Memory Function Approach to Correlated Electron Transport: A Comprehensive Review

Abstract

Memory function formalism or projection operator technique is an extremely useful method to study the transport and optical properties of various condensed matter systems. A recent revival of its uses in various correlated electronic systems is being observed. It is being used and discussed in various contexts, ranging from non-equilibrium dynamics to the optical properties of various strongly correlated systems such as high temperature superconductors. However, a detailed discussion on this method, starting from its origin to its present day applications at one place is lacking. In this article we attempt a comprehensive review of the memory function approach focusing on its uses in studying the dynamics and the transport properties of correlated electronic systems.

13 pages, 4 figures

References in corpus (9)

• Electrodynamics of Correlated Electron Materials
• Memory matrix theory of magnetotransport in strange metals
• DC resistivity at the onset of spin density wave order in two-dimensional metals
• Conductivity of a strange metal: from holography to memory functions
• Dynamic spin susceptibility of superconducting cuprates: A microscopic theory of the magnetic resonance mode
• Magnetic collective mode in underdoped cuprates: a phenomenological analysis
• Double dispersion of the magnetic resonant mode in cuprates
• Optical and dc conductivities of cuprates: Spin-fluctuation scattering in the t-J model
• Moment Expansion to the Memory Function for Generalized Drude Scattering rate

Cited by in corpus (7)

• Theory of the Dynamical Thermal conductivity of Metals
• Role of acoustic phonons in frequency dependent thermal conductivity of graphene
• Finite frequency Seebeck coefficient of metals: A memory function approach
• A comparative study of finite frequency scattering rate from Allen, Mitrović-Fiorucci, Shulga-Dolgov-Maksimov, Sharapov-Carbotte and Götze-Wölfle Memory Function formalisms
• Quantum Transport Theory of Strongly Correlated Matter
• Spin responses of a disordered helical superconducting edge under Zeeman field
• A theory of resistivity in Kondo lattice materials: the memory function approach