Cyclotron resonance of electrons and of holes in cuprous oxide, Cu<sub>2</sub>O

Hodby, J.W.; Jenkins, Tim; Schwab, C.; Tamura, Hiroshi; Trivich, D.

doi:10.1088/0022-3719/9/8/014

Cited by 162 publications

(103 citation statements)

References 19 publications

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“…Delafossites and Cu I oxides in general are considered to be polaronic, [53][54][55][56]58,70,96,[99][100][101][102][103][104][105][106] and as such it is expected that the CuCu distances should play a part in any conductivity, with holes expected to hop from Cu to Cu. 58 The Cu-Cu distance (equal to the a/b lattice constant) is determined by the size of the M III ion, which suggests that the conductivity will increase as the size of the M III ion decreases.…”

Section: Discussionmentioning

confidence: 99%

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO₂: A Density Functional Theory Analysis

2009

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CuCrO 2 is the most promising Cu-based delafossite for p-type optoelectronic devices. Despite this, little is known about the p-type conduction mechanism of this material, with both Cu I /Cu II and Cr III /Cr IV hole mechanisms being proposed. In this article we examine the electronic structure, thermodynamic stability and the p-type defect chemistry of this ternary compound using density functional theory with three different approaches to the exchange and correlation; the generalized-gradient-approximation of Perdew, Burke and Ernzerhof (PBE), PBE with an additional correction for on-site Coulombic interactions (PBE + U) and the nonlocal, screened-exchange hybrid functional HSE06. The fundamental band gap of CuCrO 2 is demonstrated to be indirect in nature. Under all growth conditions, the dominant intrinsic p-type defect will be the Cu vacancy, with hole formation centered solely on the Cu sublattice. Mg doping is found to be significantly lower in energy than intrinsic defect formation, explaining the large increases in conductivity seen experimentally. Cu-rich/Cr-poor growth conditions are found to be optimal for both intrinsic and extrinsic (Mg doping) defect formation, and should be adopted to maximize performance.

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Section: Discussionmentioning

confidence: 99%

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO₂: A Density Functional Theory Analysis

2009

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“…The components of the effective electron and hole masses for Cu 2 O along different symmetry directions are reported in Table IV together with the available experimental data obtained by cyclotron resonance to allow comparison. [34][35][36] In the absence of spin-orbit splitting, the states at the top of the valence band are triply degenerate ͑Fig. 7͒.…”

Section: E Effective Electron and Hole Massesmentioning

confidence: 99%

Electronic structure and properties ofCu2O

et al. 1997

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The structural and electronic properties of Cu 2 O have been investigated using the periodic Hartree-Fock method and a posteriori density-functional corrections. The lattice parameter, bulk modulus, and elastic constants have been calculated. The electronic structure of and bonding in Cu 2 O are analyzed and compared with x-ray photoelectron spectroscopy spectra, showing a good agreement for the valence-band states. To check the quality of the calculated electron density, static structure factors and Compton profiles have been calculated, showing a good agreement with the available experimental data. The effective electron and hole masses have been evaluated for Cu 2 O at the center of the Brillouin zone. The calculated interaction energy between the two interpenetrated frameworks in the cuprite structure is estimated to be around Ϫ6.0 kcal/mol per Cu 2 O formula. The bonding between the two independent frameworks has been analyzed using a bimolecular model and the results indicate an important role of d 10 -d 10 type interactions between copper atoms. ͓S0163-1829͑97͒01735-9͔

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“…Similar effects take place in semiconductors where electrons couple to phononic excitations [6,7], leading to a quasiparticle known as a polaron. In these systems, the increase of the effective mass has been observed [8]. However, a quantitative measurement of the predicted phononic Lamb shift [9,10], which is defined for an electron bound to a donor ion, is still missing.…”

Section: Introductionmentioning

confidence: 99%

Observation of the Phononic Lamb Shift with a Synthetic Vacuum

et al. 2016

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In contrast to classical empty space, the quantum vacuum fundamentally alters the properties of embedded particles. This paradigm shift allows one to explain the discovery of the celebrated Lamb shift in the spectrum of the hydrogen atom. Here, we engineer a synthetic vacuum, building on the unique properties of ultracold atomic gas mixtures, offering the ability to switch between empty space and quantum vacuum. Using high-precision spectroscopy, we observe the phononic Lamb shift, an intriguing many-body effect originally conjectured in the context of solid-state physics. We find good agreement with theoretical predictions based on the Fröhlich model. Our observations establish this experimental platform as a new tool for precision benchmarking of open theoretical challenges, especially in the regime of strong coupling between the particles and the quantum vacuum.

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Cyclotron resonance of electrons and of holes in cuprous oxide, Cu₂O

Cited by 162 publications

References 19 publications

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO₂: A Density Functional Theory Analysis

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO₂: A Density Functional Theory Analysis

Electronic structure and properties ofCu2O

Observation of the Phononic Lamb Shift with a Synthetic Vacuum

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Cyclotron resonance of electrons and of holes in cuprous oxide, Cu2O

Cited by 162 publications

References 19 publications

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO2: A Density Functional Theory Analysis

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO2: A Density Functional Theory Analysis

Electronic structure and properties ofCu2O

Observation of the Phononic Lamb Shift with a Synthetic Vacuum

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Product

Resources

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Cyclotron resonance of electrons and of holes in cuprous oxide, Cu₂O

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO₂: A Density Functional Theory Analysis

Understanding the p-Type Conduction Properties of the Transparent Conducting Oxide CuBO₂: A Density Functional Theory Analysis