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Title: Winding numbers of nodal points in Fe-based superconductors

Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
Grant/Contract Number:
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 9; Related Information: CHORUS Timestamp: 2018-03-05 08:29:49; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Chichinadze, Dmitry V., and Chubukov, Andrey V.. Winding numbers of nodal points in Fe-based superconductors. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.094501.
Chichinadze, Dmitry V., & Chubukov, Andrey V.. Winding numbers of nodal points in Fe-based superconductors. United States. doi:10.1103/PhysRevB.97.094501.
Chichinadze, Dmitry V., and Chubukov, Andrey V.. 2018. "Winding numbers of nodal points in Fe-based superconductors". United States. doi:10.1103/PhysRevB.97.094501.
title = {Winding numbers of nodal points in Fe-based superconductors},
author = {Chichinadze, Dmitry V. and Chubukov, Andrey V.},
abstractNote = {},
doi = {10.1103/PhysRevB.97.094501},
journal = {Physical Review B},
number = 9,
volume = 97,
place = {United States},
year = 2018,
month = 3

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on March 5, 2019
Publisher's Accepted Manuscript

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  • Cited by 7
  • The role which gauge transformations of noninteger winding numbers might play in non-Abelian gauge theories is studied. The phase factor acquired by the semiclassical physical states in an arbitrary background gauge field when they undergo a gauge transformation of an arbitrary real winding number is calculated in the path integral formalism assuming that a {theta}{ital F{tilde F}} term added to the Lagrangian plays the same role as in the case of integer winding numbers. Requiring that these states provide a representation of the group of {open_quote}{open_quote}large{close_quote}{close_quote} gauge transformations, a condition on the allowed backgrounds is obtained. It is shown thatmore » this representability condition is only satisfied in the monopole sector of a spontaneously broken gauge theory, but not in the vacuum sector of an unbroken or a spontaneously broken non-Abelian gauge theory. It is further shown that the recent proof of the vanishing of the {theta} parameter when gauge transformations of arbitrary fractional winding numbers are allowed breaks down in precisely those cases where the representability condition is obeyed because certain gauge transformations needed for the proof, and whose existence is assumed, are either spontaneously broken or cannot be globally defined as a result of a topological obstruction. {copyright} {ital 1996 The American Physical Society.}« less
  • Previous renormalization analyses have demonstrated universal properties for the quasiperiodic transition to chaos. These theories have the unpleasant feature that universal properties depend on the winding number. We modify the renormalization transformation so that it has stable attractors. This allows us to study nonlocal properties by solving the equations numerically without linearizing. The resulting universal strange attractor contains the unstable fixed points of previous theories and has exponents that are independent of winding number.
  • We make a detailed study of the moduli space of winding number two (k=2) axially symmetric vortices (or equivalently, of coaxial composite of two fundamental vortices), occurring in U(2) gauge theory with two flavors in the Higgs phase, recently discussed by Hashimoto and Tong and by Auzzi, Shifman, and Yung. We find that it is a weighted projective space WCP{sub (2,1,1)}{sup 2}{approx_equal}CP{sup 2}/Z{sub 2}. This manifold contains an A{sub 1}-type (Z{sub 2}) orbifold singularity even though the full moduli space including the relative position moduli is smooth. The SU(2) transformation properties of such vortices are studied. Our results are thenmore » generalized to U(N) gauge theory with N flavors, where the internal moduli space of k=2 axially symmetric vortices is found to be a weighted Grassmannian manifold. It contains singularities along a submanifold.« less