Magnetoresistance in the Two-Channel Anderson Lattice

Abstract

The paramagnetic phase of the two channel Anderson Lattice model in the Kondo limit is investigated in infinite spatial dimensions using the non-crossing approximation. The resistivity exhibits a Kondo upturn with decreasing T , followed by a slow decrease to a finite value at T = 0. The decrease reflects lattice coherence effects in concert with particle-hole symmetry breaking. The magneto-resistance obeys an approximate scaling relation, decreasing towards coherent Fermi liquid behavior with increasing field. The magnetic field induces a Drude peak in the optical conductivity. 75.30.Mb, 71.27.+a, 75.10.Dg

Two-Channel Kondo Effect in Glasslike ThAsSe

“…Both observations, however, confirm the existence of a characteristic energy scale of a few K in ThAsSe. We note that a negative MR is also expected for a 2CK effect originating from electrical quadrupole moments [30].…”

Quantum criticality and the suppression of the heavy fermion state in UBe13by high magnetic fields

“…The field dependence we observe is consistent with this view. Finite temperature scaling relations have been reported for the magnetoresistance of UBe 13 [11,16], scaling that is consistent with Kondo physics [7,17]. Unfortunately these scaling arguments do not permit a direct comparison with the field dependence of o (because of the T ¼ 0 extrapolation of the fit) to further our discussion of this parameter.…”

From Ferromagnetism to Spin-Density Wave: Magnetism in the Two Channel Periodic Anderson Model

“…They are caused by the overcompensated effective impurity on each uranium site acting as an incoherent scatterer. The predicted absence of a Drude peak in the optical conductivity [5] has been found experimentally in UBe 13 [6]. On a lattice, however, the residual entropy [7] is expected to be quenched by a phase transition.…”

“…In the TCPAM, the restricted local Hilbert space, consisting of a quadrupolar and a magnetic ground state doublet for two different valence configurations, models a uranium ion in a cubic environment, which can fluctuate between 5f 2 ͞5f 3 or 5f 1 ͞5f 2 ground state configurations. On symmetry grounds, the coupling of the ion to the itinerant electrons via hybridization can be characterized by an orbital and a spin label generating an effective two band model [3].It has been shown that the paramagnetic phase exhibits non-Fermi-liquid properties, as manifest in a large residual resistivity [5]. They are caused by the overcompensated effective impurity on each uranium site acting as an incoherent scatterer.…”