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dc.creatorKachru, Shamit-
dc.creatorMulligan, Michael-
dc.creatorTorroba, Gonzalo-
dc.creatorWang, Huajia-
dc.date2018-09-18T15:11:07Z-
dc.date2018-09-18T15:11:07Z-
dc.date2015-12-
dc.date2018-09-10T15:53:18Z-
dc.date.accessioned2019-04-29T15:55:49Z-
dc.date.available2019-04-29T15:55:49Z-
dc.identifierKachru, Shamit; Mulligan, Michael; Torroba, Gonzalo; Wang, Huajia; Mirror symmetry and the half-filled Landau level; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 92; 23; 12-2015; 1-16-
dc.identifier1098-0121-
dc.identifierhttp://hdl.handle.net/11336/60072-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/305588-
dc.descriptionWe study the dynamics of the half-filled zeroth Landau level of Dirac fermions using mirror symmetry, a supersymmetric duality between certain pairs of 2+1-dimensional theories. We show that the half-filled zeroth Landau level of a pair of Dirac fermions is dual to a pair of Fermi surfaces of electrically neutral composite fermions, coupled to an emergent gauge field. Thus, we use supersymmetry to provide a derivation of flux attachment and the emergent Fermi-liquid-like state for the lowest Landau level of Dirac fermions. We find that in the dual theory the Coulomb interaction induces a dynamical exponent z=2 for the emergent gauge field, making the interactions classically marginal. This enables us to map the problem of 2+1-dimensional Dirac fermions in a finite transverse magnetic field, interacting via a strong Coulomb interaction, into a perturbatively controlled model. We analyze the resulting low-energy theory using the renormalization group and determine the nature of the BCS interaction in the emergent composite Fermi liquid.-
dc.descriptionFil: Kachru, Shamit. University of Stanford; Estados Unidos. Stanford Linear Accelerator Center; Estados Unidos-
dc.descriptionFil: Mulligan, Michael. University of Stanford; Estados Unidos-
dc.descriptionFil: Torroba, Gonzalo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina-
dc.descriptionFil: Wang, Huajia. University of Stanford; Estados Unidos-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherAmerican Physical Society-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1103/PhysRevB.92.235105-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.235105-
dc.rightsinfo:eu-repo/semantics/openAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectFractional Quantum Hall Effect-
dc.subjectSupersymmetry-
dc.subjectDuality-
dc.subjectMirror Symmetry-
dc.subjectAstronomía-
dc.subjectCiencias Físicas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleMirror symmetry and the half-filled Landau level-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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