Conserving approximations for response functions of the Fermi gas in a random potential
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F16%3A00470820" target="_blank" >RIV/68378271:_____/16:00470820 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1140/epjb/e2016-70188-1" target="_blank" >http://dx.doi.org/10.1140/epjb/e2016-70188-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjb/e2016-70188-1" target="_blank" >10.1140/epjb/e2016-70188-1</a>
Alternative languages
Result language
angličtina
Original language name
Conserving approximations for response functions of the Fermi gas in a random potential
Original language description
One- and two-electron Green functions are simultaneously needed to determine the response functions of the electron gas in a random potential. Reliable approximations must retain consistency between the two types of Green functions expressed via Ward identities so that their output is compliant with macroscopic symmetries and conservation laws. Such a consistency is not directly guaranteed when summing nonlocal corrections to the local (dynamical) mean field. We show how the full Ward identity can generically be implemented in the diagrammatic approach without breaking the analytic properties of the self-energy. We use the low-energy asymptotics of the conserving two-particle vertex determining the singular part of response and correlation functions to derive an exact representation of the diffusion constant in terms of Green functions of the perturbation theory. We then calculate explicitly the leading vertex corrections to the mean-field diffusion constant.n
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BM - Solid-state physics and magnetism
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA15-14259S" target="_blank" >GA15-14259S: Quantum criticality in strongly correlated electron systems: Consistent description of spectral and thermodynamic properties</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Physical Journal B
ISSN
1434-6028
e-ISSN
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Volume of the periodical
89
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
12
Pages from-to
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UT code for WoS article
000380089100001
EID of the result in the Scopus database
2-s2.0-84979578234