542,584 research outputs found
Compact homogeneous lcK manifolds are Vaisman
We prove that any compact homogeneous locally conformally K\"ahler manifold
has parallel Lee form.Comment: 6 pages; final version, to appear in Math. An
Possible Triplet Electron Pairing and an Anisotropic Spin Susceptibility in Organic Superconductors (TMTSF)_2 X
We argue that (TMTSF)_2 PF_6 compound under pressure is likely a triplet
superconductor with a vector order parameter d(k) \equiv (d_a(k) \neq 0, d_c(k)
= ?, d_{b'}(k) = 0); |d_a(k)| > |d_c(k)|. It corresponds to an anisotropic spin
susceptibility at T=0: \chi_{b'} = \chi_0, \chi_a \ll \chi_0, where \chi_0 is
its value in a metallic phase. [The spin quantization axis, z, is parallel to a
so-called b'-axis]. We show that the suggested order parameter explains why the
upper critical field along the b'-axis exceeds all paramagnetic limiting
fields, including that for a nonuniform superconducting state, whereas the
upper critical field along the a-axis (a \perp b') is limited by the Pauli
paramagnetic effects [I. J. Lee, M. J. Naughton, G. M. Danner and P. M.
Chaikin, Phys. Rev. Lett. 78, 3555 (1997)]. The triplet order parameter is in
agreement with the recent Knight shift measurements by I. J. Lee et al. as well
as with the early results on a destruction of superconductivity by nonmagnetic
impurities and on the absence of the Hebel-Slichter peak in the NMR relaxation
rate.Comment: 4 pages, 1 eps figur
Exact partition function in ABJM theory deformed by mass and Fayet-Iliopoulos terms
We exactly compute the partition function for ABJM
theory on deformed by mass and Fayet-Iliopoulos parameter
. For , the partition function has an infinite number of
Lee-Yang zeros. For general , in the decompactification limit the theory
exhibits a quantum (first-order) phase transition at .Comment: 11 pages, 1 figure. v2: references adde
On the nonlinear statistics of range image patches
In [A. B. Lee, K. S. Pedersen, and D. Mumford, Int. J. Comput. Vis., 54 (2003), pp. 83–103], the authors study the distributions of 3 × 3 patches from optical images and from range images. In [G. Carlsson, T. Ishkanov, V. de Silva, and A. Zomorodian, Int. J. Comput. Vis., 76 (2008), pp.
1–12], the authors apply computational topological tools to the data set of optical patches studied by Lee, Pedersen, and Mumford and find geometric structures for high density subsets. One high density subset is called the primary circle and essentially consists of patches with a line separating a light and a dark region. In this paper, we apply the techniques of Carlsson et al. to range patches.
By enlarging to 5×5 and 7×7 patches, we find core subsets that have the topology of the primary circle, suggesting a stronger connection between optical patches and range patches than was found by Lee, Pedersen, and Mumford
Scaling Relations in the Vortex State of Nodal Superconductors
In contrast to multigap superconductors (e.g. MgB), the low-temperature
properties of nodal superconductors are dominated by nodal excitations. Here we
extend for a variety of nodal superocnductors the earlier work by Simon and Lee
and K\"ubert and Hirschfeld. The scaling relations seen in the thermodynamics
and the thermal conductivity will provide an unequivocal test of nodal
superconductivity.Comment: 9 pages, 3 figure
Lehan K. Tunks—A Tribute
Lee Tunks came to New Jersey as Dean of the two Rutgers Law Schools (Newark and Camden) in 1953 and served until 1962. Rutgers Law School had been only recently created; it had come into being in 1948 (from the merger of several municipal and private schools) as the law school of the contemporaneously created state university, Rutgers University. Lee\u27s charge and purpose was to build a major state law school. He had to position the school as a high priority claimant upon university resources: to effect large increases in library collection and staff, to break his faculty\u27s salaries free from the university pattern, to acquire research and administrative resources, all of which generated disputes within the university. He led the faculty to decisions that entangled the newly visible public institution in external fights with bar, alumni, or the legislature. There was one year in which Newark admissions standards were so boosted as to cut the entering class by almost 50%, and there was a several-year campaign to drop the school\u27s evening division as beyond its resources. All these disputes were intensified by the dedication and passion with which Lee pressed his positions, but it was the same dedication coupled with a superior tactical sense which saw them mostly won on Lee\u27s terms
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