Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation

Related tags

Miscellaneouspythonlocalizationphysicsmultifractalsuperconductivitylong-rangeaubry-andre-harper
Overview

Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation

DOI

By Joana Fraxanet, Utso Bhattacharya, Tobias Grass, Maciej Lewenstein and Alexandre Dauphin

Content

This repository contains the code for the paper "Localization and multifractal properties of the long-range Kitaev chain in the presence of an Aubry-André-Harper modulation".

Abstract

In the presence of quasiperiodic potentials, the celebrated Kitaev chain presents an intriguing phase diagram with ergodic, localized and and multifractal states. In this work, we generalize these results by studying the localization properties of the Aubry-André-Harper model in the presence of long-range hopping and superconducting pairing amplitudes. These amplitudes decay with power-law exponents. To this end, we review and compare a toolbox of global and local characterization methods in order to investigate different types of transitions between ergodic, localized and multifractal states. We report energy-dependent transitions from ergodic to multifractal states for pairing terms with a decay exponent smaller than one and energy-dependent transitions from ergodic to localized states with an intermediate multifractal region for a decay exponent larger than one. The size of the intermediate multifractal region depends not only on the value of the superconducting pairing term, but also on the energy band. The transitions are not described by a mobility edge, but instead we report hybridization of bands with different types of localization properties. This leads to coexisting multifractal regimes where fractal dimensions follow different distributions.

  • The notebook data.ipynb, you can find the code that creates the data for the figures of the paper.
  • The figures of the paper can be generated from figures.ipynb.
You might also like...
An awesome list of AI for art and design - resources, and popular datasets and how we may apply computer vision tasks to art and design.
An awesome list of AI for art and design - resources, and popular datasets and how we may apply computer vision tasks to art and design.

Awesome AI for Art & Design An awesome list of AI for art and design - resources, and popular datasets and how we may apply computer vision tasks to a

Margaret Maynard-Reid 20 Dec 21, 2022
Built with Python programming language and QT library and Guess the number in three easy, medium and hard rolls
Built with Python programming language and QT library and Guess the number in three easy, medium and hard rolls

guess-the-numbers Built with Python programming language and QT library and Guess the number in three easy, medium and hard rolls Number guessing game

Amir Hussein Sharifnezhad 5 Oct 9, 2021
Built with Python programming language and QT library and Guess the number in three easy, medium and hard rolls
Built with Python programming language and QT library and Guess the number in three easy, medium and hard rolls

password-generator Built with Python programming language and QT library and Guess the number in three easy, medium and hard rolls Password generator

Amir Hussein Sharifnezhad 3 Oct 9, 2021
Cirq is a Python library for writing, manipulating, and optimizing quantum circuits and running them against quantum computers and simulators
Cirq is a Python library for writing, manipulating, and optimizing quantum circuits and running them against quantum computers and simulators

Cirq is a Python library for writing, manipulating, and optimizing quantum circuits and running them against quantum computers and simulators. Install

quantumlib 3.6k Jan 7, 2023
A simple script written using symbolic python that takes as input a desired metric and automatically calculates and outputs the Christoffel Pseudo-Tensor, Riemann Curvature Tensor, Ricci Tensor, Scalar Curvature and the Kretschmann Scalar

A simple script written using symbolic python that takes as input a desired metric and automatically calculates and outputs the Christoffel Pseudo-Tensor, Riemann Curvature Tensor, Ricci Tensor, Scalar Curvature and the Kretschmann Scalar

null 2 Nov 27, 2021
🔩 Like builtins, but boltons. 250+ constructs, recipes, and snippets which extend (and rely on nothing but) the Python standard library. Nothing like Michael Bolton.

Boltons boltons should be builtins. Boltons is a set of over 230 BSD-licensed, pure-Python utilities in the same spirit as — and yet conspicuously mis

Mahmoud Hashemi 6k Jan 6, 2023
A free and open-source chess improvement app that combines the power of Lichess and Anki.
A free and open-source chess improvement app that combines the power of Lichess and Anki.

A free and open-source chess improvement app that combines the power of Lichess and Anki. Chessli Project Activity & Issue Tracking PyPI Build & Healt

null 93 Nov 23, 2022
HPomb Is Socail Engineering Tool , Used For Bombing , Spoofing and Anonymity Available For Linux And Android(Termux)
HPomb Is Socail Engineering Tool , Used For Bombing , Spoofing and Anonymity Available For Linux And Android(Termux)

HPomb v2020.02 Coming Soon Created By Secanonm HPomb Is Socail Engineering Tool , Used For Bombing , Spoofing and Anonymity Available For Linux And An

Secanonm 10 Jul 25, 2022
TickerRain is an open-source web app that stores and analysis Reddit posts in a transparent and semi-interactive manner.
TickerRain is an open-source web app that stores and analysis Reddit posts in a transparent and semi-interactive manner.

