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.

14 pages, 9 figures

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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