Small-polaron versus band conduction in some transition-metal oxides

Abstract In this paper an attempt is made to establish the nature of free charge carriers and of charge carriers bound to centres in p-type NiO, CoO and MnO and in n-type MnO and α-Fe2O3. For free charge carriers, d.c. conductivity, Seebeck coefficient and Hall effect are considered. Effects arising from inhomogeneous conduction and impurity conduction are discussed. Impurity conduction appears to have a strong influence on transport properties in the case of α-Fe2O3, less so in NiO, whereas no influence of this effect has been found in CoO and MnO. It is shown that NiO and CoO do not exhibit the features characteristic of small-polaron conductors but rather can be consistently conceived of as large-polaron band semiconductors. It is suggested that magnetic resistance due to exchange coupling between charge-carrier spin and cation spins plays an important role. The anomalous behaviour of the Hall effect in NiO and α-Fe2O3 is extensively discussed. In contradistinction to NiO, CoO and n-type MnO, free char...

[1]  H. Rupprecht Notizen: Zum anomalen Temperaturverlauf des Hall-Koeffizienten von schwach p-dotiertem InAs , 1958 .

[2]  G. Acket,et al.  Electric transport in N-type Fe2O3 , 1966 .

[3]  A. J. Bosman,et al.  Mechanism of the Electrical Conduction in Li-Doped NiO , 1966 .

[4]  J. L. McNatt Electroreflectance Study of NiO , 1969 .

[5]  H. Fröhlich,et al.  Low mobility materials and Debye dielectric loss due to electrons , 1963 .

[6]  H. G. Reik Optical properties of small polarons in the infrared. , 1963 .

[7]  N. M. Tallan,et al.  The Hall mobility of NiO at elevated temperatures , 1968 .

[8]  H. Fritzsche,et al.  Impurity Conduction in Transmutation-Doped p -Type Germanium , 1960 .

[9]  R. W. Wright,et al.  Temperature Variation of the Electrical Properties of Nickel Oxide , 1949 .

[10]  J. Volger,et al.  Dielectric relaxation processes in smoky quartz crystals at very low temperatures , 1967 .

[11]  Miyuki Murakami,et al.  Hall Effect on Some of the Magnetic Compounds , 1961 .

[12]  E. Abrahams,et al.  Impurity Conduction at Low Concentrations , 1960 .

[13]  H. Fröhlich Electrons in lattice fields , 1954 .

[14]  J. Volger,et al.  A new investigation of dielectric relaxation processes in smoky quartz crystals , 1967 .

[15]  J. Appel Remark on the Hopping Transition Probability of Polaron Holes in NiO , 1966 .

[16]  M. Néel Essai d'interprétation des propriétés magnétiques du sesquioxyde de fer rhomboédrique , 1949 .

[17]  K. Schotte The thermoelectric properties of the small polaron , 1966 .

[18]  M. O'keeffe,et al.  High temperature Hall effect in cuprous oxide , 1967 .

[19]  S. Kabashima,et al.  High Frequency Conductivity of NiO , 1968 .

[20]  M. Klinger,et al.  On a Specific Mechanism of Absorption of Electromagnetic Waves by Impurity Polarons , 1969 .

[21]  J. Wagner,et al.  On the problem of doping semiconducting oxides , 1966 .

[22]  J. Schnakenberg The Hall coefficient of the small polaron , 1965 .

[23]  T. Holstein,et al.  Studies of polaron motion: Part II. The “small” polaron , 1959 .

[24]  D. Emin,et al.  Studies of small-polaron motion IV. Adiabatic theory of the Hall effect , 1969 .

[25]  D. M. Eagles Adiabatic Theory of Nearly Small Polarons , 1966 .

[26]  I. Austin,et al.  Optical absorption of small polarons in semiconducting NiO and CoO in the near and far infra-red , 1968 .

[27]  J. S. Blakemore Semiconductor Statistics , 1962 .

[28]  M. Schott,et al.  Hall mobility of holes and valence bandwidth in anthracene , 1966 .

[29]  A. Sinha,et al.  Theory of thermoelectric power in low-mobility semiconductors , 1963 .

[30]  A. J. Bosman,et al.  Influence of native defects on transport properties of Li-doped NiO , 1966 .

[31]  H. Saltsburg,et al.  Hopping Conduction in NiO , 1965 .

[32]  B. A. Austin,et al.  Hopping conduction in LixNi1-xO crystals at low temperatures , 1965 .

[33]  A. G. Jordan,et al.  Electrical transport properties of single crystal nickel oxide , 1968 .

[34]  R. Newman,et al.  Optical Properties of Nickel Oxide , 1959 .

[35]  S. P. Mitoff Electrical Conductivity and Thermodynamic Equilibrium in Nickel Oxide , 1961 .

[36]  W. D. Johnston,et al.  Mechanism of Conduction in Li‐Substituted Transition Metal Oxides , 1957 .

