The Drude‐Smith Equation and Related Equations for the Frequency‐Dependent Electrical Conductivity of Materials: Insight from a Memory Function Formalism
The Drude‐Smith equation is widely used for treating the frequency‐dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscatteri...
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| Published in | Chemphyschem Vol. 22; no. 16; pp. 1667 - 1674 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Weinheim
Wiley Subscription Services, Inc
18.08.2021
John Wiley and Sons Inc |
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| Abstract | The Drude‐Smith equation is widely used for treating the frequency‐dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscattering of the charge carriers. It has nevertheless been criticized, including by Smith himself, because of the arbitrariness of a step in the derivation. We recall a somewhat similar behavior of back scattering in fluids observed in molecular dynamics computations and discussed in terms of memory functions. We show how theories such as Drude‐Smith and Cocker et al. are examples of a broader class of theories by showing how they also arise as particular cases of a memory function formalism that divides the interactions into short and long range.
Insight into the Drude‐Smith equation commonly used to treat terahertz electrical conductivity of solids and the role of backscattering is obtained using extensive computer‐based studies of a related quantity, the velocity autocorrelation function of fluids. The latter has been interpreted using a memory function formalism which is then used here to analyze and extend the Drude‐Smith equation. |
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| AbstractList | The Drude‐Smith equation is widely used for treating the frequency‐dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscattering of the charge carriers. It has nevertheless been criticized, including by Smith himself, because of the arbitrariness of a step in the derivation. We recall a somewhat similar behavior of back scattering in fluids observed in molecular dynamics computations and discussed in terms of memory functions. We show how theories such as Drude‐Smith and Cocker
et al
. are examples of a broader class of theories by showing how they also arise as particular cases of a memory function formalism that divides the interactions into short and long range. The Drude-Smith equation is widely used for treating the frequency-dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscattering of the charge carriers. It has nevertheless been criticized, including by Smith himself, because of the arbitrariness of a step in the derivation. We recall a somewhat similar behavior of back scattering in fluids observed in molecular dynamics computations and discussed in terms of memory functions. We show how theories such as Drude-Smith and Cocker et al. are examples of a broader class of theories by showing how they also arise as particular cases of a memory function formalism that divides the interactions into short and long range.The Drude-Smith equation is widely used for treating the frequency-dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscattering of the charge carriers. It has nevertheless been criticized, including by Smith himself, because of the arbitrariness of a step in the derivation. We recall a somewhat similar behavior of back scattering in fluids observed in molecular dynamics computations and discussed in terms of memory functions. We show how theories such as Drude-Smith and Cocker et al. are examples of a broader class of theories by showing how they also arise as particular cases of a memory function formalism that divides the interactions into short and long range. The Drude‐Smith equation is widely used for treating the frequency‐dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscattering of the charge carriers. It has nevertheless been criticized, including by Smith himself, because of the arbitrariness of a step in the derivation. We recall a somewhat similar behavior of back scattering in fluids observed in molecular dynamics computations and discussed in terms of memory functions. We show how theories such as Drude‐Smith and Cocker et al. are examples of a broader class of theories by showing how they also arise as particular cases of a memory function formalism that divides the interactions into short and long range. Insight into the Drude‐Smith equation commonly used to treat terahertz electrical conductivity of solids and the role of backscattering is obtained using extensive computer‐based studies of a related quantity, the velocity autocorrelation function of fluids. The latter has been interpreted using a memory function formalism which is then used here to analyze and extend the Drude‐Smith equation. The Drude‐Smith equation is widely used for treating the frequency‐dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscattering of the charge carriers. It has nevertheless been criticized, including by Smith himself, because of the arbitrariness of a step in the derivation. We recall a somewhat similar behavior of back scattering in fluids observed in molecular dynamics computations and discussed in terms of memory functions. We show how theories such as Drude‐Smith and Cocker et al . are examples of a broader class of theories by showing how they also arise as particular cases of a memory function formalism that divides the interactions into short and long range. Insight into the Drude‐Smith equation commonly used to treat terahertz electrical conductivity of solids and the role of backscattering is obtained using extensive computer‐based studies of a related quantity, the velocity autocorrelation function of fluids. The latter has been interpreted using a memory function formalism which is then used here to analyze and extend the Drude‐Smith equation. The Drude‐Smith equation is widely used for treating the frequency‐dependent electrical conductivity of materials in the terahertz region. An attractive feature is its sparsity of adjustable parameters. A significant improvement over Drude theory for these materials, the theory includes backscattering of the charge carriers. It has nevertheless been criticized, including by Smith himself, because of the arbitrariness of a step in the derivation. We recall a somewhat similar behavior of back scattering in fluids observed in molecular dynamics computations and discussed in terms of memory functions. We show how theories such as Drude‐Smith and Cocker et al. are examples of a broader class of theories by showing how they also arise as particular cases of a memory function formalism that divides the interactions into short and long range. |
| Author | Chen, Wei‐Chen Marcus, Rudolph A. |
| AuthorAffiliation | 1 Noyes Laboratory of Chemical Physics California Institute of Technology 1200 E California Blvd. Pasadena California 91125 USA |
| AuthorAffiliation_xml | – name: 1 Noyes Laboratory of Chemical Physics California Institute of Technology 1200 E California Blvd. Pasadena California 91125 USA |
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| Cites_doi | 10.1063/1.1727719 10.1007/BF01351552 10.1021/ja00905a001 10.1007/s10762-012-9905-y 10.1038/nphys1953 10.1088/1361-6528/ab0f02 10.1103/PhysRevB.64.155106 10.1021/jp711827g 10.1143/PTP.33.423 10.1021/jp4043599 10.1021/jp064399a 10.1063/1.1977213 10.1103/PhysRevA.7.1690 10.1063/1.1704269 10.1103/PhysRevLett.108.056603 10.1103/PhysRevA.2.2514 10.1063/1.4993524 10.1364/OL.44.004139 10.1016/0375-9601(68)90513-6 10.1002/adom.201900623 10.1063/1.438659 10.1021/acsenergylett.9b02310 10.1063/1.5086085 10.1039/C5EE02503F 10.1103/PhysRevB.99.041102 10.1021/jp953050c 10.1103/PhysRevE.58.538 10.1103/PhysRevB.80.235206 10.1103/PhysRevB.55.12210 10.1103/PhysRevE.96.042606 10.1039/C6RA26819F 10.1103/PhysRevE.79.011114 10.1143/JPSJ.12.570 10.1103/PhysRevB.99.035407 10.1103/PhysRevB.96.205439 10.1149/1.3700406 10.1007/978-3-030-68667-3 10.1063/1.3518482 10.1103/PhysRevB.79.115309 10.1007/BFb0119322 10.1063/1.3698097 10.1103/PhysRevB.98.165132 10.1103/PhysRev.136.A405 10.1088/1361-6528/aae8ce 10.1021/jacs.9b04338 10.1007/s10854-007-9248-y 10.1063/1.4927383 |
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| Snippet | The Drude‐Smith equation is widely used for treating the frequency‐dependent electrical conductivity of materials in the terahertz region. An attractive... The Drude-Smith equation is widely used for treating the frequency-dependent electrical conductivity of materials in the terahertz region. An attractive... |
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| SubjectTerms | Backscattering Computational fluid dynamics conductivity Current carriers Drude equation Drude-Smith equation Electrical resistivity Formalism memory function terahertz region Molecular dynamics |
| Title | The Drude‐Smith Equation and Related Equations for the Frequency‐Dependent Electrical Conductivity of Materials: Insight from a Memory Function Formalism |
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