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PHYS07200604007 Manas Kumar Dala - Homi Bhabha National ...

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Electronic Structure of Pr 0.67 Ca 0.33 MnO 3 60<br />

3.1 Introduction<br />

Recently, a lot of attention have been focused on the charge-ordered compositions of<br />

Pr 1−x Ca x MnO 3 due to their importance as possible prototypes for the electronic phase<br />

separation (PS) models [1, 2, 3, 4, 5, 6, 7, 8, 9] proposed to explain the phenomenon<br />

of colossal magnetoresistance (CMR). The PS models are qualitatively different from<br />

the double-exchange model [10, 11, 12] or those based on strong Jahn-Teller polarons<br />

[13, 14]. According to the PS model the ground state of CMR materials is comprised<br />

of coexisting nanosize clusters of metallic ferromagnetic and insulating antiferromagnetic<br />

nature [6]. The insulator-metal transition in this scenario is through current<br />

percolation. Though there have been a number of experimental studies showing the<br />

existence of phase separation, their size varies from nano- to mesoscopic scales [8, 9].<br />

Radaelli et al. have shown the origin of mesoscopic phase separation to be the intergranular<br />

strain [9] rather than the electronic nature as in PS models. Nanosized<br />

stripes of a ferromagnetic phase [15] were reported in Pr 0.67 Ca 0.33 MnO 3 . This compound<br />

also attracted much attention earlier due to the existence of a nearly degenerate<br />

ferromagnetic metallic state and a charge-ordered antiferromagnetic insulating state<br />

with a field-induced phase transition possible between them [16]. With slight variations<br />

in the Ca doping the Pr 1−x Ca x MnO 3 system turns ferromagnetic (x=0.2) or<br />

antiferromagnetic (x=0.4) at low temperatures [17, 15]. The composition x=0.33<br />

shows a coexistence of ferromagnetic and antiferromagnetic phases [18]. This makes<br />

the charge- or orbital-ordered Pr 0.67 Ca 0.33 MnO 3 a prototype for the PS scenario.<br />

One of the requisites for the existence of an electronic phase separation in manganites<br />

is a strong-coupling interaction affecting the hopping of the itinerant e g electrons.<br />

The PS is expected to occur [5] when J H /t ≫ 1, where J H is the Hund’s coupling<br />

contribution between the localized t 2g and the e g electrons and t is the hopping amplitude<br />

of the e g electrons. The PS also favors a strong electron-phonon coupling,<br />

like the influence of a strong Jahn-Teller (JT) polaron arising from the Q 2 and Q 3<br />

JT modes. Essentially, one expects a strong localization of charge carriers to accompany<br />

the electronic separation of phases. Apart from charge, the orbital degrees of<br />

freedom also play an important role in this scenario [5]. The itinerant electron hopping<br />

term is strongly influenced by the symmetry of the orbitals (d x 2 −y 2 and d 3z 2 −r 2)<br />

hybridized with the O 2p orbitals of the MnO 6 octahedra. In comparison with the<br />

most popular CMR material La 1−x Sr x MnO 3 , the charge-ordered Pr system has an<br />

inherently reduced e g bandwidth W due to the smaller ionic radius of Pr, which also

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