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PRODID:UW-Madison-Physics-Events
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SEQUENCE:0
UID:UW-Physics-Event-9893
DTSTART:20261103T160000Z
DTEND:20261103T170000Z
DTSTAMP:20261024T092029Z
LAST-MODIFIED:20261023T150758Z
LOCATION:3290 Chamberlin
SUMMARY:Parafermions Ex Machina\, Condensed Matter Theory Group Semina
 r\, Steffen Bollmann\, MPI FKF Stuttgart
DESCRIPTION:Motivated by recent observations of fractional Chern insul
 ators (FCIs) in the vicinity of superconducting (SC) phases (e.g. $\\t
 ext{MoTe}_2$)\, we study fractional quantum (anomalous) Hall-supercond
 uctor heterostructures in the presence of U(1) order-parameter fluctua
 tions and particularly focus on the case of $\\nu=2/3$ quantum Hall st
 ates leading to $Z_3$ parafermions. While the emergence of $Z_3$ paraf
 ermions has already been demonstrated in the spin-unpolarized Halperin
  State\, we demonstrate how disorder can also stabilize $ Z_3$ parafer
 mions in the spin-polarized $nu=2/3$ state\, which is expected to be p
 resent in $\\text{MoTe}_2$.<br>\nDue to a broad phase transition betwe
 en the FCI and the superconducting state\, we further study the effect
  of phase fluctuations on the $Z_3$ parafermions\, using field-theoret
 ical methods as well as the density-matrix renormalization group. We f
 ind a rich phase diagram composed of Mott insulating phases and two di
 stinct Luttinger liquids\, whose fundamental excitations carry charges
  2e and 2e/3\, respectively. In agreement with analytical consideratio
 ns using conformal field theory\, we numerically find transitions of B
 erezinskii-Kosterlitz-Thouless (BKT) type as well as a continuous $Z_3
 \\times\\text{U(1)}$ second-order phase transition characterized by ce
 ntral charge c = 9/5.
URL:https://www.physics.wisc.edu/events/?id=9893
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