Characterization of a quantum phase transition in Dirac systems by means of the wavepacket dynamics
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Dirac systemsWave-packetsFractional revivalsGraphene
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]
SponsorshipThis 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.
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.