Superuniversality from disorder at two-dimensional topological phase transitions

@article{Kang2020SuperuniversalityFD,
  title={Superuniversality from disorder at two-dimensional topological phase transitions},
  author={Byungmin Kang and Siddharth A. Parameswaran and Andrew C. Potter and Romain Vasseur and Snir Gazit},
  journal={Physical Review B},
  year={2020}
}
We investigate the effects of quenched randomness on topological quantum phase transitions in strongly-interacting two-dimensional systems. We focus first on transitions driven by the condensation of a subset of fractionalized quasiparticles (`anyons') identified with `electric charge' excitations of a phase with intrinsic topological order. All other anyons have nontrivial mutual statistics with the condensed subset and hence become confined at the anyon condensation transition. Using a… 

Self-dual criticality in three-dimensional $\mathbb{Z}_2$ gauge theory with matter

Andrés M. Somoza, Pablo Serna, 2 and Adam Nahum Departamento de F́ısica – CIOyN, Universidad de Murcia, Murcia 30.071, Spain Laboratoire de Physique de l’École Normale Supérieure, ENS, Université

Random geometry at an infinite-randomness fixed point

We study the low-energy physics of the critical (2+1)-dimensional random transverse-field Ising model. The one-dimensional version of the model is a paradigmatic example of a system governed by an

Sign-problem-free variant of the complex Sachdev-Ye-Kitaev model

We construct a sign-problem free variant of the complex Sachdev-Ye-Kitaev (SYK) model which keeps all the essential properties of the SYK model, including the analytic solvability in the largeN limit

Numerical evidence of superuniversality of the two-dimensional and three-dimensional random quantum Potts models

The random q-state quantum Potts model is studied on hypercubic lattices in dimensions 2 and 3 using the numerical implementation of the Strong Disorder Renormalization Group introduced by Kovacs and

Topological and symmetry-enriched random quantum critical points

We study how symmetry can enrich strong-randomness quantum critical points and phases, and lead to robust topological edge modes coexisting with critical bulk fluctuations. These are the disordered

Strong-disorder renormalization for interacting non-Abelian anyon systems in two dimensions

We consider the effect of quenched spatial disorder on systems of interacting, pinned non-Abelian anyons as might arise in disordered Hall samples at filling fractions ν=5/2 or ν=12/5. In one spatial

Perturbative instability towards delocalization at phase transitions between MBL phases

We examine the stability of marginally Anderson localized phase transitions between localized phases to the addition of many-body interactions, focusing in particular on the spin-glass to paramagnet

Quantum Critical Scaling of Dirty Bosons in Two Dimensions.

By performing many simulations at different system size L and inverse temperature β close to the quantum critical point, the position of the critical point and the critical exponents, z, ν, and η can be determined independently of any implicit assumptions of the numerical value of z, in contrast to most prior studies.

Infinite-randomness quantum Ising critical fixed points

We examine the ground state of the random quantum Ising model in a transverse field using a generalization of the Ma-Dasgupta-Hu renormalization group (RG) scheme. For spatial dimensionality d=2, we

Floquet quantum criticality

Significance Periodically driven “Floquet” systems are nonequilibrium systems whose time translation symmetry can give rise to a rich dynamical phase structure. In the presence of quenched disorder,

Quantum criticality of hot random spin chains.

It is argued that random-bond Heisenberg chains self-thermalize and that the excited-state entanglement crosses over from volume-law to logarithmic scaling at a length scale that diverges in the Heisenburg limit k→∞.

Classification of Interacting Topological Floquet Phases in One Dimension

Periodic driving of a quantum system can enable new topological phases with no analog in static systems. In this paper we systematically classify one-dimensional topological and symmetry-protected

Critical properties of the superfluid-bose-glass transition in two dimensions.

The probability distribution of the SF response P(lnρSF) displays striking differences across the transition: while it narrows with increasing system sizes L in the SF phase, it broadens in the BG regime, indicating an absence of self-averaging, and at the critical point P(lrSF+zlnL) is scale invariant.

Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach

We study topological phases of interacting systems in two spatial dimensions in the absence of topological order (i.e. with a unique ground state on closed manifolds and no fractional excitations).

Diagnosing deconfinement and topological order

Topological or deconfined phases are characterized by emergent, weakly fluctuating, gauge fields. In condensed matter settings, they inevitably come coupled to excitations that carry the
...