Extended universality of the Ising model

Ritchie, Douglas; Betts, D. D.

doi:10.1103/physrevb.11.2559

Cited by 40 publications

(15 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…During the conference, Prof. Guttmann asked us to check if these numbers agree with the corresponding results [27][28][29][30][31][32][33][34] using the lattice-lattice scaling hypothesis. They do agree and the current work can be seen as a theoretical confirmation of the heuristic lattice-lattice scaling approach to susceptibility amplitude calculations in planar Ising models.…”

Section: Wavevector-dependent Susceptibility In Z-invariant Latticementioning

confidence: 99%

See 1 more Smart Citation

Susceptibility calculations in periodic and quasiperiodic planar Ising models

Au-Yang

Perk

2003

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

New results are presented for the wavevector-dependent susceptibility of Z-invariant periodic and quasiperiodic Ising Models in the scaling limit, generalizing old results of Tracy and McCoy for the square lattice. Explicit results are worked out for the two leading singular terms of the susceptibility on four regular isotropic lattices. The methods used provide a proof of the extended lattice-lattice scaling hypothesis for the class of models under consideration.

show abstract

Section: Wavevector-dependent Susceptibility In Z-invariant Latticementioning

confidence: 99%

“…Guttmann extended the method to predict the C 0± and C 1± for the triangular and honeycomb lattices [28,30]. Ritchie and Betts showed that the method fails for the kagome lattice [31], but this was fixed by Guttmann who introduced the extended latticelattice scaling hypothesis [33].…”

Section: Susceptibility Amplitudes and Lattice-lattice Scalingmentioning

confidence: 99%

Susceptibility calculations in periodic and quasiperiodic planar Ising models

Au-Yang

Perk

2003

Physica A: Statistical Mechanics and its Applications

View full text Add to dashboard Cite

show abstract

“…Photoelectron circular dichroism (PECD) is a fundamental chiroptical effect causing a forward-backward asymmetry in the laboratory-frame angular distribution of photoelectrons emitted from chiral molecules in the gas phase. PECD was first predicted theoretically for one-photon ionization [1][2][3] and then verified in pioneering experiments with circularly polarized synchrotron radiation [4,5]. The effect persists also in the multiphoton ionization regime using intense laser pulses [6,7].…”

mentioning

confidence: 99%

“…Ritchie [1][2][3] has proven analytically that PECD arises due to an incomplete compensation of the contributions from emitted partial electron waves with different projections ±m of the carried angular momentum ℓ. Such an inequivalence occurs only for chiral molecules and has a twofold origin: It is induced by the chiral asymmetries of both, the initial bound and the final continuum electronic states entering the dipole-transition amplitudes.…”

mentioning

confidence: 99%

Recovery of High-Energy Photoelectron Circular Dichroism through Fano Interference

et al. 2019

View full text Add to dashboard Cite

It is commonly accepted that the magnitude of a photoelectron circular dichroism (PECD) is governed by the ability of an outgoing photoelectron wave packet to probe the chiral asymmetry of a molecule. To be able to accumulate this characteristic asymmetry while escaping the chiral ion, photoelectrons need to have relatively small kinetic energies of up to a few tens of electron volts. Here, we demonstrate a substantial PECD for very fast photoelectrons above 500 eV kinetic energy released from methyloxirane by a participator resonant Auger decay of its lowermost O 1s-excitation. This effect emerges as a result of the Fano interference between the direct and resonant photoionization pathways, notwithstanding that their individual effects are negligibly small. The resulting dichroic parameter has an anomalous dispersion, i.e. it changes its sign across the resonance, which can be considered as an analogue of the Cotton effect in the X-ray regime. 32.80.Hd, 33.55.+b, 81.05.Xj Photoelectron circular dichroism (PECD) is a fundamental chiroptical effect causing a forward-backward asymmetry in the laboratory-frame angular distribution of photoelectrons emitted from chiral molecules in the gas phase. PECD was first predicted theoretically for one-photon ionization [1-3] and then verified in pioneering experiments with circularly polarized synchrotron radiation [4,5]. The effect persists also in the multiphoton ionization regime using intense laser pulses [6,7]. Because PECD is a pure electric-dipole effect, it is much stronger than the traditional CD in the photoabsorption spectra of chiral molecules [8]. This fact, together with its enantioselectivity, has established PECD as a powerful tool for chiral recognition in the gas phase [8][9][10][11].Ritchie [1-3] has proven analytically that PECD arises due to an incomplete compensation of the contributions from emitted partial electron waves with different projections ±m of the carried angular momentum ℓ. Such an inequivalence occurs only for chiral molecules and has a twofold origin: It is induced by the chiral asymmetries of both, the initial bound and the final continuum electronic states entering the dipole-transition amplitudes. For slow photoelectrons with kinetic energies of a few electron volts, initial and final state contributions to PECD can be comparable [12]. As the electron kinetic energy grows, the photoelectron wave packet escapes the molecular ion quickly and does not have enough time to adopt its chiral asymmetry. In other words, both, the chiral initial state and the chiral potential of the ion can be considered almost symmetric for very fast photoelectrons. As a consequence, at high kinetic energies, typically at a few tens of electron volts [12,13] and in extreme cases at about 70 eV [14], PECD vanishes.In the present work, we demonstrate a very general mechanism of PECD recovery for electrons with kinetic energies of as high as a few hundreds of electron volts. This scenario involves an intermediate electronic resonance, which enables an excited m...

show abstract

“…The effect was first termed by Ritchie. 1 Feder predicted CDAD in dipole approximation for photoemission from adsorbates. 2 In general, the effect appears when the photoemission process allows chirality for example due to a symmetry break, even for nonchiral targets.…”

Section: Introductionmentioning

confidence: 99%

An Experimental Proof of the Back-Scattering Model for Dichroic Effects in Vuv Photoemission

et al. 2002

View full text Add to dashboard Cite

The energy dependence of the circular dichroism in the angular distribution of photoelectrons (CDAD) was investigated from the shallow Cs 5p core levels. Cesium was prepared in a hexagonal ordered monolayer on W(110). The results are mainly influenced by scattering of the photoelectrons within the adlayer. At low energies, the behavior observed is described by means of a model that treats only the back-scattering of photoelectrons at the potential step between the adlayer and the substrate. It leads to a simple method determining the position of the monolayer with respect to the substrate. In this approach, the back-scattering model is matched with the measured energy dependence of the CDAD between hν = 21 eV and hν = 33 eV. This procedure yields reliable results already for a single observation angle of the photoelectron. The distance between cesium and tungsten was determined to be (2.2 ± 0.1)Å, which corresponds to the effective distance between the center of the adsorbed layer and the potential step between the layer and the substrate. Finally, the fitted result was proven to meet the complete angular dependence of the CDAD at different photon energies.

show abstract

Extended universality of the Ising model

Cited by 40 publications

References 33 publications

Susceptibility calculations in periodic and quasiperiodic planar Ising models

Susceptibility calculations in periodic and quasiperiodic planar Ising models

Recovery of High-Energy Photoelectron Circular Dichroism through Fano Interference

An Experimental Proof of the Back-Scattering Model for Dichroic Effects in Vuv Photoemission

Contact Info

Product

Resources

About