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Millis, A. J.; Shraiman, Boris I.; Mueller, R. O.

doi:10.1103/physrevlett.77.175

Cited by 1,382 publications

(560 citation statements)

References 12 publications

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“…The magnetic field dependence of this transition is also in good accord with experiments [18,20]. Thus our work, which complements other theoretical studies [39][40][41][42][43], elucidates the nature of charge ordering in CMR manganites. A complete theory of these materials must, of course, integrate these effects with those caused by electronphonon interactions, disorder, and orbital ordering.…”

Section: Resultssupporting

confidence: 78%

Mean-field theory of charge ordering and phase transitions in the colossal-magnetoresistive manganites

Mishra

Pandit

Satpathy

1999

J. Phys.: Condens. Matter

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Abstract. We study phase transitions in the colossal-magnetoresistive manganites by using a mean-field theory both at zero and non-zero temperatures. Our Hamiltonian includes doubleexchange, superexchange, and Hubbard terms with on-site and nearest-neighbour Coulomb interaction, with the parameters estimated from earlier density-functional calculations. The phase diagrams show magnetic and charge-ordered (or charge-disordered) phases as a result of the competition between the double-exchange, superexchange, and Hubbard terms, the relative effects of which are sensitively dependent on parameters such as doping, bandwidth, and temperature. In accord with the experimental observations, several important features are reproduced from our model, namely, (i) a phase transition from an insulating, charge-ordered antiferromagnetic to a metallic, charge-disordered ferromagnetic state near dopant concentration x = 1/2, (ii) the reduction of the transition temperature T AF→F by the application of a magnetic field, (iii) melting of the charge order by a magnetic field, and (iv) phase coexistence for certain values of temperature and doping. An important feature, not reproduced in our model, is the antiferromagnetism in the electron-doped systems, e.g., La 1−x Ca x MnO 3 over the entire range of 0.5 x 1, and we suggest that a multi-band model which includes the unoccupied t 2g orbitals might be an important ingredient for describing this feature.

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Section: Resultssupporting

confidence: 78%

Mean-field theory of charge ordering and phase transitions in the colossal-magnetoresistive manganites

Mishra

Pandit

Satpathy

1999

J. Phys.: Condens. Matter

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“…The CM R mechanism itself is straightforward, but what is unusual is the very existence of the "metal-insulator" transition at T C . It has been proposed that the resistivity increases because of competition between double-exchange and Jahn-Teller interactions [8,9]. The former favors ferro magnetism and an undistorted lattice and wins below T C .…”

mentioning

confidence: 99%

“…One possibility is that the magnitude of lattice d istortions is larger in co mpounds with the bigger resistivity ju mp as proposed in Refs. [9,15]. In this approach, the differences in magnitudes of magnetoresistance between different co mpounds can be explained by competition between the intersite hopping matrix element, t, of electrons and the strength of electron-phonon Jahn-Teller coupling, , which is responsible for different values of 2 in different compounds.…”

mentioning

confidence: 99%

“…The former favors ferro magnetism and an undistorted lattice and wins below T C . The latter favors polaronic lattice distortions and paramagnetism or antiferro magnetism and wins above T C [9]. Theoretical models make the appro ximation that only local lattice distortions are important [9], and the resistivity scales with 2 , the mean square displacement of o xygen atoms fro m the average periodic position.…”

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confidence: 99%

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Large lattice distortions associated with the magnetic transition in La0.7Sr0.3MnO3
Weber
¹
,
Argyriou
²
,
Prokhnenko
³

