Interaction instability of localization in quasiperiodic systems

M Žnidarič, M Ljubotina - Proceedings of the National …, 2018 - National Acad Sciences
Integrable models form pillars of theoretical physics because they allow for full analytical
understanding. Despite being rare, many realistic systems can be described by models that …

Diffusive transport in a quasiperiodic Fibonacci chain: Absence of many-body localization at weak interactions

VK Varma, M Žnidarič - Physical Review B, 2019 - APS
We study high-temperature magnetization transport in a many-body spin-1/2 chain with on-
site quasiperiodic potential governed by the Fibonacci rule. In the absence of interactions it …

Fractality in nonequilibrium steady states of quasiperiodic systems

VK Varma, C de Mulatier, M Žnidarič - Physical Review E, 2017 - APS
We investigate the nonequilibrium response of quasiperiodic systems to boundary driving. In
particular, we focus on the Aubry-André-Harper model at its metal-insulator transition and …

Scaling of the bulk polarization in extended and localized phases of a quasiperiodic model

B Hetényi - Physical Review B, 2024 - APS
We study the finite size scaling of the bulk polarization in a quasiperiodic (Aubry-André)
model using the geometric analog of the Binder cumulant. As a proof of concept, we show …

Short-range interactions are irrelevant at the quasiperiodicity-driven Luttinger liquid to Anderson glass transition

M Gonçalves, JH Pixley, B Amorim, EV Castro… - Physical Review B, 2024 - APS
We show that short-range interactions are irrelevant around gapless ground-state
delocalization-localization transitions driven by quasiperiodicity in interacting fermionic …

Real-space Mott-Anderson electron localization with long-range interactions

A Marie, DP Kooi, J Grossi, M Seidl, ZH Musslimani… - Physical Review …, 2022 - APS
Real materials always contain, to some extent, randomness in the form of defects or
irregularities. It is known since the seminal work of Anderson that randomness can drive a …

Scaling and renormalization in the modern theory of polarization: Application to disordered systems

B Hetényi, S Parlak, M Yahyavi - Physical Review B, 2021 - APS
We develop a scaling theory and a renormalization technique in the context of the modern
theory of polarization. The central idea is to use the characteristic function (also known as …

Anomalous and regular transport in spin- chains: ac conductivity

RJ Sánchez, VK Varma, V Oganesyan - Physical Review B, 2018 - APS
We study magnetization transport in anisotropic spin-1 2 chains governed by the integrable
XXZ model with and without integrability-breaking perturbations at high temperatures …

Luttinger liquid phase in the Aubry-André Hubbard chain

R Chi, JJ Yu, C Murthy, T **ang - Physical Review B, 2024 - APS
We study the interplay between an on-site Hubbard repulsion and quasiperiodic potential in
one-dimensional fermion chains using the density matrix renormalization group. We find …

Theory of the insulating state

R Resta - La Rivista del Nuovo Cimento, 2018 - Springer
All undergraduates learn that Bloch theorem and band structure explain the
insulating/metallic behavior of most crystalline solids across the periodic table. By the late …