Failure of the Baym-Kadanoff construction to consistently match quantum dynamics with thermodynamic critical behavior
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F24%3A00585795" target="_blank" >RIV/68378271:_____/24:00585795 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/24:43971586
Result on the web
<a href="https://hdl.handle.net/11104/0353471" target="_blank" >https://hdl.handle.net/11104/0353471</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevB.109.075171" target="_blank" >10.1103/PhysRevB.109.075171</a>
Alternative languages
Result language
angličtina
Original language name
Failure of the Baym-Kadanoff construction to consistently match quantum dynamics with thermodynamic critical behavior
Original language description
We disclose a serious deficiency of the Baym-Kadanoff construction of thermodynamically consistent conserving approximations. There are two vertices in this scheme: dynamical and conserving. The divergence of each indicates a phase instability. We show that each leads to incomplete and qualitatively different behavior at different critical points. The diagrammatically controlled dynamical vertex from the Schwinger-Dyson equation does not obey the Ward identity and cannot be continued beyond its singularity. The divergence in the conserving vertex, obeying the conservation laws, does not invoke critical behavior of the spectral function and the specific heat and does not comply with the Mermin-Wagner theorem. The description of the critical behavior of correlated electrons becomes consistent and reliable only if the fluctuations of the order parameter in the conserving vertex lead to a divergence coinciding with that of the dynamical one.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10302 - Condensed matter physics (including formerly solid state physics, supercond.)
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review B
ISSN
2469-9950
e-ISSN
2469-9969
Volume of the periodical
109
Issue of the periodical within the volume
7
Country of publishing house
US - UNITED STATES
Number of pages
12
Pages from-to
075171
UT code for WoS article
001198516100005
EID of the result in the Scopus database
2-s2.0-85186329507