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Topological Luttinger Liquids from Decorated Domain Walls
Daniel E Parker, Thomas Scaffidi, Romain Vasseur
We introduce a systematic construction of a gapless symmetry protected topological phase in one dimension by "decorating" the domain walls of Luttinger liquids. The resulting stron…
Logarithmically Slow Relaxation in Quasi-Periodically Driven Random Spin Chains
Philipp T. Dumitrescu, Romain Vasseur, Andrew C. Potter
We simulate the dynamics of a disordered interacting spin chain subject to a quasi-periodic time-dependent drive, corresponding to a stroboscopic Fibonacci sequence of two distinct…
Localization-protected order in spin chains with non-Abelian discrete symmetries
Aaron J. Friedman, Romain Vasseur, Andrew C. Potter +1
We study the non-equilibrium phase structure of the three-state random quantum Potts model in one dimension. This spin chain is characterized by a non-Abelian symmetry recent…
On the correspondence between boundary and bulk lattice models and (logarithmic) conformal field theories
Jonathan Belletête, Azat M. Gainutdinov, Jesper L. Jacobsen +2
The relationship between bulk and boundary properties is one of the founding features of (Rational) Conformal Field Theory. Our goal in this paper is to explore the possibility of…
Gapless Symmetry Protected Topological Order
Thomas Scaffidi, Daniel E. Parker, Romain Vasseur
We introduce exactly solvable gapless quantum systems in dimensions that support symmetry protected topological (SPT) edge modes. Our construction leads to long-range entangled…
Non-scalar operators for the Potts model in arbitrary dimension
Romain Couvreur, Jesper Lykke Jacobsen, Romain Vasseur
We investigate the operator content of the Q-state Potts model in arbitrary dimension, using the representation theory of the symmetric group. In particular we construct all possib…