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Stability of Dirac Liquids with Strong Coulomb Interaction
Tupitsyn, Igor S ; Prokof'ev, Nikolay V
Physical review letters, 2017-01, Vol.118 (2), p.026403-026403, Article 026403
[Periódico revisado por pares]
United States
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Título:
Stability of Dirac Liquids with Strong Coulomb Interaction
Autor:
Tupitsyn, Igor S
;
Prokof'ev, Nikolay V
Assuntos:
Approximation
;
Approximation algorithms
;
Asymptotic properties
;
Constants
;
Coulomb couplings
;
Coulomb friction
;
Coulomb interactions
;
Coupling
;
Coupling constants
;
Functional renormalization group
;
Liquids
;
Mathematical analysis
;
Monte Carlo methods
;
Monte Carlo techniques
;
Random phase approximations
;
Renormalization group
;
Stability
;
Statistical mechanics
;
Theoretical framework
;
Vertex correction
É parte de:
Physical review letters, 2017-01, Vol.118 (2), p.026403-026403, Article 026403
Notas:
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
Descrição:
We develop and apply the diagrammatic Monte Carlo technique to address the problem of the stability of the Dirac liquid state (in a graphene-type system) against the strong long-range part of the Coulomb interaction. So far, all attempts to deal with this problem in the field-theoretical framework were limited either to perturbative or random phase approximation and functional renormalization group treatments, with diametrically opposite conclusions. Our calculations aim at the approximation-free solution with controlled accuracy by computing vertex corrections from higher-order skeleton diagrams and establishing the renormalization group flow of the effective Coulomb coupling constant. We unambiguously show that with increasing the system size L (up to ln(L)∼40), the coupling constant always flows towards zero; i.e., the two-dimensional Dirac liquid is an asymptotically free T=0 state with divergent Fermi velocity.
Editor:
United States
Idioma:
Inglês
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