Аннотация: Local and fast structural probes using synchrotron radiation have shown nanoscale striped puddles and nanoscale phase separation in doped perovskites. It is known that the striped phases in doped perovskites are due to competing interactions involving charge, spin, and lattice degrees of freedom. In this work, we show that two different stripes can be represented as a superposition of a pair of stripes, U(theta(n)) or D(theta(n)), characterized by perovskite tilts where one of the pair is rotated in relation to the other partner by an angle Delta theta(n) = pi/2. The spatial distribution of the U and D stripes is reduced to all possible maps in the well-known mathematical four-color theorem. Both the periodic striped puddles and random structures can be represented by using planar graphs with a chromatic numbers chi
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Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, KSC Siberian Branch, Fed Res Ctr, Krasnoyarsk 660036, Russia.
Russian Acad Sci, Siberian Branch, Inst Computat Modeling, Krasnoyarsk 660036, Russia.
Rome Int Ctr Mat Sci Superstripes RICMASS, Via Sabelli 119A, I-00185 Rome, Italy.
CNR, Inst Cristallog, I-00015 Monterotondo, Italy.
Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Moscow 115409, Russia.
Доп.точки доступа:
Gavrichkov, Vladimir A.; Shan'ko, Yury; Zamkova, Natalia G.; Bianconi, Antonio; RFBR [18-42-240017]; Government of the Krasnoyarsk Region [18-42-240017]; Krasnoyarsk Regional Fund of Science [18-42-240017]