6,671 research outputs found
First Principles Studies on 3-Dimentional Strong Topological Insulators: Bi2Te3, Bi2Se3 and Sb2Te3
Bi2Se3, Bi2Te3 and Sb2Te3 compounds are recently predicted to be
3-dimentional (3D) strong topological insulators. In this paper, based on
ab-initio calculations, we study in detail the topological nature and the
surface states of this family compounds. The penetration depth and the
spin-resolved Fermi surfaces of the surface states will be analyzed. We will
also present an procedure, from which highly accurate effective Hamiltonian can
be constructed, based on projected atomic Wannier functions (which keep the
symmetries of the systems). Such Hamiltonian can be used to study the
semi-infinite systems or slab type supercells efficiently. Finally, we discuss
the 3D topological phase transition in Sb2(Te1-xSex)3 alloy system.Comment: 8 pages,17 figure
Bumpless pipe dreams meet Puzzles
Knutson and Zinn-Justin recently found a puzzle rule for the expansion of the
product of two double
Grothendieck polynomials indexed by permutations with separated descents. We
establish its triple Schubert calculus version in the sense of Knutson and Tao,
namely, a formula for expanding in different secondary variables. Our rule is formulated
in terms of pipe puzzles, incorporating both the structures of bumpless pipe
dreams and classical puzzles. As direct applications, we recover the
separated-descent puzzle formula by Knutson and Zinn-Justin (by setting )
and the bumpless pipe dream model of double Grothendieck polynomials by
Weigandt (by setting and ). Moreover, we utilize the
formula to partially confirm a positivity conjecture of Kirillov about applying
a skew operator to a Schubert polynomial
Entanglement, subsystem particle numbers and topology in free fermion systems
We study the relationship between bipartite entanglement, subsystem particle
number and topology in a half-filled free fermion system. It is proposed that
the spin-projected particle numbers can distinguish the quantum spin Hall state
from other states, and can be used to establish a new topological index for the
system. Furthermore, we apply the new topological invariant to a disordered
system and show that a topological phase transition occurs when the disorder
strength is increased beyond a critical value. It is also shown that the
subsystem particle number fluctuation displays behavior very similar to that of
the entanglement entropy. This provides a lower-bound estimation for the
entanglement entropy, which can be utilized to obtain an estimate of the
entanglement entropy experimentally.Comment: 14 pages, 6 figure
Coupled node similarity learning for community detection in attributed networks
© 2018 by the authors. Attributed networks consist of not only a network structure but also node attributes. Most existing community detection algorithms only focus on network structures and ignore node attributes, which are also important. Although some algorithms using both node attributes and network structure information have been proposed in recent years, the complex hierarchical coupling relationships within and between attributes, nodes and network structure have not been considered. Such hierarchical couplings are driving factors in community formation. This paper introduces a novel coupled node similarity (CNS) to involve and learn attribute and structure couplings and compute the similarity within and between nodes with categorical attributes in a network. CNS learns and integrates the frequency-based intra-attribute coupled similarity within an attribute, the co-occurrence-based inter-attribute coupled similarity between attributes, and coupled attribute-to-structure similarity based on the homophily property. CNS is then used to generate the weights of edges and transfer a plain graph to a weighted graph. Clustering algorithms detect community structures that are topologically well-connected and semantically coherent on the weighted graphs. Extensive experiments verify the effectiveness of CNS-based community detection algorithms on several data sets by comparing with the state-of-the-art node similarity measures, whether they involve node attribute information and hierarchical interactions, and on various levels of network structure complexity
A Pieri type formula for motivic Chern classes of Schubert cells in Grassmannians
We prove a Pieri formula for motivic Chern classes of Schubert cells in the
equivariant K-theory of Grassmannians, which is described in terms of ribbon
operators on partitions. Our approach is to transform the Schubert calculus
over Grassmannians to the calculation in a certain affine Hecke algebra. As a
consequence, we derive a Pieri formula for Segre motivic classes of Schubert
cells in Grassmannians. We apply the Pieri formulas to establish a relation
between motivic Chern classes and Segre motivic classes, extending a well-known
relation between the classes of structure sheaves and ideal sheaves. As another
application, we find a symmetric power series representative for the class of
the dualizing sheaf of a Schubert variety
Higgs algebraic symmetry of screened system in a spherical geometry
The orbits and the dynamical symmetries for the screened Coulomb potentials
and isotropic harmonic oscillators have been studied by Wu and Zeng [Z. B. Wu
and J. Y. Zeng, Phys. Rev. A 62,032509 (2000)]. We find the similar properties
in the responding systems in a spherical space, whose dynamical symmetries are
described by Higgs Algebra. There exists a conserved aphelion and perihelion
vector, which, together with angular momentum, constitute the generators of the
geometrical symmetry group at the aphelia and perihelia points .Comment: 8 pages, 1 fi
The three dimensional simulating study of the flow and heat transfer in detached vehucular cooling-compartment
Papers presented to the 11th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, South Africa, 20-23 July 2015.To explore the internal flow distributions and heat transfer mechanism in detached cooling-compartment, two three-
dimensional models both including the heat exchangers and a
full-sized fan model were established and analyzed in this paper. According to the study, the opposite model, on which the heat exchangers were located separately and close to the inlets, was
considered to be more efficient. Besides, the opposite arrangement in detached cooling-department offered the possibility to control the mass flow on each heat exchanger
independently, which could further increase the cooling
efficiency. It deserves more attentions in the future.This study was supported by an NSFC grant (No.51206141)
awarded to the first author.am201
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