Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice

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dc.citation.articleNumber125101en_US
dc.citation.issueNumber12en_US
dc.citation.journalTitlePhysical Review Ben_US
dc.citation.volumeNumber96en_US
dc.contributor.authorLiu, Chia-Chuanen_US
dc.contributor.authorGoswami, Pallaben_US
dc.contributor.authorSi, Qimiaoen_US
dc.date.accessioned2017-10-27T13:26:31Zen_US
dc.date.available2017-10-27T13:26:31Zen_US
dc.date.issued2017en_US
dc.description.abstractDue to the interaction between the topological defects of an order parameter and underlying fermions, the defects can possess induced fermion numbers, leading to several exotic phenomena of fundamental importance to both condensed matter and high-energy physics. One of the intriguing outcomes of induced fermion numbers is the presence of fluctuating competing orders inside the core of a topological defect. In this regard, the interaction between fermions and skyrmion excitations of an antiferromagnetic phase can have important consequences for understanding the global phase diagrams of many condensed matter systems where antiferromagnetism and several singlet orders compete. We critically investigate the relation between fluctuating competing orders and skyrmion excitations of the antiferromagnetic insulating phase of a half-filled Kondo-Heisenberg model on a honeycomb lattice. By combining analytical and numerical methods, we obtain the exact eigenstates of underlying Dirac fermions in the presence of a single skyrmion configuration, which are used for computing the induced chiral charge. Additionally, by employing this nonperturbative eigenbasis, we calculate the susceptibilities of different translational symmetry breaking charges, bond and current density wave orders, and translational symmetry preserving Kondo singlet formations. Based on the computed susceptibilities, we establish spin Peierls and Kondo singlets as dominant competing orders of antiferromagnetism. We show favorable agreement between our findings and field theoretic predictions based on the perturbative gradient expansion scheme, which crucially relies on the adiabatic principle and plane-wave eigenstates for Dirac fermions. The methodology developed here can be applied to many other correlated systems supporting competition between spin-triplet and spin-singlet orders in both lower and higher spatial dimensions.en_US
dc.identifier.citationLiu, Chia-Chuan, Goswami, Pallab and Si, Qimiao. "Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice." <i>Physical Review B,</i> 96, no. 12 (2017) American Physical Society: https://doi.org/10.1103/PhysRevB.96.125101.en_US
dc.identifier.digitalSkyrmion_defectsen_US
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.96.125101en_US
dc.identifier.urihttps://hdl.handle.net/1911/97814en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.titleSkyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb latticeen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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