Short-range spin and charge correlations and local density of states in the colossal magnetoresistance regime of the single-orbital model for manganites

Physical Review B - Condensed Matter and Materials Physics

Volumn 77, Issue 21, 2008, Pages

  Yu, Rong ^a,b   Dong, Shuai ^a,b,c   Şen, Cengiz ^d   Alvarez, Gonzalo ^b   Dagotto, Elbio ^a,b  

^a UNIVERSITY OF TENNESSEE   (United States)

^b OAK RIDGE NATIONAL LABORATORY   (United States)

^c NANJING UNIVERSITY   (China)

^d UNIVERSITY OF CINCINNATI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 46049096084     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.77.214434     Document Type: Article

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47. In this work we exclusively work within 2D although a three-dimensional (3D) system is closer to the real material. It is true that there is no finite temperature phase transition in 2D systems in the thermodynamic limit. However, for the finite systems we studied in this work, when lowering the temperature, the correlation length increases and can be much larger than the system size. Then one does see phenomena similar to a phase transition in the finite system. Previous studies have already shown that both 2D and 3D finite systems give similar behavior in the CMR regime. See Refs. and references therein. Based on these arguments, we find that working in 2D reduces a lot of computational effort without changing the physical picture in the CMR regime.
48. Further increasing the value of JAF, a charge disordered G-type antiferromagnetic (AFM) state definitely appears as the ground state. However, the AF/CO state [illustrated in Fig. 1] appears as the groundstate at intermediate JAF values, as shown in Fig. 1 of Ref.. The G-type AFM state is then not the state competing with the FM state to give the CMR effect. It is irrelevant to the CMR effect discussed throughout this paper. Therefore, we will not discuss this G-type AFM state and focus only on the competiting FM and AF/CO states in this paper.
49. According to Ref., the transition should turn into first order when the strength of quenched disorder exceeds a certain critical value. In future work, it will be interesting to study the MI transition in the model with quenched disorder and numerically check the validity of this analytical claim.
50. In practice, hole sites are defined as sites with the lowest (1-n) L2 local densities of states at each MC step, where n is the number of electrons in a L×L system.
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58. The simulation is performed at T/t=0.01 with JAF =0.0325 and λ=1.2, where a metallic FM state is finally stabilized. However, in this simulation the initial configuration is prepared by taking the final configuration of another long MC simulation in the AF/CO state (with JAF =0.05, λ=1.2, and T/t=0.01).
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