Hdl Handle:
http://hdl.handle.net/10675.2/604241
Title:
Spin wave Feynman diagram vertex computation package
Authors:
Price, Alexander; Javernick, Philip; Datta, Trinanjan
Abstract:
Spin wave theory is a well-established theoretical technique that can correctly predict the physical behavior of ordered magnetic states. However, computing the effects of an interacting spin wave theory incorporating magnons involve a laborious by hand derivation of Feynman diagram vertices. The process is tedious and time consuming. Hence, to improve productivity and have another means to check the analytical calculations, we have devised a Feynman Diagram Vertex Computation package. In this talk, we will describe our research group’s effort to implement a Mathematica based symbolic Feynman diagram vertex computation package that computes spin wave vertices. Utilizing the non-commutative algebra package NCAlgebra as an add-on to Mathematica, symbolic expressions for the Feynman diagram vertices of a Heisenberg quantum antiferromagnet are obtained. Our existing code reproduces the well-known expressions of a nearest neighbor square lattice Heisenberg model. We also discuss the case of a triangular lattice Heisenberg model where non collinear terms contribute to the vertex interactions.
Affiliation:
Department of Chemistry and Physics
Issue Date:
14-Mar-2016
URI:
http://hdl.handle.net/10675.2/604241
Additional Links:
http://absimage.aps.org/image/MAR16/MWS_MAR16-2015-002069.pdf
Type:
Presentation
Language:
en_US
Description:
Presentation given at the American Physical Society March Meeting 2016 on Monday, March 14, 2016
Appears in Collections:
Department of Chemistry and Physics: Student Research and Presentations

Full metadata record

DC FieldValue Language
dc.contributor.authorPrice, Alexanderen
dc.contributor.authorJavernick, Philipen
dc.contributor.authorDatta, Trinanjanen
dc.date.accessioned2016-04-01T17:54:04Zen
dc.date.available2016-04-01T17:54:04Zen
dc.date.issued2016-03-14en
dc.identifier.urihttp://hdl.handle.net/10675.2/604241en
dc.descriptionPresentation given at the American Physical Society March Meeting 2016 on Monday, March 14, 2016en
dc.description.abstractSpin wave theory is a well-established theoretical technique that can correctly predict the physical behavior of ordered magnetic states. However, computing the effects of an interacting spin wave theory incorporating magnons involve a laborious by hand derivation of Feynman diagram vertices. The process is tedious and time consuming. Hence, to improve productivity and have another means to check the analytical calculations, we have devised a Feynman Diagram Vertex Computation package. In this talk, we will describe our research group’s effort to implement a Mathematica based symbolic Feynman diagram vertex computation package that computes spin wave vertices. Utilizing the non-commutative algebra package NCAlgebra as an add-on to Mathematica, symbolic expressions for the Feynman diagram vertices of a Heisenberg quantum antiferromagnet are obtained. Our existing code reproduces the well-known expressions of a nearest neighbor square lattice Heisenberg model. We also discuss the case of a triangular lattice Heisenberg model where non collinear terms contribute to the vertex interactions.en
dc.language.isoen_USen
dc.relation.urlhttp://absimage.aps.org/image/MAR16/MWS_MAR16-2015-002069.pdfen
dc.subjectSpin Wave Theoryen
dc.subjectFeynman Diagramen
dc.subjectHeisenberg Modelen
dc.titleSpin wave Feynman diagram vertex computation packageen_US
dc.typePresentationen
dc.contributor.departmentDepartment of Chemistry and Physicsen
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