Quantum properties of proton subsystem in proton semiconductors
The quantum mechanism of the relaxation motion of the most mobile charge carriers (protons) in crystals with hydrogen bonds (HBC) in the range of low temperature (70-100 K) is studied. The energy spectrum of the proton in the unperturbed potential field of a crystal lattice modeled as a one-dimensi...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2018-03-01
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| Series: | Қарағанды университетінің хабаршысы. Физика сериясы |
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| Online Access: | https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/213 |
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| author | V.A. Kalytka A.I. Aliferov Z.K. Baimukhanov A.D. Mekhtiev A.D. Alkina |
| author_facet | V.A. Kalytka A.I. Aliferov Z.K. Baimukhanov A.D. Mekhtiev A.D. Alkina |
| author_sort | V.A. Kalytka |
| collection | DOAJ |
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The quantum mechanism of the relaxation motion of the most mobile charge carriers (protons) in crystals with hydrogen bonds (HBC) in the range of low temperature (70-100 K) is studied. The energy spectrum of the proton in the unperturbed potential field of a crystal lattice modeled as a one-dimensional periodic potential relief of a rectangular shape is investigated in the quasi-classical approximation by the Wentzel – Kramers – Brillouin method (WKB-method) at ohmic contacts at the crystal boundaries (the work function of the proton from the crystal is assumed to be finite). The band structure of the energy spectrum of lowtemperature relaxers (protons) in proton materials was discovered, the word parameters of the band structure (width of the forbidden zone, «bottom» and «ceiling» of the energy zone minimum and maximum distances between two fixed energy bands). The populations of quasi-discrete energy levels (within the limits of the corresponding energy bands) by protons are calculated using an balanced (equilibrium) density matrix constructed on the basis of Boltzmann's quantum statistics for protons tunneling through a rectangular potential barrier. With the help of a quasi-stationary equilibrium density matrix, an expression is constructed for the polarization of the proton subsystem perturbed by an external homogeneous harmonic time-varying electric field.
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| format | Article |
| id | doaj-art-3f4fba4c54d04b2e810e01beeb6083cd |
| institution | DOAJ |
| issn | 2518-7198 2663-5089 |
| language | English |
| publishDate | 2018-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Физика сериясы |
| spelling | doaj-art-3f4fba4c54d04b2e810e01beeb6083cd2025-08-20T03:18:12ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Физика сериясы2518-71982663-50892018-03-01891Quantum properties of proton subsystem in proton semiconductorsV.A. KalytkaA.I. AliferovZ.K. BaimukhanovA.D. MekhtievA.D. Alkina The quantum mechanism of the relaxation motion of the most mobile charge carriers (protons) in crystals with hydrogen bonds (HBC) in the range of low temperature (70-100 K) is studied. The energy spectrum of the proton in the unperturbed potential field of a crystal lattice modeled as a one-dimensional periodic potential relief of a rectangular shape is investigated in the quasi-classical approximation by the Wentzel – Kramers – Brillouin method (WKB-method) at ohmic contacts at the crystal boundaries (the work function of the proton from the crystal is assumed to be finite). The band structure of the energy spectrum of lowtemperature relaxers (protons) in proton materials was discovered, the word parameters of the band structure (width of the forbidden zone, «bottom» and «ceiling» of the energy zone minimum and maximum distances between two fixed energy bands). The populations of quasi-discrete energy levels (within the limits of the corresponding energy bands) by protons are calculated using an balanced (equilibrium) density matrix constructed on the basis of Boltzmann's quantum statistics for protons tunneling through a rectangular potential barrier. With the help of a quasi-stationary equilibrium density matrix, an expression is constructed for the polarization of the proton subsystem perturbed by an external homogeneous harmonic time-varying electric field. https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/213crystals with hydrogen bondsthe band structure of the proton energy spectrum in the HBCquasiclassical approximation in quantum mechanicsthe equilibrium density matrix for protonsenergy zones of the proton in HBC |
| spellingShingle | V.A. Kalytka A.I. Aliferov Z.K. Baimukhanov A.D. Mekhtiev A.D. Alkina Quantum properties of proton subsystem in proton semiconductors Қарағанды университетінің хабаршысы. Физика сериясы crystals with hydrogen bonds the band structure of the proton energy spectrum in the HBC quasiclassical approximation in quantum mechanics the equilibrium density matrix for protons energy zones of the proton in HBC |
| title | Quantum properties of proton subsystem in proton semiconductors |
| title_full | Quantum properties of proton subsystem in proton semiconductors |
| title_fullStr | Quantum properties of proton subsystem in proton semiconductors |
| title_full_unstemmed | Quantum properties of proton subsystem in proton semiconductors |
| title_short | Quantum properties of proton subsystem in proton semiconductors |
| title_sort | quantum properties of proton subsystem in proton semiconductors |
| topic | crystals with hydrogen bonds the band structure of the proton energy spectrum in the HBC quasiclassical approximation in quantum mechanics the equilibrium density matrix for protons energy zones of the proton in HBC |
| url | https://phs.buketov.edu.kz/index.php/physics-vestnik/article/view/213 |
| work_keys_str_mv | AT vakalytka quantumpropertiesofprotonsubsysteminprotonsemiconductors AT aialiferov quantumpropertiesofprotonsubsysteminprotonsemiconductors AT zkbaimukhanov quantumpropertiesofprotonsubsysteminprotonsemiconductors AT admekhtiev quantumpropertiesofprotonsubsysteminprotonsemiconductors AT adalkina quantumpropertiesofprotonsubsysteminprotonsemiconductors |