Growth of Copper on Reconstructed Pt(100)

Schaefer, B.L.; Nohlen, M.; Wandelt, K.

doi:10.1021/jp0401527

Cited by 9 publications

(11 citation statements)

References 34 publications

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“…Of course, this regime can also be studied with the aid of RG flow equations, see e. g. Refs. [28,32,33,113,135,136,151]. We have shown that the mass parameter m 2 σ ∼ σ assumes negative values in this regime.…”

Section: Bosonization and The Momentum Dependence Of Fermion Interactmentioning

confidence: 75%

“…RG methods have been extensively employed to study critical behavior in QCD with the aid of NJL-type models, see e. g. Refs. [33,53,55,100,113,[135][136][137][138][139]. Usually these model studies rely on a (partially) bosonized version of the action.…”

Section: A Simple Example and The Fierz Ambiguitymentioning

confidence: 99%

“…From the propagator matrix it is apparent that such a regulator function necessarily breaks the O(d = 4) symmetry in the derivative terms of our truncation, i. e. ∂ t Z ψ = ∂ t Z ⊥ ψ even in the zero-temperature limit. In so-called local potential approximations, this problem does not appear since the non-trivial momentum dependence of the propagators is neglected [33,137,138,171,172]. In studies beyond the point-like limit, however, we would have to deal with the broken Poincare-invariance at vanishing temperature which arises due to the choice of our dimensionally reduced regulator function.…”

Section: Finite Temperaturementioning

confidence: 99%

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Fermion interactions and universal behavior in strongly interacting theories

Braun¹

2012

J. Phys. G: Nucl. Part. Phys.

309

465

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The theory of the strong interaction, Quantum Chromodynamics (QCD), describes the generation of hadronic masses and the state of hadronic matter during the early stages of the evolution of the universe. As a complement, experiments with ultracold fermionic atoms provide a clean environment to benchmark our understanding of dynamical formation of condensates and the generation of bound states in strongly interacting many-body systems.Renormalization group (RG) techniques offer great potential for theoretical advances in both hot and dense QCD as well as many-body physics, but their connections have not yet been investigated in great detail. We aim to take a further step to bridge this gap. A cross-fertilization is indeed promising since it may eventually provide us with an ab-initio description of hadronization, condensation, and bound-state formation in strongly interacting theories. After giving a thorough introduction to the derivation and analysis of fermionic RG flows, we give an introductory review of our present understanding of universal long-range behavior in various different theories, ranging from non-relativistic many-body problems to relativistic gauge theories, with an emphasis on scaling behavior of physical observables close to quantum phase transitions (i. e. phase transitions at zero temperature) as well as thermal phase transitions.

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Section: Bosonization and The Momentum Dependence Of Fermion Interactmentioning

confidence: 75%

Section: A Simple Example and The Fierz Ambiguitymentioning

confidence: 99%

Section: Finite Temperaturementioning

confidence: 99%

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Fermion interactions and universal behavior in strongly interacting theories

Braun¹

2012

J. Phys. G: Nucl. Part. Phys.

309

465

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“…Geometry optimizations were performed in redundant internal coordinates without imposing symmetry constraints with the B3LYP functional [13]. The 631-G* basis set [14] was employed for the study of the uncomplexed 2iBu BPMP molecule and the TZVP basis set [15] for the iron complexes. The program NBO 3.0 [16] as implemented in Gaussian 03 was used for subsequent Natural Bond Orbital analyses.…”

Section: Quantum-chemical Calculationsmentioning

confidence: 99%

Stabilizing the Boat Conformation of Piperazines Coordinated to Iron(II): iso‐Butyl Substituents Lead to Robust Oxidation Catalysts via Hyperconjugation

Ostermeier¹,

Limberg²,

Herwig³

et al. 2009

Zeitschrift anorg allge chemie

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A known route to diastereomerically pure diketopiperazines starting from natural amino acids was utilized for the preparation of a chiral, 2,5-di-iso-butyl-substituted 1,4-bis(2-pyridyl-methyl)piperazine, which can serve as a ligand in metal complexes. Whereas it should be possible to extend the procedure described also to derivatives with other amino acid-derived substituents in the 2,5 positions, here two bulky iso-butyl residues were chosen with the aim of stabilizing a tetradentate coordination mode at Fe II atoms thus avoiding coordination polymers. Reaction of the corresponding ligand 2iBu BPMP with FeCl 2 and Fe(OTf) 2 indeed led to the desired complexes ( 2iBu BPMP)FeX 2 (X = Cl, OTf) with the piperazine ring in a boat conformation, as confirmed by single-crystal X-ray diffraction analysis. However, unexpectedly the bulky iso-butyl residues were found in the axial positions. To explain this phenomenon DFT calculations were carried out. The results showed that the most stable conformations of the free ligand contain the piperazine ring in a boat conformation with

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“…One common theme has been the interaction of metals such as platinum or palladium with copper [1,2,3] and bulk alloys of these elements [4]. We present here an investigation of the structure formed by the interaction of sub-monolayer amounts of platinum with a non-close packed surface of fcc copper; the (110).…”

Section: Introductionmentioning

confidence: 99%