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Unified theory of interacting Dirac fermions in two dimensions

Igor Herbut (Simon Fraser University)

BME F épület, 2. emelet, 13-as terem
2026. 04. 28. - 14:30

MEGHÍVÓ

a Szilárd Leó-Kollokvium előadására:

Igor Herbut (Simon Fraser University)
“Unified theory of interacting Dirac fermions in two dimensions (and the dark side of the Gross-Neveu model)"

Kivonat:  Quasi-relativistic gapless (or "massless") Dirac fermions appear as low-energy excitations in many condensed matter systems of recent interest.  They are often weakly interacting, as famously in graphene, but at stronger interactions they can also acquire a gap ("mass") and exhibit many ordered ground states by going through phase transitions at which gapless Dirac fermions play a crucial role. Prime example of this occurs in the Hubbard model on honeycomb lattice at half filling, which suffers a "relativistic Mott transition" from gapless semimetal  to gapped insulator, believed to be observed recently in twisted multilayers.

I will discuss the recent attempt of unification of all order parameters for Dirac systems in two dimensions based on large but somewhat hidden orthogonal symmetry of free Dirac fermions. Interestingly, the unique interacting field theory that respects such an orthogonal symmetry turns out to be equivalent to the celebrated Gross-Neveu model.  I will argue that, in spite of recently turning 50, this model still has a large, unexplored, and surprisingly interesting region of its coupling constant.  Recent analytical and numerical results relevant to this "dark side" of the Gross-Neveu model will be presented.

Helye: BME Fizikai Intézet, Fizika Tanszék 
Budafoki út 8. F-épület, 2. emelet, 13-as terem

Ideje: 2026. április 28. (kedd), 14:30. 
Kapunyitás 14:14-től. 
Program: http://physics.bme.hu/kollokvium

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