# Many‐body localization in incommensurate models with a mobility edge

@article{Deng2016ManybodyLI, title={Many‐body localization in incommensurate models with a mobility edge}, author={Dong-Ling Deng and Sriram Ganeshan and Xiaopeng Li and Ranjan Modak and Subroto Mukerjee and Jedediah H. Pixley}, journal={Annalen der Physik}, year={2016}, volume={529} }

We review the physics of many‐body localization in models with incommensurate potentials. In particular, we consider one‐dimensional quasiperiodic models with single‐particle mobility edges. A conventional perspective suggests that delocalized states act as a thermalizing bath for the localized states in the presence of of interactions. However, contrary to this intuition there is evidence that such systems can display non‐ergodicity. This is in part due to the fact that the delocalized states…

## 36 Citations

### In search of a many-body mobility edge with matrix product states in a Generalized Aubry-Andr\'e model with interactions

- Physics
- 2020

We investigate the possibility of a many-body mobility edge in the Generalized Aubry-Andre (GAA) model with interactions using the Shift-Invert Matrix Product States (SIMPS) algorithm (Phys. Rev.…

### Diagnostics of nonergodic extended states and many body localization proximity effect through real-space and Fock-space excitations

- Physics
- 2022

We provide real-space and Fock-space (FS) characterizations of ergodic, nonergodic extended (NEE) and many-body localized (MBL) phases in an interacting quasiperiodic system, namely generalized…

### Many-body localization as a $d = \infty$ Anderson localization with correlated disorder

- Physics
- 2019

The disordered many-body systems can undergo a transition from the extended ensemble to a localized ensemble, known as many-body localization (MBL), which has been intensively explored in recent…

### Criterion for the occurrence of many-body localization in the presence of a single-particle mobility edge

- Physics
- 2018

Non-interacting fermions in one dimension can undergo a localization-delocalization transition in the presence of a quasi-periodic potential as a function of that potential. In the presence of…

### Investigating many-body mobility edges in isolated quantum systems

- PhysicsPhysical Review B
- 2019

The existence of many-body mobility edges in closed quantum systems has been the focus of intense debate after the emergence of the description of the many-body localization phenomenon. Here we…

### Mobility edge and multifractality in a periodically driven Aubry-André model

- Physics
- 2021

We study the localization-delocalization transition of Floquet eigenstates in a driven fermionic chain with an incommensurate Aubry-André potential and a hopping amplitude which is varied…

### Signatures of rare states and thermalization in a theory with confinement

- PhysicsPhysical Review B
- 2019

There is a dichotomy in the nonequilibrium dynamics of quantum many-body systems. In the presence of integrability, expectation values of local operators equilibrate to values described by a…

### Many-body dynamics in long-range hopping models in the presence of correlated and uncorrelated disorder

- PhysicsPhysical Review Research
- 2020

Much have been learned about universal properties of entanglement entropy (EE) and participation ration (PR) for Anderson localization. We find a new sub-extensive scaling with system size of the…

### Observation of Interaction-Induced Mobility Edge in an Atomic Aubry-André Wire.

- Education, PhysicsPhysical review letters
- 2022

A mobility edge, a critical energy separating localized and extended excitations, is a key concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm for exploring quantum…

### Signatures of multifractality in a periodically driven interacting Aubry-André model

- PhysicsPhysical Review B
- 2022

We study the many-body localization (MBL) transition of Floquet eigenstates in a driven, interacting fermionic chain with an incommensurate Aubry-André potential and a time-periodic hopping amplitude…

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