20,230 research outputs found
The Berry curvature of the Bogoliubov quasiparticle Bloch states in the unconventional superconductor SrRuO
We will extend the concept of electron band Berry curvatures to
superconducting materials. We show that this can be defined for the
Bogoliubov-de Gennes equation describing the superconducting state in a
periodic crystal. In addition, the concept is exploited to understand the
driving mechanism for the optical Kerr effect in time reversal symmetry
breaking superconductors. Finally, we establish a sum rule analogue to the
normal state Hall sum rule making quantitative contact between the imaginary
part of the optical conductivity and the Berry curvature. The general theory
will be applied and tested against the drosophila of the p-wave paired
materials SrRuO
Forget What?
One of a set of 3 cartoons, by James F. Martin, this one c. 1964. Depicts black male, with caption: Forget What?. In this print, there is a rendering of a black male wearing a Confederate grey hat and a Union blue coat. The figure is depicted as having a cane in his left hand. The person appears to be facing the center of the page.https://scholarsjunction.msstate.edu/fvw-artifacts/2412/thumbnail.jp
The Bankruptcy Amendments and Federal Judgeship Act of 1984: A Step Backward in Reducing Jurisdictional Delay, 19 J. Marshall L. Rev. 219 (1985)
Letter from James Martin to Representative Burdick Regarding Garrison Dam Pool Level and Proposed Land Sales, February 16, 1955
This letter, dated February 16, 1955, from James F. Martin of the Buford Trenton East Valley Land Owners to United States (US) Representative Usher Burdick opens by stating that the land owners of the East Valley of the Buford-Trenton Irrigation Project are opposed to the proposed higher pool level for the Garrison Dam reservoir and dikes that would go with it.
Martin then proposes that Congress buy the lands that the dikes would protect, as they could be had for the one third the cost of constructing dikes to protect them, and are not worth the expense of the dike system that is planned to protect them.
There is a handwritten note on the back of the letter.
See also:
Letter from Representative Burdick to James Martin Regarding Garrison Dam Pool Level, February 18, 1955https://commons.und.edu/burdick-papers/1303/thumbnail.jp
Subgroups of direct products of limit groups
If are limit groups and is of
type \FP_n(\mathbb Q) then contains a subgroup of finite index that is
itself a direct product of at most limit groups. This settles a question of
Sela.Comment: 20 pages, no figures. Final version. Accepted by the Annals of
Mathematic
Challenges in Reconciling Different Views of Neuroanatomy in a Reference Ontology of Anatomy
A fundamental requirement for integrating neuroscience data is a well-structured ontology that can incorporate, accommodate and reconcile different neuroanatomical views. Here we describe the challenges in creating such ontology, and, because of its principled design, illustrate the potential of the Foundational Model of Anatomy to be that ontology
The Kerr rotation in the unconventional superconductor SrRuO
The interpretation of Kerr rotation measurements in the superconducting phase
of SrRuO is a controversial topic. Both intrinsic and extrinsic
mechanisms have been proposed, and it has been argued that the intrinsic
response vanishes by symmetry. We focus on the intrinsic contribution and
clarify several conflicting results in the literature. On the basis of symmetry
considerations and detailed calculations we show that the intrinsic Kerr signal
is not forbidden in a general multi- band system but has a rich structure in
the near infrared regime. We distinguish different optical transitions
determined by the superconducting gap (far infrared) and the inter orbital
coupling of the normal state (near infrared). We argue that the low frequency
transitions do not contribute to the Hall conductivity while only the
inter-orbital transitions in the near infrared regime contribute. Finally, we
discuss the difficulties to connect the calculations for the optical Hall
conductivity to the experimental measurement of the Kerr angle. We will compare
different approximations which might lead to conflicting results.Comment: 9 pages, 8 figures, 1 tabl
On the finite presentation of subdirect products and the nature of residually free groups
We establish {\em{virtual surjection to pairs}} (VSP) as a general criterion
for the finite presentability of subdirect products of groups: if
are finitely presented and
projects to a subgroup of finite index in
each , then is finitely presentable, indeed there
is an algorithm that will construct a finite presentation for .
We use the VSP criterion to characterise the finitely presented residually
free groups. We prove that the class of such groups is recursively enumerable.
We describe an algorithm that, given a finite presentation of a residually free
group, constructs a canonical embedding into a direct product of finitely many
limit groups. We solve the (multiple) conjugacy problem and membership problem
for finitely presentable subgroups of residually free groups. We also prove
that there is an algorithm that, given a finite generating set for such a
subgroup, will construct a finite presentation.
New families of subdirect products of free groups are constructed, including
the first examples of finitely presented subgroups that are neither
nor of Stallings-Bieri typeComment: 44 pages. To appear in American Journal of Mathematics. This is a
substantial rewrite of our previous Arxiv article 0809.3704, taking into
account subsequent developments, advice of colleagues and referee's comment
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