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      <item>
        <name>
          <family>Avalishvili</family>
          <given>Nikoloz</given>
        </name>
      </item>
      <item>
        <name>
          <family>Japaridze</family>
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    <title>Magnetic phase diagram of a spin antiferromagnetic S=1/2 
ladder with alternating rung exchange and dimerized legs
</title>
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    <abstract>We study the effect of leg dimerization on the ground-state magnetic phase diagram of a two-leg spin  ladder with alternating rung exchange. We consider two possible patterns for dimmers distribution along the legs corresponding to the checkerboard and columnar structure. We study the system in the limit of strong rung exchange and magnetic field and. map the model onto the effective spin   chain model and study the latter using the continuum-limit bosonization approach. We identified four quantum phase transitions  and corresponding critical magnetic fields, which mark transitions from the spin gapped regimes into the gapless quantum spin-liquid regimes. In the gapped phases the magnetization curve of the system shows plateaus at magnetizations equal to zero, its saturation value   and  at  .  We show that in  the case of checkerboard structure the intra-leg dimerization has no effect on the ground state properties of the system, while the columnar pattern leads to renormalization of the critical fields, in particular  to extension of the  gapped phases  and respectively of the magnetization plateaus.  </abstract>
    <date>2012</date>
    <publication>Nano Studies</publication>
    <volume>6</volume>
    <publisher>L. Chkhartishvili</publisher>
    <pagerange>85-92</pagerange>
    <refereed>FALSE</refereed>
    <issn>1987 - 8826</issn>
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