Publications related to Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

A Natural Helical Crystal Lattice Model for Carbon Nanotubes

We propose a novel helical crystal lattice model for chiral and achiral carbon nanotubes (CNTs) where the unit cell and the helical crystal vector are defined in a unique and systematic manner for arbitrary CNTs. The small unit cell of this helical crystal ...

Amer Chemical Soc2013

Full range of blow up exponents for the quintic wave equation in three dimensions

Joachim Krieger

For the critical focusing wave equation

\square u=u^5

on

\mathbb{R}^{3+1}

in the radial case, we prove the existence of type II blow up solutions with scaling parameter

\lambda(t)=t^{-1\nu}

for all

\nu>0

. This extends the previous work by the autho ...

Elsevier2012

Size effect in ferroelectrics: Competition between geometrical and crystalline symmetries

Nava Setter, Alexander Tagantsev, Jin Wang

Size effect in ferroelectrics is treated as a competition between the geometrical symmetry of the ferroelectric sample and its crystalline symmetry. Polarization rotation is shown to be a clear finite size effect that results from this competition, which c ...

2011

Overview of toroidal momentum transport

Basil Duval, Yann Camenen, Alessandro Bortolon, Giovanni Tardini

Toroidal momentum transport mechanisms are reviewed and put in a broader perspective. The generation of a finite momentum flux is closely related to the breaking of symmetry (parity) along the field. The symmetry argument allows for the systematic identifi ...

2011

Overview of toroidal momentum transport

Basil Duval, Yann Camenen, Alessandro Bortolon, Lucia Isabel Federspiel, Giovanni Tardini

Toroidal momentum transport mechanisms are reviewed and put in a broader perspective. The generation of a finite momentum flux is closely related to the breaking of symmetry (parity) along the field. The symmetry argument allows for the systematic identifi ...

2011

Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice

Frédéric Mila, Jean-David Picon, Tommaso Coletta

Motivated by the current interest in the quantum dimer model on the triangular lattice, we investigate the phase diagram of the closely related fully frustrated transverse-field Ising model on the honeycomb lattice using classical and semiclassical approxi ...

2011

Maximal symmetrization and reduction of fields: Application to wave functions in solid-state nanostructures

Marc-André Dupertuis, Sascha Dalessi

A general formalism for the maximal symmetrization and reduction of fields (MSRFs) is proposed and applied to wave functions in solid-state nanostructures. Its primary target is to provide an essential tool for the study and analysis of the electronic and ...

2010

Broken symmetries in macromolecular crystallography: phasing from unmerged data

The space-group symmetry of a crystal structure imposes a point-group symmetry on its diffraction pattern, giving rise to so-called symmetry-equivalent reflections. Instances in macromolecular crystallography are discussed in which the symmetry in reciproc ...

International Union of Crystallography2010

The role of the tangent bundle for symmetry operations and modulated structures

Gervais Chapuis, Kurt Schenk, Philippe Kocian

An equivalence relation on the tangent bundle of a manifold is defined in order to extend a structure (modulated or not) onto it. This extension affords a representation of a structure in any tangent space and that in another tangent space can easily be de ...

2010

The Momentum Map, Symplectic Reduction and an Introduction to Brownian Motion

The underlying goal of this Master's thesis is of laying down, in so far as possible, the foundations for later work in Geometric Stochastic Mechanics. The first part is a presentation of symplectic reduction, going through the momentum map and culminating ...

2010

Bloch theorem with revised boundary conditions applied to glide and screw symmetric, quasi-one-dimensional structures

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A Natural Helical Crystal Lattice Model for Carbon Nanotubes

Full range of blow up exponents for the quintic wave equation in three dimensions

Size effect in ferroelectrics: Competition between geometrical and crystalline symmetries

Overview of toroidal momentum transport

Overview of toroidal momentum transport

Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice

Maximal symmetrization and reduction of fields: Application to wave functions in solid-state nanostructures

Broken symmetries in macromolecular crystallography: phasing from unmerged data

The role of the tangent bundle for symmetry operations and modulated structures

The Momentum Map, Symplectic Reduction and an Introduction to Brownian Motion

The Momentum Map, Symplectic Reduction and an Introduction to Brownian Motion

Full range of blow up exponents for the quintic wave equation in three dimensions

Phase diagram of the fully frustrated transverse-field Ising model on the honeycomb lattice

Broken symmetries in macromolecular crystallography: phasing from unmerged data

The role of the tangent bundle for symmetry operations and modulated structures

Size effect in ferroelectrics: Competition between geometrical and crystalline symmetries

Overview of toroidal momentum transport

Overview of toroidal momentum transport

Maximal symmetrization and reduction of fields: Application to wave functions in solid-state nanostructures

A Natural Helical Crystal Lattice Model for Carbon Nanotubes