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        <name>
          <family>Avalishvili</family>
          <given>N</given>
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      <item>
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          <family>Japaridze</family>
          <given>G.I.</given>
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        <id>gia_japaridze@iliauni.edu.ge</id>
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          <family>Nozadze</family>
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    <title>Magnetization plateau in the spin S=1/2 two-leg ladder with 
trimer modulation of the rung-exchange
</title>
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    <abstract>The ground-state magnetic phase diagram of a two-leg spin ladder with trimerized modulated rung exchange  is studied using the continuum-limit bosonization approach. In the limit where the rung exchange is dominant, the model is mapped onto the effective quantum sine-Gordon model with topological term.  Six quantum phase transitions at different critical magnetic fields are identified. We have shown that the magnetization curve of the system exhibits two plateaus at magnetization equal to the 1/3 and 2/3 of the saturation value. The width of the plateaus, is proportional to the excitation gap at given magnetization and scales as  , where   is the amplitude of  rung-exchange modulation and the critical exponent is obtained as   in the case of a ladder with antiferromagnetic  legs  and   in the case of ladder with ferromagnetic legs. </abstract>
    <date>2012</date>
    <date_type>submitted</date_type>
    <publication>Bulletin of the Georgian National Academy of Sciences</publication>
    <volume>6</volume>
    <number>2</number>
    <publisher>საქართველოს მეცნიერებათა ეროვნული აკადემია</publisher>
    <pagerange>53-60</pagerange>
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