A Real Space Description of Magnetic Field Induced Melting in the Charge Ordered Manganites: I. The Clean Limit

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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16 pages, pdflatex, 11 png figs

Scientific paper

We study the melting of charge order in the half doped manganites using a model that incorporates double exchange, antiferromagnetic superexchange, and Jahn-Teller coupling between electrons and phonons. We primarily use a real space Monte Carlo technique to study the phase diagram in terms of applied field $(h)$ and temperature $(T)$, exploring the melting of charge order with increasing $h$ and its recovery on decreasing $h$. We observe hysteresis in this response, discover that the `field melted' high conductance state can be spatially inhomogeneous even in the absence of extrinsic disorder and find that the hysteretic response plays out in the background of a curious equilibrium physics of the melting transition. Our extensive numerical work, exploring $h$, $T$, and the electronic parameter space, is backed up by discussion of simpler limiting cases, and a Landau framework for explaining the hysteresis and field induced transitions. We compare our results in detail to experimental data on the half doped manganites. This paper focuses on our results in the `clean' systems, a companion paper studies the effect of cation disorder on the melting phenomena.

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