et al. 2013
Phys. Rev. B
9
2
7
0
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Col ossal magnetoresistance (CMR) is associated with the phase transition from a metallic ferromagnetic to insulating paramag netic phase, which can be controlled by an applied magnetic fiel d. The insulating phase occurs due to trapping of the charge carriers by polaronic lattice distortions, which raise the resistivity. Theories based on local physics predict that the magnitude of the resistivity jump at T c is determined by how much, on average, the amplitude of these distorti ons increases at the phase transition. Using neutron scattering, we measured the average distortion amplitude in La 0.7 Sr 0.3 MnO 3 . Surprisingly, its increase from below to above T c is just as large as in other mang anites, which have a much l arger resistivity jump. This result suggests that the strength of CMR is determined not by the size of distortions, but by their cooperati ve nature s pecific to each compound. Existing theories need to be extended to include correlations between different unit cells to explain and predict the strength of CMR. Manganese perovskite o xides have a rich temperaturedoping phase diagram spanning a wide range of physical phenomena of both practical and fundamental interest such as metal-insulator transitions, colossal magnetoresistance, mu ltiferro icity, polaron format ion etc. Th is behavior is driven by strong coupling between magnetic, orbital, charge, and atomic lattice degrees of freedo m with ordering in one channel having a strong, often transformational effect on the other. Electron-phonon coupling through the Jahn-Teller effect plays a special role by tying electronic orb ital states to the atomic latt ice whose deformat ions trap charge carriers and thus raise the electrical resistivity. In half-doped manganites the Jahn-Teller effect leads to CE order characterized by very large resistivity, which then drops by several orders of magnitude when the CE order melts at elevated temperatures. At lower doping Jahn-Teller d istortions become frustrated: A distortion in one unit cell interferes with the distortion in the neighboring unit cells and long range CE order cannot form. This part of the phase diagram is famous for its outstandingly large (colossal) magnetoresistance (CM R) [6] , [7]. CM R occurs due to the ferro magnetic transition accompanied by a large resistivity change. The resistivity is metallic-like at temperatures, T, less than the ferro magnetic t ransition temperature, T C , i.e. it is relatively low and increases with T, whereas at T > T C it is very large and typically decreases with T. Due to h igh sensitivity of T C to the applied magnetic field, resistivity changes dramat ically as a function of field in the vicinity of T C . The CM R mechanism itself is straightforward, but what is unusual is the very existence of the "metal-insulator" transition at T C . It has been proposed that the resistivity increases because of competition between double-exchange and Jahn-Teller interactions [8,9]. The former favors ferro magnetism and an undistorted lattice and wins below T C . T...

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“…Extensive investigations have revealed that the origin of CMR cannot be fully described by double-exchange interaction alone [1,2,3] although it partly explains some aspects of CMR in manganites with wide bandwidth. Competing interactions against double exchange, such as Jahn-Teller interaction or charge/orbital-ordering correlation, also play an important role in some novel properties such as CMR in manganites with narrow bandwidth or reduced dimensionality as presented here [4,5,6]. Recent studies of diffuse x-ray or inelas- * Tel.…”

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confidence: 99%

Transient differential reflectivity of ferromagnetic and paramagnetic phases in the bilayered manganite La1.24Sr1.76Mn2O7

Hirobe

Kubo

Kouyama

et al. 2005

Solid State Communications

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Dynamic Jahn-Teller Effect and Colossal Magnetoresistance inLa1−xSrxMnO

Cited by 1,382 publications

References 12 publications

Mean-field theory of charge ordering and phase transitions in the colossal-magnetoresistive manganites

Mean-field theory of charge ordering and phase transitions in the colossal-magnetoresistive manganites

Large lattice distortions associated with the magnetic transition in La0.7Sr0.3MnO3
Weber
¹
,
Argyriou
²
,
Prokhnenko
³

et al. 2013
Phys. Rev. B
9
2
7
0
View full text Add to dashboard Cite

Transient differential reflectivity of ferromagnetic and paramagnetic phases in the bilayered manganite La1.24Sr1.76Mn2O7

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Dynamic Jahn-Teller Effect and Colossal Magnetoresistance inLa1−xSrxMnO

Cited by 1,382 publications

References 12 publications

Mean-field theory of charge ordering and phase transitions in the colossal-magnetoresistive manganites

Mean-field theory of charge ordering and phase transitions in the colossal-magnetoresistive manganites

Large lattice distortions associated with the magnetic transition in La0.7Sr0.3MnO3Weber1, Argyriou2, Prokhnenko3 et al. 2013Phys. Rev. B9270View full textAdd to dashboardCite

Transient differential reflectivity of ferromagnetic and paramagnetic phases in the bilayered manganite La1.24Sr1.76Mn2O7

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Product

Resources

About

Large lattice distortions associated with the magnetic transition in La0.7Sr0.3MnO3
Weber
¹
,
Argyriou
²
,
Prokhnenko
³

et al. 2013
Phys. Rev. B
9
2
7
0
View full text Add to dashboard Cite