Show simple item record

dc.contributor.advisorDatta, Trinanjanen
dc.contributor.authorPrice, Alexander
dc.contributor.authorJavernick, Philip
dc.date.accessioned2016-03-17T19:13:14Zen
dc.date.available2016-03-17T19:13:14Zen
dc.date.issued2016-03en
dc.identifier.urihttp://hdl.handle.net/10675.2/602120en
dc.descriptionPresentation given at the 17th Annual Phi Kappa Phi Student Research and Fine Arts Conferenceen
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.
dc.language.isoen_USen
dc.subjectSpin Wave Theoryen
dc.subjectHeisenberg Modelen
dc.titleSpin Wave Feynman Diagram Vertex Computation Packageen_US
dc.typePresentationen
dc.contributor.departmentDepartment of Chemistry and Physics; Department of Physics and Astronomyen
html.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.


This item appears in the following Collection(s)

Show simple item record