Collective excitations and low temperature transport properties of bismuth

Abstract

We examine the influence of collective excitations on the transport properties (resistivity, magneto- optical conductivity) for semimetals, focusing on the case of bismuth. We show, using an RPA approximation, that the properties of the system are drastically affected by the presence of an acoustic plasmon mode, consequence of the presence of two types of carriers (electrons and holes) in this system. We found a crossover temperature T* separating two different regimes of transport. At high temperatures T > T* we show that Baber scattering explains quantitatively the DC resistivity experiments, while at low temperatures T < T* interactions of the carriers with this collective mode lead to a T^5 behavior of the resistivity. We examine other consequences of the presence of this mode, and in particular predict a two plasmon edge feature in the magneto-optical conductivity. We compare our results with the experimental findings on bismuth. We discuss the limitations and extensions of our results beyond the RPA approximation, and examine the case of other semimetals such as graphite or 1T-TiSe_2.

References in corpus (8)

• Evidence for an excitonic insulator phase in 1T-TiSe${}_2$
• Nernst effect in semi-metals: the meritorious heaviness of electrons
• Nernst effect and dimensionality in the quantum limit
• Charge carrier interaction with a purely electronic collective mode: Plasmarons and the infrared response of elemental bismuth
• A consistent interpretation of the low temperature magneto-transport in graphite using the Slonczewski--Weiss--McClure 3D band structure calculations
• Infrared Conductivity of Elemental Bismuth under Pressure: Evidence for an Avoided Lifshitz-Type Semimetal-Semiconductor Transition
• Transport anomalies across the quantum limit in semimetallic Bi${}_{0.96}$Sb${}_{0.04}$
• Collective charge density excitations in two-component one-dimensional quantum plasmas: Phase fluctuation mode dispersion and spectral weight in semiconductor quantum wire nanostructures

Cited by in corpus (6)

• Pairing from dynamically screened Coulomb repulsion in bismuth
• Synthesizing Coulombic superconductivity in van der Waals bilayers
• Resonant plasmon-phonon coupling and its role in magneto-thermoelectricity in bismuth
• Do Dynamical Excitonic Liquid Correlations Mediate Superconductivity in Elemental Bismuth?
• Magnetoplasmon resonances in polycrystalline bismuth as seen via terahertz spectroscopy
• Many-body fermionic excitations in Weyl semimetals due to elastic gauge fields