Agrawal, Utkarsh | Search NASA

DOE OSTI2020

Quantum Criticality in the 2D Quasiperiodic Potts Model

Quantum critical points in quasiperiodic magnets can realize new universality classes, with critical properties distinct from those of clean or disordered systems. Here, we study quantum phase transitions separating ferromagnetic and paramagnetic phases in the quasiperiodic q-state Potts model in 2+1D. Using a controlled real-space renormalization group approach, we find that the critical behavior is largely independent of q, and is controlled by an infinite-quasiperiodicity fixed point. In conclusion, the correlation length exponent is found to be ν = 1, saturating a modified version of the Harris-Luck criterion.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

DOE OSTI2020

Anomalous low-frequency conductivity in easy-plane XXZ spin chains

Using the framework of generalized hydrodynamics, we compute here the low-frequency spin conductivity σ ( ω ) of XXZ spin chains with easy-plane anisotropy. We find that for almost all values of the anisotropy - 1 < Δ < 1 , the low-frequency conductivity scales anomalously with frequency, as σ ( ω ) ~ 1 / ω . We interpret this anomalous response as a consequence of quasiparticles undergoing Lévy flights. For special values of the anisotropy, the divergence is cut off at low frequencies, so σ ( ω ) has a finite dc limit. These results reveal a hitherto unknown mechanism for anomalous response in integrable systems and also provide a physical explanation of the discontinuous behavior of the spin Drude weight. We use our method to recover that at the isotropic point Δ = 1 , σ ( ω ) ~ ω - 1 / 3 . We support our results with extensive numerical studies using matrix-product operator methods.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