Phase diagrams of random spin systems. I. Mean-field theory

Sarbach, S.

doi:10.1088/0022-3719/13/26/021

Cited by 22 publications

(6 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To study the critical phenomena in quenched random spin systems, Sarbach [10] established a method based on evaluating the mean-field free energy. He applied the replica method (RM) to Ising simple cubic systems with quenched random interactions.…”

Section: Theory and Resultsmentioning

confidence: 99%

“…Then, s i 0 such as df=ds i 0 are the parameters one needs to characterise the magnetic phase diagram [10]. where q T (s i , i 1, 2. .…”

Section: Theory and Resultsmentioning

confidence: 99%

“…In short, we have estimated the phase diagrams of the three-dimensional spinel Bsite lattice with two types of dilutions by means of the Sarbach method [10]. The results Spin Glass and Percolation Behaviour on Chromium Spinels 387 Fig.…”

Section: Theory and Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Spin Glass and Percolation Behaviour on Chromium Spinels

Afif¹,

Benyoussef²,

Hamedoun³

et al. 2000

phys. stat. sol. (b)

View full text Add to dashboard Cite

Section: Theory and Resultsmentioning

confidence: 99%

“…Then, s i 0 such as df=ds i 0 are the parameters one needs to characterise the magnetic phase diagram [10]. where q T (s i , i 1, 2. .…”

Section: Theory and Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Spin Glass and Percolation Behaviour on Chromium Spinels

Afif¹,

Benyoussef²,

Hamedoun³

et al. 2000

phys. stat. sol. (b)

View full text Add to dashboard Cite

“…Our proposal is to establish the magnetic phase diagrams of Cd 1-x Mn x Te and Zn 1-x Mn x Te systems in the framework of the Ising model. To study the critical phenomena in quenched random spin systems, Sarbach [11] established in 1980 a method based on evaluating the mean free energy. He applied the replica method (RM) to Ising simple cubic systems with quenched random interactions.…”

Section: Magnetic Phase Diagrams Of CD 1-x Mn X Te and Zn 1-x Mn X Tementioning

confidence: 99%

Electronic and magnetic properties of diluted magnetic semiconductors A_{1– x}Mn_xTe (A = Cd, Zn) (0 ≤ x ≤ 1)

Hamedoun¹,

Elachheb

Bakrim

et al. 2003

Physica Status Solidi (b)

View full text Add to dashboard Cite

We have investigated the magnetic and electronic properties of diluted magnetic semiconductors (DMS) Cd 1-x Mn x Te and Zn 1-x Mn x Te. The magnetic phase diagrams have been determined by the replica method in the framework of the Ising model using the variational principle. The obtained results are in agreement with the experimental ones. A spin glass state has been obtained for x < x c (x c = 0.6). This phase is attributed to the randomness and the frustration of the antiferromagnetic interactions between the Mn magnetic ions arising from the topology of the DMS alloys. The sp 3 semi-empirical nearest-neighbour tight-binding formalism is used to compute the band structures of the above two systems in the hole range of concentration 0 ≤ x ≤ 1. The variation of the gap energy E g with x is presented. The magnetic blueshift for x > x c is discussed in relation with the published magnetic results.

show abstract

“…To study the critical phenomena in quenched random spin systems Sarbach established in 1980 [8] a method based on evaluating the mean-field free energy. He applied the replica method to Ising simple cubic systems with quenched random interactions.…”

Section: Theory and Resultsmentioning

confidence: 99%