A pedagogical derivation of dynamical susceptibilities
Dynamical two-particle susceptibilites are important for a wide range of different experiments in condensed-matter physics and beyond. Nevertheless, most textbooks avoid describing how to derive such response functions, perhaps because they are viewed as too complex. In the literature, most derivati...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Institute for Condensed Matter Physics
2021-01-01
|
| Series: | Condensed Matter Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.5488/CMP.23.43703 |
| _version_ | 1818453865546121216 |
|---|---|
| author | R.D. Nesselrodt J.K. Freericks |
| author_facet | R.D. Nesselrodt J.K. Freericks |
| author_sort | R.D. Nesselrodt |
| collection | DOAJ |
| description | Dynamical two-particle susceptibilites are important for a wide range of different experiments in condensed-matter physics and beyond. Nevertheless, most textbooks avoid describing how to derive such response functions, perhaps because they are viewed as too complex. In the literature, most derivations work with generalized susceptibilities, which are more general, but require an even higher layer of complexity. In this work, we show a more direct derivation in the context of model Hamiltonians which can be mapped directly onto an impurity model. We also present an alternative derivation for the irreducible vertex in the context of the Falicov-Kimball model. |
| first_indexed | 2024-12-14T21:45:47Z |
| format | Article |
| id | doaj.art-99a77600c8b64f6d9d63bdecaa468f8e |
| institution | Directory Open Access Journal |
| issn | 1607-324X 2224-9079 |
| language | English |
| last_indexed | 2024-12-14T21:45:47Z |
| publishDate | 2021-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-99a77600c8b64f6d9d63bdecaa468f8e2022-12-21T22:46:22ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2224-90792021-01-012344370310.5488/CMP.23.43703A pedagogical derivation of dynamical susceptibilitiesR.D. NesselrodtJ.K. FreericksDynamical two-particle susceptibilites are important for a wide range of different experiments in condensed-matter physics and beyond. Nevertheless, most textbooks avoid describing how to derive such response functions, perhaps because they are viewed as too complex. In the literature, most derivations work with generalized susceptibilities, which are more general, but require an even higher layer of complexity. In this work, we show a more direct derivation in the context of model Hamiltonians which can be mapped directly onto an impurity model. We also present an alternative derivation for the irreducible vertex in the context of the Falicov-Kimball model.https://doi.org/10.5488/CMP.23.43703dynamical susceptibilitykeldysh formalismlinear response |
| spellingShingle | R.D. Nesselrodt J.K. Freericks A pedagogical derivation of dynamical susceptibilities Condensed Matter Physics dynamical susceptibility keldysh formalism linear response |
| title | A pedagogical derivation of dynamical susceptibilities |
| title_full | A pedagogical derivation of dynamical susceptibilities |
| title_fullStr | A pedagogical derivation of dynamical susceptibilities |
| title_full_unstemmed | A pedagogical derivation of dynamical susceptibilities |
| title_short | A pedagogical derivation of dynamical susceptibilities |
| title_sort | pedagogical derivation of dynamical susceptibilities |
| topic | dynamical susceptibility keldysh formalism linear response |
| url | https://doi.org/10.5488/CMP.23.43703 |
| work_keys_str_mv | AT rdnesselrodt apedagogicalderivationofdynamicalsusceptibilities AT jkfreericks apedagogicalderivationofdynamicalsusceptibilities AT rdnesselrodt pedagogicalderivationofdynamicalsusceptibilities AT jkfreericks pedagogicalderivationofdynamicalsusceptibilities |