[37]  D. Tannhauser,et al.  Electrical Properties of Cobalt Monoxide , 1966 .

[38]  F. Morin Magnetic Susceptibility of αFe 2 O 3 and αFe 2 O 3 with Added Titanium , 1950 .

[39]  W. D. Johnston,et al.  The preparation, crystallography, and magnetic properties of the LixCo(1−x)O system , 1958 .

[40]  S. S. Mitra,et al.  Restsrahlen spectrum of MnO , 1969 .

[41]  A. Springthorpe,et al.  Hopping and narrow-band polaron conduction in NiO and CoO , 1966 .

[42]  T. Holstein,et al.  Studies of polaron motion: Part III: The Hall mobility of the small polaron , 1963 .

[43]  H. J. D. Wit,et al.  n-type Hall effect in MnO , 1967 .

[44]  A. Springthorpe,et al.  Near and far infrared absorption by small polarons in semiconducting NiO and CoO , 1968 .

[45]  P. Nagels,et al.  Electrical Conduction in Li‐Doped MnO Single Crystals , 1968 .

[46]  F. Low,et al.  The Motion of Slow Electrons in a Polar Crystal , 1952 .

[47]  N. M. Tallan,et al.  The Hall mobility of electrons and holes in MnO at high temperature , 1968 .

[48]  E H Putley,et al.  The Electrical Conductivity and Hall Effect of Silicon , 1958 .

[49]  S. V. Houten Semiconduction in LixNi1−xO , 1960 .

[50]  H. G. Reik,et al.  Frequency dependence of the electrical conductivity of small polarons for high and low temperatures , 1966 .

[51]  E. Verwey,et al.  Semi-conductors with partially and with completely filled3d-lattice bands , 1937 .

[52]  J. Volger,et al.  Note on the Hall Potential Across an Inhomogeneous Conductor , 1950 .

[53]  A. J. Bosman,et al.  Hall effect between 300° K and 1100° K in NiO , 1965 .

[54]  J. Rutter,et al.  Hall Effect in NiO , 1965 .

[55]  M. Klinger Quantum theory of non-steady-state conductivity in low mobility solids , 1963 .

[56]  H. G. Reik,et al.  Halbleitung einiger Übergangsmetalloxide im Polaronenbild , 1966 .

[57]  R. Feynman,et al.  Mobility of Slow Electrons in a Polar Crystal , 1962 .

[58]  M. C. Lovell,et al.  Anomalies in the electrical conductivity of nickel oxide above room temperature , 1966 .

[59]  S. V. Houten,et al.  Semiconducting properties of transition metal oxides , 1961 .

[60]  N. M. Tallan,et al.  High‐Temperature Defect Structure and Electrical Properties of NiO , 1968 .

[61]  C. Haas Spin-Disorder Scattering and Magnetoresistance of Magnetic Semiconductors , 1968 .

[62]  F. Maranzana Contributions to the Theory of the Anomalous Hall Effect in Ferro- and Antiferromagnetic Materials , 1967 .

[63]  C. G. Koops On the Dispersion of Resistivity and Dielectric Constant of Some Semiconductors at Audiofrequencies , 1951 .

[64]  J. Sussmann Electric Dipoles due to Trapped Electrons , 1962 .

[65]  P. Nagels,et al.  Hall effect in Li-doped MnO , 1967 .

[66]  J. Yamashita,et al.  On electronic current in NiO , 1958 .

[67]  H. J. D. Wit,et al.  Comments on “the hall mobility of electrons and holes in MnO at high temperature” by Gvishi et al. , 1968 .

[68]  J. R. Dixon Anomalous Electrical Properties of p‐Type Indium Arsenide , 1959 .

[69]  John L. Moll,et al.  Physics of Semiconductors , 1964 .

[70]  G. Sewell Model of Thermally Activated Hopping Motion in Solids , 1963 .

[71]  D. Tannhauser,et al.  High‐Temperature Electrical Properties of Manganese Monoxide , 1967 .

[72]  F. Low,et al.  Mobility of Slow Electrons in Polar Crystals , 1955 .

[73]  L. Friedman Hall Effect in the Polaron-Band Regime , 1963 .

[74]  H. Fröhlich,et al.  Electric Conduction in Semiconductors , 1959 .

[75]  P. Nagels,et al.  Electrical measurements on CoO and NiO single crystals , 1964 .

[76]  D. Adler Insulating and Metallic States in Transition Metal Oxides , 1968 .

[77]  H. J. D. Wit,et al.  Thermoelectric force versus electrical resistivity of MnO at 1100°C. An example of “Jonker's pear” , 1968 .

[78]  Nevill Mott,et al.  The theory of impurity conduction , 1961 .

[79]  A. Springthorpe,et al.  Electronic transport phenomena in single-crystal NiO and CoO , 1967 .

[80]  T. Holstein,et al.  Hall Mobility of the Small Polaron. II , 1968 .