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Quantum phase transition in a dimerized chain with hexameric distortion
Author(s) -
Naseri Mahboobeh Shahri,
Japaridze George I.,
Mahdavifar Saeed,
Shayesteh Saber Farjami
Publication year - 2013
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201248101
Subject(s) - bosonization , phase diagram , dimer , physics , parameter space , limit (mathematics) , condensed matter physics , spin (aerodynamics) , quantum , gapless playback , distortion (music) , chain (unit) , quantum phase transition , critical line , quantum mechanics , phase transition , phase (matter) , mathematics , mathematical analysis , fermion , thermodynamics , amplifier , statistics , optoelectronics , cmos , nuclear magnetic resonance
Abstract We consider the dimerized spin‐1/2 Heisenberg chain with spin hexameric distortion of the exchange pattern and study the zero‐temperature phase diagram in the parameter space ( J 1 , J 2 , J 3 ) by a continuum‐limit bosonization approach and the exact diagonalization method. The phase diagram is rich and has two gapped dimer phases. We obtain an estimate of the critical line separating the different gapped dimer phases by the bosonization approach. The existence of the transition line and the difference between dimer phases is checked numerically. The behavior of the energy gap and the dimer order parameter supports the exact location of the gapless line.