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Code repository for observation of Friedel oscillations in hourglass shaped nanopores

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DelMaestroGroup/papers-code-HourglassNanopores

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Paper DOI

Friedel oscillations in one-dimensional 4He

Bernd Rosenow and Adrian Del Maestro

arXiv:2411.13654

Abstract

One-dimensional bosonic systems, such as helium confined to nanopores, exhibit Luttinger liquid behavior characterized by density waves as collective excitations. We investigate the impact of hourglass-shaped constrictions, found in real experimental nanopores, on a low dimensional quantum liquid. We consider a microscopic model of 4He inside a perturbed nanopore with a localized constriction, and employ quantum Monte Carlo simulations to analyze the density of the core within an effective low-energy framework. Our results reveal the emergence of Friedel oscillations in a bosonic quantum liquid without a Fermi surface. Furthermore, we utilize the Luttinger liquid model to predict experimentally observable signatures of this pinning phenomena in elastic scattering and via the temperature and pressure dependence of mass transport through the deformed nanopore.

Description

This repository includes links, code, scripts, and data to generate the figures in a paper.

Requirements

The data in this project was generated via quantum Monte Carlo simulations with the worm algorithm.

Raw simulation data set is available online at DOI.

  1. A minimal environment to execute these notebooks can be installed via pip install -r requirements.txt
  2. All quantum Monte Carlo data was generated with our open source path integral software also available on github

Support

This work was performed with support from the U.S. Department of Energy, Office of Science, Office of Basic Energy Sciences, under Award Number DE-SC0024333.

Figures

Figure 01: Particle Density Inside the Pore

Figure 02: Hourglass Potential

Figure 03: Friedel Oscillations

Figure 04: Luttinger Liquid Transport

Supplemental Figure 01: Potential Cuts

Supplemental Figure 02: Estimators in the Core

Supplemental Figure 02: Density inside the Core

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Code repository for observation of Friedel oscillations in hourglass shaped nanopores

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