Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of the semiclassical model

Abstract

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of fundamental interest. It appears that in quasicrystals and related complex metallic alloys, a new type of break-down of this theory operates. This phenomenon is related to the specific propagation of electrons. We develop a theory of quantum transport that applies to a normal ballistic law but also to these specific diffusion laws. As we show phenomenological models based on this theory describe correctly the anomalous conductivity in quasicrystals. Ab-initio calculations performed on approximants confirm also the validity of this anomalous quantum diffusion scheme. This provides us with an ab-initio model of transport in approximants such as alpha-AlMnSi and AlCuFe 1/1 cubic approximant.

arXiv comment11 pages, 5 figures

References in corpus (14)

• Electronic transport properties of quasicrystals: a Review
• Quantum dynamics in two and three-dimensional quasiperiodic tilings
• Quantum transport of slow charge carriers in quasicrystals and correlated systems
• Fermi surfaces and anomalous transport in quasicrystals
• Optical properties of small polarons from dynamical mean-field theory
• Optical and transport properties of heavy fermions: theory compared to experiment
• Polarization catastrophe in the polaronic Wigner crystal
• Polaronic features in the optical properties of the Holstein-t-J model
• Is the Quantum Melting of a Polaron Wigner Crystal an Insulator-to-Superconductor transition ?
• Indirect Mn-Mn pair interaction induces pseudogap in density of states of Al(Si)-Mn approximants
• Stability and electronic structure in hexagonal beta-Al9Mn3Si and phi-Al10Mn3 crystals
• Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of the semiclassical model
• Experimental study of the competition between Kondo and RKKY interactions for Mn spins in a model alloy system
• Polaron Dissociation at the Insulator-to-Metal Transition

Cited by in corpus (6)

• Anomalous electronic transport in Quasicrystals and related Complex Metallic Alloys
• Breakdown of the semi-classical conduction theory in approximants of the octagonal tiling
• Electronic transport in AlMn(Si) and AlCuFe quasicrystals: Break-down of the semiclassical model
• Sub-diffusive electronic states in octagonal tiling
• Electronic structure and transport in approximants of the Penrose tiling
• Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals