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Master's Dissertation
DOI
https://doi.org/10.11606/D.54.1987.tde-25032015-100952
Document
Author
Full name
Deborah Brasil Balbao
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 1987
Supervisor
Committee
Felicio, Jose Roberto Drugowich de (President)
F.stilck, Jurgen
Onody, Roberto Nicolau
Title in Portuguese
Efeitos de condição de contorno sobre o espectro da cadeia quântica de Blume-Capel
Keywords in Portuguese
Não disponível
Abstract in Portuguese
Nesse trabalho nós apresentamos o estudo numérico do espectro da cadeia quântica de Blume-Capel no ponto tricrítico (aquele que separa as linhas de transição de primeira e segunda ordem). Os resultados obtidos foram comparados com as previsões da invariância conforme que permitiram construir o espectro a partir da combinação das dimensões de escala associadas aos operadores da teoria. O parâmetro que caracteriza as classes de universalidade, chamado número de anomalia conforme foi calculado através das correções à energia do estado fundamental de cadeias finitas. Finalmente várias condições de contorno foram utilizadas para investigar a associação entre os operadores e suas dimensões, bem como para calcular os expoentes críticos das funções de correlação na superfície
Title in English
Not available
Keywords in English
Not available
Abstract in English
We calculated the conformal anomaly number of the Blume-Capel quantum chain via finite-size corrections to the ground-state energy. In addition we compute, at the tricritical point, the lowest excitations of the spectrum to be compared with the theoretical description in terms of the irreducible representations of the corresponding Virasoro Algebra. Several boundary conditions are analyzed. In particular, surface exponents are obtained by using free boundary conditions
 
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Publishing Date
2015-03-25
 
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