Interpreting Angle Dependent Magnetoresistance in Layered Materials: Application to Cuprates

Abstract

The evolution of the low temperature electronic structure of the cuprate metals from the overdoped to the underdoped side has recently been addressed through Angle-Dependant Magneto-Resistance (ADMR) experiments in La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$. The results show a striking difference between hole dopings $p=0.24$ and $p=0.21$ which lie on either side of a putative quantum critical point at intermediate $p$. Motivated by this, we here study the theory of ADMR in correlated layered materials, paying special attention to the role of angle dependent quasiparticle weights $Z_{\mathbf{k}}$. Such a $Z_{\mathbf{k}}$ is expected to characterize a number of popular models of the cuprate materials, particularly when underdoped. Further, in the limit of weak interlayer hopping the quasiparticle weight will affect the $c$-axis transport measured in ADMR experiments. We show that proper inclusion of the quasiparticle weight does not support an interpretation of the data in terms of a $(\pi ,\pi )$ spin density wave ordered state, in agreement with the lack of direct evidence for such order. We show that a simple model of Fermi surface reconfiguring across a van Hove point captures many of the striking differences seen between $p=0.21$ and $p=0.24$. We comment on why such a model may be appropriate for interpreting the ADMR data, despite having a large Fermi surface at $p=0.21$, seemingly in contradiction with other evidence for a small Fermi surafce at that doping level.

arXiv comment14 pages, 9 figures

References in corpus (25)

• scikit-image: Image processing in Python
• Destruction of the Fermi Surface in Underdoped High Tc Superconductors
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Electronic structure of quantum materials studied by angle-resolved photoemission spectroscopy
• Fractionalized Fermi liquids
• Topological approach to Luttinger's theorem and the Fermi surface of a Kondo lattice
• A Phenomenological Theory of The Pseudogap State
• The remarkable underlying ground states of cuprate superconductors
• Critical fermi surfaces and non-fermi liquid metals
• Anisotropic Scattering and Anomalous Transport in a High Temperature Superconductor
• Comparison of coherent and weakly incoherent transport models for the interlayer magnetoresistance of layered Fermi liquids
• Pseudogap temperature $T^{\star }$ of cuprate superconductors from the Nernst effect
• Quantum Oscillations in Hole-Doped Cuprates
• Linear-in temperature resistivity from an isotropic Planckian scattering rate
• Extending Luttinger's theorem to Z(2) fractionalized phases of matter
• Effective theory of Fermi pockets in fluctuating antiferromagnets
• Pseudogap phase of cuprate superconductors confined by Fermi surface topology
• A quantum dimer model for the pseudogap metal
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Electron scattering, charge order, and pseudogap physics in La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$: An angle resolved photoemission spectroscopy study
• Quasi-linear magnetoresistance in an almost 2D band structure
• The underdoped cuprates as fractionalized Fermi liquids: transition to superconductivity
• Sensitivity of the interlayer magnetoresistance of layered metals to intralayer anisotropies
• Transport properties of the metallic state of overdoped cuprate superconductors from an anisotropic marginal Fermi liquid model
• Dimensional decoupling at continuous quantum critical Mott transitions

Cited by in corpus (4)

• Quantum oscillations in the hole-doped cuprates and the confinement of spinons
• Observation of the Yamaji effect in a cuprate superconductor
• Yamaji effect in models of underdoped cuprates
• Odd relaxation in three-dimensional Fermi liquids