On the magnetism of Ln2/3Cu3Ti4O12 (Ln = lanthanide)

被引:28
作者
Dittl, A. [1 ]
Krohns, S. [1 ]
Sebald, J. [1 ]
Schrettle, F. [1 ]
Hemmida, M. [1 ]
von Nidda, H. -A. Krug [1 ]
Riegg, S. [1 ]
Reller, A.
Ebbinghaus, S. G. [2 ]
Loidl, A. [1 ]
机构
[1] Univ Augsburg, Ctr Elect Correlat & Magnetism, D-86135 Augsburg, Germany
[2] Univ Halle Wittenberg, D-06120 Halle, Germany
关键词
COLOSSAL DIELECTRIC-CONSTANTS; CACU3TI4O12; TRANSITION; ACU(3)TI(4)O(12);
D O I
10.1140/epjb/e2010-10796-1
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
The authors discuss one type of general forward-backward stochastic differential equations (FBSDEs) with It's stochastic delayed equations as the forward equations and anticipated backward stochastic differential equations as the backward equations. The existence and uniqueness results of the general FBSDEs are obtained. In the framework of the general FBSDEs in this paper, the explicit form of the optimal control for linearquadratic stochastic optimal control problem with delay and the Nash equilibrium point for nonzero sum differential games problem with delay are obtained.
引用
收藏
页码:391 / 400
页数:10
相关论文
共 30 条
[1]  
Abragam A., 1970, ELECT PARAMAGNETIC R
[2]   SYNTHESIS AND CHARACTERIZATION OF SERIES OF ISOTYPE PEROVSKITE TITANATES OF (CACU3) (MN4)O12 [J].
BOCHU, B ;
DESCHIZEAUX, MN ;
JOUBERT, JC ;
COLLOMB, A ;
CHENAVAS, J ;
MAREZIO, M .
JOURNAL OF SOLID STATE CHEMISTRY, 1979, 29 (02) :291-298
[3]   Temperature dependence of electron spin resonance in CaCu3Ti4O12 substituted with transition metal elements [J].
Brize, Virginie ;
Autret-Lambert, Cecile ;
Wolfman, Jerome ;
Gervais, Monique ;
Simon, Patrick ;
Gervais, Francois .
SOLID STATE SCIENCES, 2009, 11 (04) :875-880
[4]   Quantum Criticality in Transition-Metal Oxides [J].
Buettgen, N. ;
von Nidda, H. -A. Krug ;
Kraetschmer, W. ;
Guenther, A. ;
Widmann, S. ;
Riegg, S. ;
Krimmel, A. ;
Loidl, A. .
JOURNAL OF LOW TEMPERATURE PHYSICS, 2010, 161 (1-2) :148-166
[5]  
DESCHANVRES A, 1967, B SOC CHIM FR, P4077
[6]   Dielectric and magnetic properties of Fe- and Nb-doped CaCu3Ti4O12 -: art. no. 104111 [J].
Grubbs, RK ;
Venturini, EL ;
Clem, PG ;
Richardson, JJ ;
Tuttle, BA ;
Samara, GA .
PHYSICAL REVIEW B, 2005, 72 (10)
[7]   Multiferroic phases of Eu1-xYxMnO3 [J].
Hemberger, J. ;
Schrettle, F. ;
Pimenov, A. ;
Lunkenheimer, P. ;
Ivanov, V. Yu. ;
Mukhin, A. A. ;
Balbashov, A. M. ;
Loidl, A. .
PHYSICAL REVIEW B, 2007, 75 (03)
[8]   Optical response of high-dielectric-constant perovskite-related oxide [J].
Homes, CC ;
Vogt, T ;
Shapiro, SM ;
Wakimoto, S ;
Ramirez, AP .
SCIENCE, 2001, 293 (5530) :673-676
[9]   Neutron scattering study of antiferromagnetic order in CaCu3Ti4O12 [J].
Kim, YJ ;
Wakimoto, S ;
Shapiro, SM ;
Gehring, PM ;
Ramirez, AP .
SOLID STATE COMMUNICATIONS, 2002, 121 (11) :625-629
[10]   A novel heavy-fermion state in CaCu3Ru4O12 [J].
Kobayashi, W ;
Terasaki, I ;
Takeya, J ;
Tsukada, I ;
Ando, Y .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2004, 73 (09) :2373-2376