Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites

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I. A. Sergienko and E. Dagotto
Condensed Matter Sciences Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
and Department of Physics, The University of Tennessee, Knoxville, Tennessee 37996, USA

Received 2 August 2005; published 23 March 2006

Withthe perovskite multiferroic RMnO₃ (R=Gd,Tb,Dy) as guidance, we argue thatthe Dzyaloshinskii-Moriya interaction (DMI) provides the microscopic mechanism for thecoexistence and strong coupling between ferroelectricity and incommensurate magnetism. Weuse Monte Carlo simulations and zero-temperature exact calculations to studya model incorporating the double-exchange, superexchange, Jahn-Teller, and DMI terms.The phase diagram contains a multiferroic phase between A andE antiferromagnetic phases, in excellent agreement with experiments.

URL:	http://link.aps.org/doi/10.1103/PhysRevB.73.094434
DOI:	10.1103/PhysRevB.73.094434
PACS:	75.80.+q; 64.70.Rh; 75.30.Kz; 77.80.-e 75.80.+q Magnetomechanical and magnetoelectric effects, magnetostriction 64.70.Rh Commensurate–incommensurate transitions 75.30.Kz Magnetic phase boundaries including magnetic transitions, metamagnetism, etc 77.80.-e Ferroelectricity and antiferroelectricity YEAR: 2006
KEYWORDS:	multiferroics, Monte Carlo methods, ferroelectric materials, exchange interactions (electron), Jahn-Teller effect, commensurate-incommensurate transformations, antiferromagnetic materials, gadolinium compounds, terbium compounds, dysprosium compounds

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