Theoretical analysis of muon spin polarization behaviour in acceptor centres formed by μ− in Si

Gorelkin, V. N.; Mamedov, T. N.; Baturin, A. S.

doi:10.1016/s0921-4526(00)00263-5

Cited by 19 publications

(6 citation statements)

References 4 publications

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“…At room temperature (T = 300 K) the muon spin precession frequency in the D6 sample is close to that in the reference sample: [ω(C) − ω(D6)]/ω(C) = (1.8 ± 0.4) · 10 −4 . Opposite to the theoretical prediction [7] and to the experimental results in silicon [15], a negative shift of the muon spin precession frequency was observed at temperatures below 250 K. The temperature dependence of the frequency shift can be approximated as [ω(T ) − ω(300 K)]/ω(300 K) = ∆ω/ω ∼ −1/T (dotted line in Fig. 1).…”

Section: Resultsmentioning

confidence: 57%

“…The efficiency of the hyperfine interaction depends on the relaxation rate ν of the magnetic moment of µ B and on the hyperfine interaction constant A hf . According to theoretical calculations [7], relaxation of the muon spin and a paramagnetic shift of its precession frequency are expected for ν ≫ |A hf |. Under the assumption of an isotropic hyperfine interaction, the paramagnetic shift should be of positive sign and inversely proportional to temperature.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Muonic atom as an acceptor centre in diamond

Mamedov¹,

Baturin²,

Gritsaj³

et al. 2014

J. Phys.: Conf. Ser.

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Polarized negative muons were used to study the behaviour of the boron acceptor centre in synthetic diamond produced by the chemical vapour deposition (CVD) method. The negative muon substitutes one of the electrons in a carbon atom, and this muonic atom imitates the boron acceptor impurity in diamond. The temperature dependence of the muon spin relaxation rate and spin precession frequency were measured in the range of 20 − 330 K in a transverse magnetic field of 14 kOe. For the first time a negative shift of the muon spin precession was observed in diamond. It is tentatively attributed to an anisotropic hyperfine interaction in the boron acceptor.The magnetic measurements showed that the magnetic susceptibility of the CVD sample was close to that of the purest natural diamond.Diamond with its unsurpassed mechanical strength, thermal conductivity, and radiation hardness is a promising semiconductor for particle detectors and electronic components capable of withstanding high heat and radiation loads. Great advances have been made over the last years in the technology of manufacturing synthetic single crystal diamond and diamond films [1,2, 3].Boron is the only dopant which forms an acceptor centre (AC) in diamond with an ionization energy of ≈ 370 meV [4]. The metal-insulator transition occurs at a concentration of ≈ 2 · 10 20 cm −3 of boron atoms [5]. The EPR signal of boron impurities in diamond was observed only for uniaxially stressed samples [6], and the electronic state of this acceptor is investigated insufficiently.The possibility of using negative muons to study the behaviour of acceptor impurities in diamond arises from the fact that capture of a negative muon by a carbon atom results in the formation of a muonic atom µ B with an electron shell that is analogous to that of the boron atom. The evolution of the polarization of µ − in the 1s atomic state depends on the interaction of the muon spin with the electron shell of the muonic atom and on the interactions of this muonic atom 1

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Section: Resultsmentioning

confidence: 57%

Section: Introductionmentioning

confidence: 99%

Muonic atom as an acceptor centre in diamond

Mamedov¹,

Baturin²,

Gritsaj³

et al. 2014

J. Phys.: Conf. Ser.

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“…According to the theoretical calculation [10], if a muonic atom as an acceptor center is formed in the paramagnetic state, the relaxation of the negative muon spin is conditioned by the hyperfine interaction between the muon spin and the magnetic moment of the acceptor center. The relaxation rate of the muon spin depends on that of the acceptor center magnetic moment as: (2) where J = 3/2 is the angular momentum of the Ga acceptor center in germanium, A hf is the hyperfine interaction constant, ν is the relaxation rate of the AC magnetic moment, ប = h/2π, h is the Planck constant, ω e = gμ B B/ប is the angular precession frequency of the AC magnetic moment in the magnetic field B, μ B is the Bohr magneton, and g is the g factor of the AC.…”

Section: Resultsmentioning

confidence: 99%

Relaxation of the shallow acceptor center in germanium

et al. 2012

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“…Dealing with more complicated systems, for the sake of brevity, we will omit analytical solutions of the tomographic evolution equation (47) and calculations of the entanglement measure (37).…”

Section: Evolution and Entanglement Of Mu-like Systemsmentioning

confidence: 99%

“…For example, negative muons in Si can form µ Al acceptor centers. The effective moment of the electron shell in such centers can take values greater than 1/2, for example, the case j (e) = 3/2 is discussed in the papers [36,37]. Such systems are also of interest for us and we will consider them in Secs.…”

Section: Muons In Mattermentioning

confidence: 99%

MuSR method and tomographic-probability representation of spin states

Belousov¹,

Filippov²,

Gorelkin³

et al. 2010

J Russ Laser Res

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Muon spin rotation/relaxation/resonance (MuSR) technique for studying matter structures is considered by means of a recently introduced probability representation of quantum spin states. A relation between experimental MuSR histograms and muon spin tomograms is established. Time evolution of muonium, anomalous muonium, and a muonium-like system is studied in the tomographic representation. Entanglement phenomenon of a bipartite muon-electron system is investigated via tomographic analogues of Bell number and positive partial transpose (PPT) criterion. Reconstruction of the muonelectron spin state as well as the total spin tomography of composed system is discussed.

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Theoretical analysis of muon spin polarization behaviour in acceptor centres formed by μ− in Si

Cited by 19 publications

References 4 publications

Muonic atom as an acceptor centre in diamond

Muonic atom as an acceptor centre in diamond

Relaxation of the shallow acceptor center in germanium

MuSR method and tomographic-probability representation of spin states

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