Thursday was Monopole Day

Here’s an odd coincidence. Thursday, just for fun, I declared it Monopole Day in my facebook status. It was largely because I was prepping a class on Dirac’s ideas about magnetic monopoles (roughly: point sources of magnetic fields analogous to point sources of electric fields), why it seems (from looking at Maxwell’s equations – the defining equations of electricity and magnetism) that Nature might very much like the idea of them (using a symmetry argument – roughly: electric and magnetic fields can turn into each other so if there’s one kind of point source, isn’t it strange that there’s not the other?) but chose to hide them away…

monopole_workIt’s a favourite topic of mine (and many physicists – it is one of the first grown-up tastes of modern ways of thinking about physics that you get as an advanced undergraduate, actually), and so I was excited to lecture about it (as I am every year… I find en excuse to bring monopoles into every course I teach… almost). I even handed out one of my class worksheets, which was all about how to build a monopole (on paper – you take a semi-infinite solenoid (a “Dirac String”) and let the magnetic flux lines spill out of the end) and compute its resulting properties and the consequences of building one (you’d explain the mysterious fact that electric charge is quantized in little discrete packages, for example – you never find particles with say, half the charge of an electron).

Later that day, I went home and checked my facebook chatter and a friend, Philip Shane*, had noticed my status (and/or a followup one on a similar topic) and said:

“…don’t know if this is related, but coincidentally came across this article today: http://physicsworld.com/cws/article/news/40302”

(As usual, beware of the usual amusing and mostly misleading chatter in the comments to the article.)

The title of the article, by Hamish Johnston, is “Magnetic monopoles spotted in spin ices”, based on papers “Dirac Strings and Magnetic Monopoles in Spin Ice Dy2Ti2O7” (Morris, et. al.,) and “Magnetic Coulomb Phase in the Spin Ice Ho2Ti2O7” (Fennell, et. al.).

Note that this came out the very same day I gave the lecture! I love coincidences like that.

A brief word about the physics. No, a “fundamental” monopole has not been spotted. That is not what this is about. In effect, they’ve found an effective monopole configuration. That solenoid configuration I mentioned above? They found that some materials confine flux lines into those very sorts of filaments that Dirac talked about, the endpoints of which then look like monopoles. It is very cute. The difference between these monopoles and a “fundamental” monopole is that in the latter the Dirac strings would be physically undetectable. This is what would then force charge quantization, etc, etc. Not the case here. It is still exciting to see this sort of system create this effective monopole and flux tube configuration. It is an example of one of the kinds of special phases of gauge theories we usually study in work on field theory and string theory, so it is very nice to see it show up in the lab.

-cvj

*Thanks Philip!

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4 Responses to Thursday was Monopole Day

  1. Clifford says:

    Wow!! Thanks. I’m very pleased to hear that. I’m a big Dirac fan too!

    I hope all is well…

    Best,

    -cvj

  2. John says:

    HI, Dr.Johnson.

    (I am not sure whether you remember me)

    When I was in your phys408b class two or three years ago , you also

    gave that probelm. I can clear remember that the Dirac’s idea to the

    monopole blew my mind away. It has been one of my favorite problem

    and fan of Dirac (so to speak) ever since then.

  3. jr says:

    i never did get the symmetry argument
    In a Clifford formulation the electric components
    generate the even subalgebra, and the magnetic are
    bivectors – they are no more on an equal footing
    than linear and angular momentum.

  4. Yvette says:

    One of my professors is particularly obsessed with magnetic monopoles- I asked him once if he could have any question answered in physics what would it be, and he said the monopole.

    We once sent him a heartfelt love note on April Fool’s Day from the magnetic monopole, saying she’d come by but noticed his latest paper on ArXiv showing he was being unfaithful with that asymmetric b:tch of an equation, so she was leaving and never planning to show herself again to him. And by “we” I mean I wrote it and fingered others in the crime too lest I get caught. 😉