Failure of the Baym-Kadanoff construction to consistently match quantum dynamics with thermodynamic critical behavior

Kód výsledku v 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>

Nalezeny alternativní kódy

RIV/49777513:23520/24:43971586

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Failure of the Baym-Kadanoff construction to consistently match quantum dynamics with thermodynamic critical behavior

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Failure of the Baym-Kadanoff construction to consistently match quantum dynamics with thermodynamic critical behavior

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10302 - Condensed matter physics (including formerly solid state physics, supercond.)

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review B

ISSN

2469-9950

e-ISSN

2469-9969

Svazek periodika

109

Číslo periodika v rámci svazku

7

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

12

Strana od-do

075171

Kód UT WoS článku

001198516100005

EID výsledku v databázi Scopus

2-s2.0-85186329507