Results 291 to 300 of about 804,935 (306)

Novel topological invariants and anomalies

Physical Review D, 1987
It is shown that novel topological invariants are associated with a class of Dirac operators. Trace formulas which are similar to but different from Callias's formula are derived. Implications of these topological invariants to anomalies in quantum field theory are discussed.
, Hirayama, , Sugimasa
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Topological Invariants and Corner States for Hamiltonians on a Three-Dimensional Lattice

Communications in Mathematical Physics, 2016
We consider periodic Hamiltonians on a three-dimensional (3-D) lattice with a spectral gap not only on the bulk but also on two edges at the common Fermi level.
Shin Hayashi
semanticscholar   +1 more source

Topological Invariant and Topological Phases

2015
In this chapter, we review several topics for an introduction to topological insulators and the edge states resulting from the bulk-boundary correspondence. In condensed matter physics, researches in terms of topology have been intensively done after the discovery of the quantum Hall effect (von Klitzing et al., Phys Rev Lett 49:494, 1980, [1 ...
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Almost Locally Invariant Topological Groups

Journal of the London Mathematical Society, 1974
Maximally almost periodic groups and locally invariant groups have been studied extensively in the literature. Maximally almost periodic groups are those admitting continuous monomorphisms into compact groups; locally invariant groups are those in which every neighbourhood of the identity contains a neighbourhood invariant under inner automorphisms. In
Ordman, Edward T., Morris, Sidney A.
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Topological Invariants in Braid Theory

Letters in Mathematical Physics, 2001
The author describes some invariants of knots and links making use of integrals over braid paths, instead of the usual techniques from algebraic topology. The simplest such invariant is the winding number, i.e. the net number of times two strings in a braid wrap each other.
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Topological invariance of superconducting arrays

Physical Review B, 1992
We study in an analytical way the response of a Josephson-junction array to an alternating applied current. From the dynamic equation governing the time evolution of the system, an effective Hamiltonian describing the low-temperature stationary state is obtained.
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Topological Invariants

2004
Scott Carter, Seiichi Kamada, Masahico Saito   +2 more
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Topological invariants

2018
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Scaling Properties of Topological Invariants

1990
The formalism of scaling relations between the reduced topological invariants is reviewed. First, the basic concepts of the chemical graph theory, the known approximate formulae for the total π-electron energy and the size extensivity of topological invariants are outlined. The scaling properties of the reduced topological invariants are introduced and
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Invariant measures on topological spaces

1977
The purpose of the present note is to prove some new sufficient conditions for the existence of measures invariant with respect to continuous mappings on topological ...
A. LASOTA, PIANIGIANI, GIULIO
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