Longitudinal interlayer magnetoresistance in quasi-2D metals

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Abstract

The longitudinal interlayer magnetoresistance \(R_{zz}(B_{z})\) is calculated in strongly anisotropic layered metals, when the interlayer band width \(4t_{z}\) is less than the Landau level separation \(\hbar \omega_{c}\). The impurity scattering has much stronger effect in this regime than in 3D metals and leads to a linear longitudinal interlayer magnetoresistance \(R_{zz}\propto B_{z}\) in the interval \(\hbar \omega_{c}>4t_{z}>>\sqrt{\Gamma_{0}\hbar \omega_{c}}\) changing to a square-root dependence \(R_{zz}\propto B_{z}^{1/2}\) at higher field or smaller \(t_{z}\). The crossover field allows to estimate the interlayer transfer integral as \(t_{z}\sim \sqrt{\Gamma_{0}\hbar \omega_{c}}\). Longitudinal interlayer magnetoresistance, being robust to the increase of temperature or long-range disorder, is easy for measurements and provides a useful tool to investigate the electronic structure of quasi-two-dimensional compounds.

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Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor

Louis Taillefer, W. N. Hardy, D. A. Bonn … (2008)

Despite twenty years of research, the phase diagram of high transition- temperature superconductors remains enigmatic. A central issue is the origin of the differences in the physical properties of these copper oxides doped to opposite sides of the superconducting region. In the overdoped regime, the material behaves as a reasonably conventional metal, with a large Fermi surface. The underdoped regime, however, is highly anomalous and appears to have no coherent Fermi surface, but only disconnected "Fermi arcs". The fundamental question, then, is whether underdoped copper oxides have a Fermi surface, and if so, whether it is topologically different from that seen in the overdoped regime. Here we report the observation of quantum oscillations in the electrical resistance of the oxygen-ordered copper oxide YBa2Cu3O6.5, establishing the existence of a well-defined Fermi surface in the ground state of underdoped copper oxides, once superconductivity is suppressed by a magnetic field. The low oscillation frequency reveals a Fermi surface made of small pockets, in contrast to the large cylinder characteristic of the overdoped regime. Two possible interpretations are discussed: either a small pocket is part of the band structure specific to YBa2Cu3O6.5 or small pockets arise from a topological change at a critical point in the phase diagram. Our understanding of high-transition temperature (high-Tc) superconductors will depend critically on which of these two interpretations proves to be correct.