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Sutcliffe, P.M. (2018) 'Hopfions.', in Ludwig Faddeev memorial volume : a life in mathematical physics. New Jersey: World Scientific, pp. 539-547.


More than 40 years ago, Faddeev proposed the existence of three-dimensional topological solitons classified by the integer-valued Hopf invariant. These solitons are now known as hopfions and have been investigated in a range of systems, including the original model suggested by Faddeev, where a variety of stable knot and link solutions have been computed numerically. Very recently, numerical computations have predicted the existence of nanoscale hopfions in frustrated magnets and experiments have realized micrometer-sized hopfions in chiral ferromagnetic fluids. All these examples of hopfions will be described and their similarities and differences discussed.

Item Type:Book chapter
Full text:Publisher-imposed embargo
(AM) Accepted Manuscript
File format - PDF
Publisher Web site:
Publisher statement:Need to contact publisher again in June 2019. Even though published, keep the status of this record as 'Forthcoming' so we don't lose sight of it. [HE 24/04/2018] Mon 23/04/2018 09:12 Ning Tu <> Dear Heather Ewington This title will only be published by us end of next month. We will be requiring a minimum one-year embargo period for any published book chapter to be uploaded onto the repository site. Kindly approach us again sometime next June. Thanks & regards Tu Ning
Date accepted:11 April 2018
Date deposited:12 April 2018
Date of first online publication:21 May 2018
Date first made open access:No date available

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