Interaction instability of localization in quasiperiodic systems
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 …
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
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 …
site quasiperiodic potential governed by the Fibonacci rule. In the absence of interactions it …
Fractality in nonequilibrium steady states of quasiperiodic systems
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 …
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 …
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
We show that short-range interactions are irrelevant around gapless ground-state
delocalization-localization transitions driven by quasiperiodicity in interacting fermionic …
delocalization-localization transitions driven by quasiperiodicity in interacting fermionic …
Real-space Mott-Anderson electron localization with long-range interactions
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 …
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
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 …
theory of polarization. The central idea is to use the characteristic function (also known as …
Anomalous and regular transport in spin- chains: ac conductivity
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 …
XXZ model with and without integrability-breaking perturbations at high temperatures …
Luttinger liquid phase in the Aubry-André Hubbard chain
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 …
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 …
insulating/metallic behavior of most crystalline solids across the periodic table. By the late …