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Stability of Dirac Liquids with Strong Coulomb Interaction
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik.
2017 (engelsk)Inngår i: Physical Review Letters, ISSN 0031-9007, E-ISSN 1079-7114, Vol. 118, nr 2, artikkel-id 026403Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
American Physical Society, 2017. Vol. 118, nr 2, artikkel-id 026403
Emneord [en]
Approximation algorithms, Coulomb interactions, Monte Carlo methods, Statistical mechanics, Coulomb couplings, Coupling constants, Functional renormalization group, Monte Carlo techniques, Random phase approximations, Renormalization group, Theoretical framework, Vertex correction, Liquids
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-202223DOI: 10.1103/PhysRevLett.118.026403ISI: 000391927700007Scopus ID: 2-s2.0-85010399644OAI: oai:DiVA.org:kth-202223DiVA, id: diva2:1082998
Forskningsfinansiär
Stiftelsen Olle Engkvist ByggmästareSwedish Research Council, 642-2013-7837
Merknad

 QC 20170320

Tilgjengelig fra: 2017-03-20 Laget: 2017-03-20 Sist oppdatert: 2018-02-26bibliografisk kontrollert

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