Studies of small-polaron motion IV. Adiabatic theory of the Hall effect

Emin, David; Holstein, T.

doi:10.1016/0003-4916(69)90034-7

Cited by 722 publications

(282 citation statements)

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“…This is the basis for our analysis of the ρ(T) data using polaron models. 26,27 It is interesting to note that the electrical resistivity decreases with an increase of x up to x=0.2. For the subsequent increase in x to 0.3, resistivity increased.…”

Section: A Structure and Transport Studiesmentioning

confidence: 99%

Effects of Dy sub lattice dilution on transport and magnetic properties in Dy1-xKxMnO3

et al. 2017

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Interaction of multiple oxidation states of manganese ions with rare earth ions in manganites leads to the observation of various magnetic ground states. To understand the effect of average ionic size on electrical conductivity and magnetic ground state properties in Dy1-xKxMnO3 (x=0.0, 0.1, 0.2 & 0.3), we have investigated electron transport as a function of temperature and magnetic properties as a function of temperature, frequency and magnetic field of these compounds. Although mixed valent manganese ions can facilitate a double exchange interaction via oxygen ion leading to a ferromagnetic metallic ground state, no insulator-metal transition was detected. On the other hand, in the compounds with x=0.0 to 0.2, transport properties suggested an adiabatic small polaron hopping conduction mechanism. However, x=0.3 compound followed a variable range hopping conduction. Temperature variation of magnetization data exhibited three different types of transitions involving Mn and Dy ions. The bifurcation between zero field cooled and field cooled magnetization data was observed in all the compounds. Field-dependent magnetization of all the compounds showed hysteresis loops for temperatures less than 10 K. Although large irreversibility between zero field cooled and field cooled magnetization data was observed with a peak for x=0.3, the peak temperatures did not alter with frequency ruling out the possibility of spin glass behavior. The presence of hysteresis loops and lack of saturation magnetization implied the simultaneous presence of ferromagnetic and antiferromagnetic exchange interactions well within the antiferromagnetic ordering of Mn ions.

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Section: A Structure and Transport Studiesmentioning

confidence: 99%

Effects of Dy sub lattice dilution on transport and magnetic properties in Dy1-xKxMnO3

et al. 2017

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“…Alternatively stated, the Si dopants are fully ionized, and there is no activation energy associated with carrier generation. This allows estimation 45 of the drift mobility using eqn (2),…”

Section: Seebeck Coefficientmentioning

confidence: 99%

Synthesis, electronic transport and optical properties of Si:α-Fe₂O₃ single crystals

et al. 2016

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We report the synthesis of silicon-doped hematite (Si:a-Fe 2 O 3 ) single crystals via chemical vapor transport, with Si incorporation on the order of 10 19 cm À3. The conductivity, Seebeck and Hall effect were measured in the basal plane between 200 and 400 K. Distinct differences in electron transport were observed above and below the magnetic transition temperature of hematite at B265 K (the Morin transition, T M ). Above 265 K, transport was found to agree with the adiabatic small-polaron model, the conductivity was characterized by an activation energy of B100 meV and the Hall effect was dominated by the weak ferromagnetism of the material. A room temperature electron drift mobility of B10 À2 cm 2 V À1 s À1was estimated. Below T M , the activation energy increased to B160 meV and a conventional Hall coefficient could be determined. In this regime, the Hall coefficient was negative and the corresponding Hall mobility was temperature-independent with a value of B10 À1 cm 2 V À1 s À1. Seebeck coefficient measurements indicated that the silicon donors were fully ionized in the temperature range studied. Finally, we observed a broad infrared absorption upon doping and tentatively assign the feature at B0.8 eV to photon-assisted small-polaron hops. These results are discussed in the context of existing hematite transport studies.

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“…S of boron-rich ICSs can be explained by variable-range hopping-type conduction 10) (4) or phonon-assisted hopping-type conduction 8) (5).…”

Section: Resultsmentioning

confidence: 99%

“…6,7) Furthermore, the conduction mechanism of both pure and metal-doped -Boron is considered to be hopping conduction. In the case of phonon-assisted hopping conduction, 8) which is typical of boron carbide, 9) S have a tendency to increase with increasing temperature. This is because the mobility of carriers is thermally activated, whereas the concentration of carriers is almost constant.…”

Section: Introductionmentioning

confidence: 99%

Effects of Metal Doping on Thermoelectric Properties of Arc-Melted and Hot-Pressed β-Rhombohedral Boron

et al. 2008

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Thermoelectric properties of metal (V, Co, Zr, Sr, W)-doped -rhombohedral boron (-Boron) were examined in the temperature range from 353 K to 1073 K. Doping with V (V 1:5 B 105 ), which preferentially occupy the A 1 sites, results in a great increase of electrical conductivity and a negative Seebeck coefficient S, while doping Co, Zr, Sr or W (M 1:0 B 105 , M ¼ Co, Zr, Sr or W) also increases the though S remains positive. By crushing and hot pressing as-melted samples, the thermal conductivity was decreased to almost half of that of arc-melted samples. As a result, V-doped and hot-pressed n-type -Boron had a ZT value of about 0.01 at 885 K, which approaches that of boron carbide, which exhibits the maximum ZT value among the boron-rich icosahedral cluster solids.

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Studies of small-polaron motion IV. Adiabatic theory of the Hall effect

Cited by 722 publications

References 0 publications

Effects of Dy sub lattice dilution on transport and magnetic properties in Dy1-xKxMnO3

Effects of Dy sub lattice dilution on transport and magnetic properties in Dy1-xKxMnO3

Synthesis, electronic transport and optical properties of Si:α-Fe₂O₃ single crystals

Effects of Metal Doping on Thermoelectric Properties of Arc-Melted and Hot-Pressed β-Rhombohedral Boron

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Studies of small-polaron motion IV. Adiabatic theory of the Hall effect

Cited by 722 publications

References 0 publications

Effects of Dy sub lattice dilution on transport and magnetic properties in Dy1-xKxMnO3

Effects of Dy sub lattice dilution on transport and magnetic properties in Dy1-xKxMnO3

Synthesis, electronic transport and optical properties of Si:α-Fe2O3 single crystals

Effects of Metal Doping on Thermoelectric Properties of Arc-Melted and Hot-Pressed &beta;-Rhombohedral Boron

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Synthesis, electronic transport and optical properties of Si:α-Fe₂O₃ single crystals

Effects of Metal Doping on Thermoelectric Properties of Arc-Melted and Hot-Pressed β-Rhombohedral Boron