Abstract: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 ov… Show more
“…The inset in Fig. 2a shows the dependence of the magnetoresistance on magnetic field orientation (angle-dependent magnetoresistance (ADMR) is a powerful tool for investigating the geometry of the quasi-particle dispersion, yielding, for example, detailed information about the Fermi surfaces of high T c superconductors 30 ), at 1.4 K (well into the low-temperature regime) and 4.2 K (in the intermediate temperature regime). The significant change in the form of the ADMR is characteristic of the transition from bulk-dominated conduction at high temperatures to surface-dominated conduction at 1.4 K. Fig.…”
Topological insulators exhibit a metallic surface state in which the directions of the carriers’ momentum and spin are locked together. This characteristic property, which lies at the heart of proposed applications of topological insulators, protects carriers in the surface state from back-scattering unless the scattering centres are time-reversal symmetry breaking (i.e. magnetic). Here, we introduce a method of probing the effect of magnetic scattering by decorating the surface of topological insulators with molecules, whose magnetic degrees of freedom can be engineered independently of their electrostatic structure. We show that this approach allows us to separate the effects of magnetic and non-magnetic scattering in the perturbative limit. We thereby confirm that the low-temperature conductivity of SmB6 is dominated by a surface state and that the momentum of quasiparticles in this state is particularly sensitive to magnetic scatterers, as expected in a topological insulator.
“…The inset in Fig. 2a shows the dependence of the magnetoresistance on magnetic field orientation (angle-dependent magnetoresistance (ADMR) is a powerful tool for investigating the geometry of the quasi-particle dispersion, yielding, for example, detailed information about the Fermi surfaces of high T c superconductors 30 ), at 1.4 K (well into the low-temperature regime) and 4.2 K (in the intermediate temperature regime). The significant change in the form of the ADMR is characteristic of the transition from bulk-dominated conduction at high temperatures to surface-dominated conduction at 1.4 K. Fig.…”
Topological insulators exhibit a metallic surface state in which the directions of the carriers’ momentum and spin are locked together. This characteristic property, which lies at the heart of proposed applications of topological insulators, protects carriers in the surface state from back-scattering unless the scattering centres are time-reversal symmetry breaking (i.e. magnetic). Here, we introduce a method of probing the effect of magnetic scattering by decorating the surface of topological insulators with molecules, whose magnetic degrees of freedom can be engineered independently of their electrostatic structure. We show that this approach allows us to separate the effects of magnetic and non-magnetic scattering in the perturbative limit. We thereby confirm that the low-temperature conductivity of SmB6 is dominated by a surface state and that the momentum of quasiparticles in this state is particularly sensitive to magnetic scatterers, as expected in a topological insulator.
“…where j indexes all of the MB junctions, n j indicates the number of times the quasiparticle has Bragg diffracted at the j th MB junction, and ∆k (j) z is the amount by which k 0 z changes when undergoing Bragg diffraction at the j th MB junction; ∆k (j) z can be found through simple geometric means, as described in Ref. 23. We set n j (ϕ 0 ) = 0.…”
Section: Calculating Interlayer Admrmentioning
confidence: 99%
“…Building on Falicov and Sievert's treatment of magnetic breakdown for in-plane conductivity 25 , Nowojewski et al showed that this issue can be solved by writing a self-consistent, vectorized form of the Shockley-Chambers tube integral 26,27 . This method has previously been used to study systems wherein ω did not vary with ϕ 23,28 . For this work, we extend the equations of Ref.…”
Section: B Fermi Surface Across the Brillouin Zone Boundarymentioning
confidence: 99%
“…For this work, we extend the equations of Ref. 23 to account for the variation of ω about the Fermi surface. We write the (dimensionless) conductivity in the following form:…”
Section: B Fermi Surface Across the Brillouin Zone Boundarymentioning
confidence: 99%
“…As illustrated in Ref. 23, we can substitute k H = k 0 z cos(θ). We can also substitute m c = eB/ω c and simplify to obtain…”
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]
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