TickerRain is an open-source web app that stores and analysis Reddit posts in a transparent and semi-interactive manner

GonVas 180 Oct 8, 2022
Releases(v.1.0.0)
Owner
Joana Fraxanet
Joana Fraxanet
GitHub Repository
An extremely configurable markdown reverser for Python3.

🔄 Unmarkd A markdown reverser. Unmarkd is a BeautifulSoup-powered Markdown reverser written in Python and for Python. Why This is created as a StackS

ThatXliner 5 Jun 27, 2022
Automator anble you to create automations on your system

WELCOME TO AUTOMATOR BETA This programm is able to create automations on your system. This programm is only an experimantal release; infact it works v

Davide 1 Jan 12, 2022
A QGIS integration plugin for Kart repositories

QGIS Kart Plugin A plugin to work with Kart repositories Installation The Kart plugin is available in the QGIS Plugins server. To install the latest v

Koordinates 27 Jan 04, 2023
Deis v1, the CoreOS and Docker PaaS: Your PaaS. Your Rules.

This repository (deis/deis) is no longer developed or maintained. The Deis v1 PaaS based on CoreOS Container Linux and Fleet has been replaced by Deis

Deis 6.1k Jan 04, 2023
Simple tooling for marking deprecated functions or classes and re-routing to the new successors' instance.

pyDeprecate Simple tooling for marking deprecated functions or classes and re-routing to the new successors' instance

Jirka Borovec 45 Nov 24, 2022
Airbrake Python

airbrake-python Note. Python 3.4+ are advised to use new Airbrake Python notifier which supports async API and code hunks. Python 2.7 users should con

Airbrake 51 Dec 22, 2022
pgvector support for Python

pgvector-python pgvector support for Python Great for online recommendations 🎉 Supports Django, SQLAlchemy, Psycopg 2, Psycopg 3, and asyncpg Install

Andrew Kane 37 Dec 20, 2022
Rotating cube with hand

I am still working on this project :)) To-Do(Present): = It needs an algorithm to fine tune my hand's coordinates for rotation of our cube (initial o

Jay Desale 2 Dec 26, 2021
Reproduction repository for the MDX 2021 Hybrid Demucs model

Submission This is the submission for MDX 2021 Track A, for Track B go to the track_b branch. Submission Summary Submission ID: 151378 Submitter: defo

Alexandre Défossez 62 Dec 18, 2022
User management system (UMS), has the primary purpose of connecting to an Active Directory (AD)

💿 Sistema de Gerenciamento de Usuário (SGU) 📚 Sobre o projeto Sistema de gerenciamento de usuários (SGU), tem o objetivo primário de se conectar a u

Patrick Viegas 2 Feb 25, 2022
Python library to decorate and beautify strings

outputformater Python library to decorate and beautify your standard output 💖 I

Felipe Delestro Matos 259 Dec 13, 2022
Gerador do Arquivo Magnético Sintegra em Python

pysintegra é uma lib simples com o objetivo de facilitar a geração do arquivo SINTEGRA seguindo o Convênio ICMS 57/95. Com o surgimento do SPED, muito

Felipe Correa 5 Apr 07, 2022
Simple macOS StatusBar app to remind you to unplug your laptop when sufficiently charged

ChargeMon Simple macOS StatusBar app to monitor battery charge status and remind you to unplug your Mac when the battery is sufficiently charged Overv

Rhet Turnbull 5 Jan 25, 2022
Herramienta para poder automatizar reuniones en Zoom.

Crear Reunión Zoom con Python Herramienta para poder automatizar reuniones en Zoom. Librerías Requeridas Nombre Comando PyAutoGui pip install pyautogu

JkDev 3 Nov 12, 2022
LPCV Winner Solution of Spring Team

LPCV Winner Solution of Spring Team

22 Jul 20, 2022
Launcher program to select which version of the Q-Sys software to launch.

QSC-QSYS Launcher Launcher program to select which version of the Q-Sys software to launch. Instructions To use the application simply save the "Q-Sys

Zach Lisko 2 Sep 28, 2022
Lags valorant servers by rapidly picking up and throwing shorties.

Lags valorant servers by rapidly picking up and throwing shorties.

Eric Still 9 Dec 30, 2021
The Official Jaseci Code Repository

Jaseci Release Notes Version 1.2.2 Updates Added new built-ins for nodes and edges (context, info, and details) Fixed dot output Added reset command t

136 Dec 20, 2022
Transform your boring distro into a hacking powerhouse.

Pentizer Transform your boring distro into a hacking powerhouse. Pentizer is a personal project that imports Kali and Parrot repositories in any Debia

Michail Tsimpliarakis 2 Nov 05, 2021
Make after-work Mending More flexible In Python

Mending Make after-work Mending More flexible In Python A Lite Package focuses on making project's after-post mending pythonic and flexible. Certainly

2 Jun 15, 2022