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dc.contributor.authorLiu, Chia-Chuan
Goswami, Pallab
Si, Qimiao
dc.date.accessioned 2017-10-27T13:26:31Z
dc.date.available 2017-10-27T13:26:31Z
dc.date.issued 2017
dc.identifier.citation Liu, 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." Physical Review B, 96, no. 12 (2017) American Physical Society: https://doi.org/10.1103/PhysRevB.96.125101.
dc.identifier.urihttps://hdl.handle.net/1911/97814
dc.description.abstract Due 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.
dc.language.iso eng
dc.publisher American Physical Society
dc.rights Article 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.
dc.title Skyrmion defects and competing singlet orders in a half-filled antiferromagnetic Kondo-Heisenberg model on the honeycomb lattice
dc.type Journal article
dc.citation.journalTitle Physical Review B
dc.citation.volumeNumber 96
dc.citation.issueNumber 12
dc.identifier.digital Skyrmion_defects
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1103/PhysRevB.96.125101
dc.type.publication publisher version
dc.citation.articleNumber 125101


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