Emission of correlated electron pairs from solid surfaces

Gollisch, H.; Schwartzenberg, N. v.; Feder, R.

doi:10.1103/physrevb.74.075407

Cited by 36 publications

(40 citation statements)

References 25 publications

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“…However, the measured carbon-carbon distance in benzene is 0.142 nm for all bonds, which is roughly the average length of a single and a double bond. This equivalence of all bonds in benzene was explained by Linus Pauling in 1931 within a quantum-mechanical treatment of the benzene ring (Pauling, 1960). The ground state is a quantummechanical superposition of the two possible configurations for the double bonds, as shown schematically in Fig.…”

Section: A the Carbon Atom And Its Hybridizationsmentioning

confidence: 95%

“…Therefore, the overlap corrections simply yield a renormalization of the NNN hopping amplitudes. The hopping amplitudes may be determined by fitting the energy dispersion (21) obtained within the tight-binding approximation to those calculated numerically in more sophisticated band-structure calculations (Partoens and Peeters, 2006) or to spectroscopic measurements (Mucha-Kruczyński et al, 2008). These yield a value of t ' À3 eV for the NN hopping amplitude and t 0 NNN ' 0:1t, which justifies the above-mentioned expansion for t 0 NNN =t ( 1.…”

Section: A Formal Solutionmentioning

confidence: 98%

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Electronic properties of graphene in a strong magnetic field

2011

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The basic aspects of electrons in graphene (two-dimensional graphite) exposed to a strong perpendicular magnetic field are reviewed. One of its most salient features is the relativistic quantum Hall effect, the observation of which has been the experimental breakthrough in identifying pseudorelativistic massless charge carriers as the low-energy excitations in graphene. The effect may be understood in terms of Landau quantization for massless Dirac fermions, which is also the theoretical basis for the understanding of more involved phenomena due to electronic interactions. The role of electron-electron interactions both in the weakcoupling limit, where the electron-hole excitations are determined by collective modes, and in the strong-coupling regime of partially filled relativistic Landau levels are presented. In the latter limit, exotic ferromagnetic phases and incompressible quantum liquids are expected to be at the origin of recently observed (fractional) quantum Hall states. Furthermore, the electronphonon coupling in a strong magnetic field is discussed. Although the present review has a dominant theoretical character, a close connection with available experimental observation is intended.

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Section: A the Carbon Atom And Its Hybridizationsmentioning

confidence: 95%

Section: A Formal Solutionmentioning

confidence: 98%

Electronic properties of graphene in a strong magnetic field

2011

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“…The final two-electron state |3,4 includes the Coulomb correlation between the one-electron states |3 and |4 (as described in detail in Ref. 10).…”

Section: Formalism and Modelmentioning

confidence: 99%

Electron pair emission from W(110): Response to a spin-polarized surface state

2013

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Details of a spin-polarized surface state on W(110) with a Dirac-cone-like dispersion are revealed by calculations of the spin-and layer-resolved density of states. After collisions of spin-polarized low-energy electrons, which impinge on the surface, with the surface-state electrons, correlated electron pairs are emitted, which have either parallel or antiparallel spins. Calculations of the corresponding reaction cross sections demonstrate, first, a spin-resolved mapping of the surface-state dispersion with surface-parallel momentum. Second, momentum distributions of the outgoing electron pairs with parallel and antiparallel spins allow a separation of Coulomb correlation and exchange effects.

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“…With this in mind it becomes clear that DPE is particular sensitive to the electron-electron interaction. Moreover, a theoretical study on the DPE emission from a Cu(100) surface clearly showed that the exchange-correlation hole manifests itself in the angular distribution of the coincidence intensity [10][11][12]. The power of DPE has also been recognized in studies of atomic or molecular targets [13][14][15].…”

Section: Figure 2 Schematic Behavior Of the Pair Correlation Functionmentioning

confidence: 96%

Sensing the electron–electron correlation in solids via double photoemission

Schumann

Winkler

Kirschner

2009

Physica Status Solidi (b)

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We discuss the electron pair emission from surfaces upon the absorption of a single photon, also called double photoemission (DPE). This experiment is particular sensitive to the electron–electron interaction, because for independent electrons the DPE intensity is zero. We outline the experimental development of this technique over the past decade. Going beyond the mere detection of pairs we advanced the instrumentation. Now we are able to measure the kinetic energies and emission angles of a wide angular acceptance. We will show how the available energy is distributed among the electrons and how the angular distributions look like. The latter enabled us to make contact to an important concept of modern solid state theory, namely the exchange–correlation hole. We demonstrate that the exchange–correlation hole manifests itself in a depletion zone of the coincidence intensity around the fixed emission direction of one electron. The experiments were performed at the synchrotron facilities BESSY I and BESSY II. (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Emission of correlated electron pairs from solid surfaces

Cited by 36 publications

References 25 publications

Electronic properties of graphene in a strong magnetic field

Electronic properties of graphene in a strong magnetic field

Electron pair emission from W(110): Response to a spin-polarized surface state

Sensing the electron–electron correlation in solids via double photoemission

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