Characterization of a quantum phase transition in Dirac systems by means of the wavepacket dynamics

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URI: http://hdl.handle.net/10481/32293
ISSN: 2158-3226
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Author
Romera Gutiérrez, Elvira; Torres, J. J.
Editorial
AIP Publishing
Materia
Dirac systems
 
Wave-packets
 
Fractional revivals
 
Graphene
 
Date
2012
Referencia bibliográfica
Romera, E.; Torres, J.J. Characterization of a quantum phase transition in Dirac systems by means of the wavepacket dynamics. AIP Advances, 2: 042121 (2012). [http://hdl.handle.net/10481/32293]
Sponsorship
This work was supported by Spanish MICINN projects FIS2011-24149 and FIS2009-08451, CEI BioTic UGR project 20F12.41 and Junta de Andalucia projects FQM-165/0207 and FQM219.
Abstract
We study the signatures of phase transitions in the time evolution of wave-packets by analyzing two simple model systems: a graphenequantum dot model in a magnetic field and a Diracoscillator in a magnetic field. We have characterized the phase transitions using the autocorrelation function. Our work also reveals that the description in terms of Shannon entropy of the autocorrelation function is a clear phase transition indicator.
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