Analytical treatment of in-plane magnetotransport in the Falicov-Sievert model

We develop a model for the angle-dependent magnetoresistance of HgBa2CuO 4+δ in the underdoped regime where the Fermi surface is thought to be reconstructed by an ordered state such as a charge density wave. We show that such measurements can be employed to unambiguously distinguish the form of the Fermi surface's interlayer warping, placing severe contraints on the symmetry and nature of the reconstructing order. We describe experimentally accessible conditions in which our calculations can be put to the test. arXiv:1802.03514v1 [cond-mat.supr-con]

Section: B Fermi Surface Across the Brillouin Zone Boundarymentioning

confidence: 99%

Angle-dependent magnetoresistance as a probe of Fermi surface warping in HgBa2CuO4+δ

Lewin

Analytis

2018

“…In addition to calculating σ zz , we can use the same methods as detailed above to calculate the in-plane components of the conductivity tensor 53 . Neglecting the weak interlayer warping of our system, we find v x (ϕ) = m * k F (ϕ) cos(ϕ − γ) and v y (ϕ) = m * k F (ϕ) sin(ϕ − γ).…”

Section: Appendix E: In-plane Transport Simulationsmentioning

confidence: 99%

Angle-dependent magnetoresistance oscillations of cuprate superconductors in a model with Fermi surface reconstruction and magnetic breakdown

Lewin

Analytis

2015

We calculate angle-dependent magnetoresistance oscillations (AMRO) for interlayer transport of cuprate superconductors in the presence of (π, π) order. The order reconstructs the Fermi surface, creating magnetic breakdown junctions; we show how such magnetic breakdown effects can be incorporated into calculations of interlayer conductivity for this system. We successfully fit experimental data with our model, and these fits suggest a connection between (π, π) order and the anisotropic scattering observed in overdoped cuprates. This work paves the way for the use of AMRO as a tool to distinguish different kinds of ordered states.

“…Another powerful method of understanding the shape of simple Fermi surfaces is angledependent magnetoresistance oscillations (AMRO), which allow access to the Fermi surface at much higher temperatures and scattering rates than the purely quantum oscillation effects. This method has been employed successfully to map both quasi-one dimensional (Q1D) and quasi-two dimensional (Q2D) Fermi surfaces, as in BEDT-TTF organic salts 3,4 , intercalated graphite compounds 5 , ruthenates 6 , and superconducting pnictides 7 and cuprates [8][9][10][11][12][13][14] .…”

Section: Introductionmentioning

confidence: 99%

Modeling the angle-dependent magnetoresistance oscillations of Fermi surfaces with hexagonal symmetry

Prentice

Coldea

2016

By solving the Boltzmann transport equation we investigate theoretically the general form of oscillations in the resistivity caused by varying the direction of an applied magnetic field for the case of quasi-two dimensional systems on hexagonal lattices. The presence of the angular magnetoresistance oscillations can be used to map out the topology of the Fermi surface and we study how this effect varies as a function of the degree of interplane warping as well as a function of the degree of isotropic scattering. We find that the angular dependent effect due to in-plane rotation follows the symmetry imposed by the lattice whereas for inter-plane rotation the degree of warping dictates the dominant features observed in simulations. Our calculations make predictions for specific angle-dependent magnetotransport signatures in magnetic fields expected for quasi-two dimensional hexagonal compounds similar to PdCoO2 and PtCoO2.