3 figures, experimental conditions allowing for a resolution of conventional normal-state and unconventional vortex-state magneto-oscillations are outlined

References in corpus (10)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Direct evidence for an intrinsic square vortex lattice in the overdoped high-Tc superconductor La1.83Sr0.17CuO4+d
• Froehlich-Coulomb model of high-temperature superconductivity and charge segregation in the cuprates
• Observation of a Triangular to Square Flux Lattice Phase Transition in YBCO
• Nonadiabatiic superconductivity in MgB2 and cuprates
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Cited by in corpus (10)

• de Haas-van Alphen oscillations in the underdoped cuprate YBa${}_2$Cu${}_3$O${}_{6.5}$
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Fermi liquid behaviour in an underdoped high Tc superconductor
• High Temperature Superconductivity: the explanation
• Key pairing interaction in layered doped ionic insulators
• Quantum oscillations and Dirac-Landau levels in Weyl superconductors
• Quantum magnetic oscillations and angle-resolved photoemission from impurity bands in cuprate superconductors
• Controlling the self-doping of YBa2C3O7-d polar surfaces: From Fermi surface to nodal Fermi arcs by ARPES
• Zero-temperature phase transitions in dilute bosonic superfluids on a lattice