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In this paper, we review and substantially develop the recently proposed "Microscopic Response Method", which has been devised to compute transport coefficients and especially associated temperature dependence in complex materials. The…

Statistical Mechanics · Physics 2023-07-19 MingLiang Zhang , D. A. Drabold

This report reviews recent progress in computing Kubo formulas for general interacting Hamiltonians. The aim is to calculate electric and thermal magneto-conductivities in strong scattering regimes where Boltzmann equation and Hall…

Strongly Correlated Electrons · Physics 2024-10-04 Assa Auerbach , Sauri Bhattacharyya

Using Kubo's linear response theory, we derive expressions for the frequency-dependent electrical conductivity (Kubo-Greenwood formula), thermopower, and thermal conductivity in a strongly correlated electron system. These are evaluated…

Plasma Physics · Physics 2012-05-04 Bastian Holst , Martin French , Ronald Redmer

The transport coefficients of quark matter at non-zero chemical potential and temperature are computed within the two-flavor Nambu--Jona-Lasinio model. We apply the Kubo formalism to obtain the thermal ($\kappa$) and electrical ($\sigma$)…

Nuclear Theory · Physics 2020-06-30 Arus Harutyunyan , Dirk H. Rischke , Armen Sedrakian

We present an ab initio study of the structural and electronic transport properties of tetrahedrite, Cu$_{12}$Sb$_4$S$_{13}$, in its high-temperature phase. We show how this complex compound can be seen as the outcome of an ordered…

Materials Science · Physics 2020-07-07 Cono di Paola , Francesco Macheda , Savio Laricchia , Cedric Weber , Nicola Bonini

We have combined the Boltzmann transport equation with an {\it ab initio} approach to compute the thermoelectric coefficients of semiconductors. Electron-phonon, ionized impurity, and electron-plasmon scattering rates have been taken into…

Materials Science · Physics 2018-10-26 Z. Wang , S. Wang , S. Obukhov , N. Vast , J. Sjakste , V. Tyuterev , N. Mingo

We review a recently developed formalism for computing thermoelectric coefficients in correlated matter. The usual difficulties of such a calculation are circumvented by a careful generalization the transport formalism to finite…

Strongly Correlated Electrons · Physics 2026-01-14 B Sriram Shastry

The transport properties of the perovskites KTaO$_3$ are calculated using first-principles methods. Our study is based on Boltzmann transport theory and the relaxation time approximation, where the scattering rate is calculated using an…

Materials Science · Physics 2016-01-26 Burak Himmetoglu , Anderson Janotti

This work demonstrates a first-principles-based approach to obtaining finite temperature thermal and electronic transport properties which can be employed to model and understand mesoscale structural evolution during electronic, magnetic,…

In this review, we survey the current progress in computing transport properties in semimetals which harbour non-Fermi liquid phases. We first discuss the widely-used Kubo formalism, which can be applied to the effective theory describing…

Strongly Correlated Electrons · Physics 2024-08-28 Ipsita Mandal , Hermann Freire

We use the Kubo response functions to calculate the electrical and thermal conductivity and Seebeck coefficient at low temperatures and frequencies in the quantum-critical region for fermions on a lattice. The theory uses scattering of the…

Strongly Correlated Electrons · Physics 2026-01-05 Hideaki Maebashi , Chandra M. Varma

We revisit a phenomenological model of fermions coupled to fluctuating bosons that emerges from finite-momentum particle-particle pairs for describing the strange metal phase in the cuprates. The incoherent bosons dominate the transport…

Strongly Correlated Electrons · Physics 2023-06-16 Emile Pangburn , Anurag Banerjee , Hermann Freire , Catherine Pépin

An efficient order$-N$ real-space Kubo approach is developed for the calculation of the thermal conductivity of complex disordered materials. The method, which is based on the Chebyshev polynomial expansion of the time evolution operator…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Wu Li , Haldun Sevincli , Stephan Roche , Gianaurelio Cuniberti

In recent years, predictive computational modeling has become a cornerstone for the study of fundamental electronic, optical, and thermal properties in complex forms of condensed matter, including Dirac and topological materials. The…

Exact formulas for the Hall coefficient, modified Nernst coefficient, and thermal Hall coefficient of metals are derived from the Kubo formula. These coefficients depend exclusively on equilibrium (time independent) susceptibilities, which…

Strongly Correlated Electrons · Physics 2019-03-27 Assa Auerbach

We explore the charge transport mechanism in organic semiconductors based on a model that accounts for the thermal intermolecular disorder at work in pure crystalline compounds, as well as extrinsic sources of disorder that are present in…

Materials Science · Physics 2012-12-10 S. Ciuchi , S. Fratini

This work is devoted to the \textit{ab initio} calculation of transport and optical properties of aluminum. The calculation is based on the quantum molecular dynamics simulation, density functional theory and the Kubo-Greenwood formula.…

Computational Physics · Physics 2013-10-16 D. V. Knyazev , P. R. Levashov

We study the electronic contribution to the thermal conductivity and the thermopower of Weyl and Dirac semimetals using a semiclassical Boltzmann approach. We investigate the effect of various relaxation processes including disorder and…

Strongly Correlated Electrons · Physics 2014-10-16 Rex Lundgren , Pontus Laurell , Gregory A. Fiete

We prove that a diagrammatic evaluation of the Kubo formula for the electronic transport conductivity due the exchange of bosonic excitations, in the usual conserving ladder approximation, yields a result consistent with the Boltzmann…

Statistical Mechanics · Physics 2015-05-13 D. Belitz , T. R. Kirkpatrick

We outline a general approach to the computation of transport properties of interacting systems at low temperetures and frequencies. We show that if the fixed point and the irrelevant operators around it are known, then by studying the…

Strongly Correlated Electrons · Physics 2009-11-10 Natan Andrei , Efrat Shimshoni , Achim Rosch
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