1979
DOI: 10.1103/physrevb.20.4256
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Indirect-exchange interactions in zero-gap semiconductors

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Cited by 62 publications
(19 citation statements)
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“…In this term, the nearestneighbor (NN) AFM interaction is expected to be rather strong (J NN /k B ≈ 5 K [25,26]), such that for magnetic fields lower than 5 T [= (2J NN − 5k B T e, max )/(g Mn μ B ), where T e, max = 823 mK], NN are always antiferromagnetically coupled and thus do not contribute to the GZS. However, the next-nearest neighbors (NNN) of manganese atom interaction are weaker (J NNN /k B = 0.5 K [28][29][30][31]) and can play a role already at B ∼ 0.5 T and T ∼ 200 mK and similar or lower B/T values. We note that the interaction strength between third-and higher-order NN is generally small and decreases exponentially with distance [31,32].…”
Section: Characteristics Of the Sdh Nodesmentioning
confidence: 99%
“…In this term, the nearestneighbor (NN) AFM interaction is expected to be rather strong (J NN /k B ≈ 5 K [25,26]), such that for magnetic fields lower than 5 T [= (2J NN − 5k B T e, max )/(g Mn μ B ), where T e, max = 823 mK], NN are always antiferromagnetically coupled and thus do not contribute to the GZS. However, the next-nearest neighbors (NNN) of manganese atom interaction are weaker (J NNN /k B = 0.5 K [28][29][30][31]) and can play a role already at B ∼ 0.5 T and T ∼ 200 mK and similar or lower B/T values. We note that the interaction strength between third-and higher-order NN is generally small and decreases exponentially with distance [31,32].…”
Section: Characteristics Of the Sdh Nodesmentioning
confidence: 99%
“…Conduction electron spins interacting with the magnetic impurity spins can mediate an indirect exchange interaction between two localized impurity spins in bulk metals [1][2][3][4][5][6][7][8][9][10][11][12][13][14] and bulk semiconductors [15][16][17][18][19], superconductors [20,21], low-dimensional systems , and topological insulators [51], namely, the RudermannKittel-Kasuya-Yosida (RKKY) interaction. Because the RKKY coupling is, in general, very weak for large-size samples, this largely restricts its application on spintronic devices.…”
Section: Introductionmentioning
confidence: 99%
“…The RKKY-interaction 18 between localized magnetic moments is well discussed for extended graphene, see Refs. 19,20, and after the experimental discovery of graphene revisited in Refs. 21-25. Here, we study a graphene nanoribbon where a gap opens at the Fermi energy.…”
Section: Introductionmentioning
confidence: 99%