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SUMMARY:Snir Gazit (Hebrew University)
DTSTART:20220519T081500Z
DTEND:20220519T091500Z
DTSTAMP:20260423T023941Z
UID:NMTP2022/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NMTP2022/14/
 ">Unconventional criticality and Fermi-surface reconstruction without symm
 etry breaking in a simple lattice model of gauge and matter fields.</a>\nb
 y Snir Gazit (Hebrew University) as part of Numerical Methods in Theoretic
 al Physics\n\n\nAbstract\nGauge theories play a central role in the theore
 tical description of unconventional phases of matter that go beyond the st
 andard paradigms of quantum statistical mechanics. While in high-energy ph
 ysics\, gauge fields correspond to fundamental particles\, in condensed ma
 tter theory they are typically emergent and are invoked as an effective de
 scription of the low-energy degrees of freedom. Notable examples include s
 pin-liquids\, doped Mott insulators\, and the fractional Hall effect\, amo
 ng others. In my talk\, I will present a sign-problem free quantum Monte C
 arlo study of a lattice model hosting 'orthogonal' fermions coupled to an 
 Ising-Higgs gauge theory. Our model provides a simple yet highly non-trivi
 al example of electron fractionalization\, which\, crucially\, remains num
 erically tractable. We uncover a particularly rich phase diagram arising f
 rom strong correlations between gauge and matter fields. In particular\, w
 e find that in the background of pi-flux lattice an orthogonal semi-metal 
 (OSM) forms with gapless Dirac fermion excitations. With the tuning of par
 ameters\, the OSM undergoes a confinement transition\, in which symmetry b
 reaking and confinement are coincident. We construct a field-theoretical d
 escription of the transition involving condensation of a matrix Higgs fiel
 d.  The critical theory is predicted to sustain emergent and enlarged loca
 l (gauge) and global symmetries. We provide numerical evidence supporting 
 this prediction.  We also find that the physical (gauge-neutral) spectral 
 function in the OSM phase comprises four fermion pockets\, which smoothly 
 evolve to a 'large' Fermi surface upon approach to a Fermi liquid phase.  
 The reconstruction of the Fermi surface does not involve any form of trans
 lational symmetry breaking\, in violation of the Luttinger sum rule.\n
LOCATION:https://researchseminars.org/talk/NMTP2022/14/
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