Results 31 to 40 of about 3,896 (261)
Embeddings, Operator Ranges, and Dirac Operators [PDF]
The authors continue the study of induced Krein spaces initiated in [\textit{P. Cojuhari} and \textit{A. Gheondea}, J. Oper. Theory 61, No. 2, 347--367 (2009; Zbl 1174.47016)]. The authors introduce the notion of a closely embedded Krein space, which can be considered as a generalization of the concept of closely embedded Hilbert spaces [\textit{P ...
Cojuhari, P., Gheondea, A.
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To appear in the Proceedings of the Quantum Groups And Integrable Systems meeting in Prag, June 22-24 2000.
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LATTICE CALCULATIONS ON THE SPECTRUM OF DIRAC AND DIRAC–KÄHLER OPERATORS [PDF]
We use a lattice formulation to study the spectra of the Dirac and the Dirac–Kähler operators on the 2-sphere. This lattice formulation uses differentiation matrices which yield exact values for the derivatives of polynomials, preserving the Leibniz rule in subspaces of polynomials of low degree and therefore, this formulation can be used to study the
Campos, Rafael G. +2 more
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The microscopic dirac operator spectrum [PDF]
We review the exact results for microscopic Dirac operator spectra based on either Random Matrix Theory, or, equivalently, chiral Lagrangians. Implications for lattice calculations are discussed.
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Dirac Operator on Embedded Hypersurfaces [PDF]
New extrinsic lower bounds are given for the classical Dirac operator on the boundary of a compact domain of a spin manifold. The main tool is to solve some boundary problems for the Dirac operator of the domain under boundary conditions of Atiyah-Patodi-Singer type.
Hijazi, Oussama +2 more
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This work presents a programmable atomic engineering strategy for 2D materials using Å‐scale nanoreactors formed by bilayer graphene (BLG) intercalation. A new class of alkali‐iron‐chloride compounds, along with lateral heterostructures composed of monolayer alkali halides and iron chlorides, is revealed.
Haiming Sun +6 more
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Magnetic doping of the topological insulator Bi2Te3 with erbium adatoms induces out‐of‐plane magnetism and breaks time‐reversal symmetry, opening a Dirac gap and driving a Fermi surface transition from hexagonal to star‐of‐David geometry. Microscopy, spectroscopy, and magnetic dichroism reveal atomically controlled magnetic interactions that tailor the
Beatriz Muñiz Cano +18 more
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Resolving the Structural Duality of Graphene Grain Boundaries
Cantilever ncAFM resolves the atomic structure of grain boundaries in graphene, revealing coexisting stable and metastable types. Both contain pentagon/heptagon defects, but metastable GBs show irregular geometries. Modeling shows metastable GBs form under compression, exhibiting vertical corrugation, while stable GBs are flat.
Haojie Guo +11 more
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Spin‐Split Edge States in Metal‐Supported Graphene Nanoislands Obtained by CVD
Combining STM measurements and ab‐initio calculations, we show that zig‐zag edges in graphene nanoislands grown on Ni(111) by CVD retrieve their spin‐polarized edge states after intercalation of a few monolayers of Au. ABSTRACT Spin‐split states localized on zigzag edges have been predicted for different free‐standing graphene nanostructures.
Michele Gastaldo +6 more
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