Journal
PHYSICAL REVIEW B
Volume 79, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.79.035113
Keywords
carrier mobility; hopping conduction; small polaron conduction
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We derive an effective cluster model to address the transport properties of mutually interacting small polarons. We propose a decoupling scheme where the hopping dynamics of any given particle is determined by separating out explicitly the degrees of freedom of its environment, which are treated as a statistical bath. The general cavity method developed here shows that the long-range Coulomb repulsion between the carriers leads to a net increase in the thermal activation barrier for electrical transport and hence to a sizable reduction in the carrier mobility. A mean-field calculation of this effect is provided based on the known correlation functions of the interacting liquid in two and three dimensions. The present theory gives a natural explanation of recent experiments performed in organic field-effect transistors with highly polarizable gate dielectrics and might well find application in other classes of polaronic systems such as doped transition-metal oxides.
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