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Information lattice approach to the metal-insulator transition

Skoglund, William LU ; Giacomelli, Elton LU ; Yang, Yiqi LU ; Bardarson, Jens H. and Van Loon, Erik LU orcid (2026) In Physical Review Research 8(2).
Abstract

Correlation functions and correlation lengths are frequently used to describe phase transitions in quantum systems, but they require an explicit choice of observables. The recently introduced information lattice instead provides an observable-independent way to identify where and at which scale information is contained in quantum lattice models. Here, we use it to study the difference between the metallic and insulating regimes of one-dimensional noninteracting tight-binding chains. We find that the information per scale follows a power law in metals at low temperature and that Friedel-like oscillations are visible in the information lattice. At high temperature or in insulators at low temperature, the information per scale decays... (More)

Correlation functions and correlation lengths are frequently used to describe phase transitions in quantum systems, but they require an explicit choice of observables. The recently introduced information lattice instead provides an observable-independent way to identify where and at which scale information is contained in quantum lattice models. Here, we use it to study the difference between the metallic and insulating regimes of one-dimensional noninteracting tight-binding chains. We find that the information per scale follows a power law in metals at low temperature and that Friedel-like oscillations are visible in the information lattice. At high temperature or in insulators at low temperature, the information per scale decays exponentially. Thus, the information lattice is a useful tool for analyzing the metal-insulator transition.

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Please use this url to cite or link to this publication:
author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Research
volume
8
issue
2
article number
023102
publisher
American Physical Society
external identifiers
  • scopus:105037756850
ISSN
2643-1564
DOI
10.1103/2gvx-gp9g
language
English
LU publication?
yes
id
9d3837c0-733b-4422-96c1-24e80f27ab93
date added to LUP
2026-08-25 15:32:22
date last changed
2026-08-25 15:33:08
@article{9d3837c0-733b-4422-96c1-24e80f27ab93,
  abstract     = {{<p>Correlation functions and correlation lengths are frequently used to describe phase transitions in quantum systems, but they require an explicit choice of observables. The recently introduced information lattice instead provides an observable-independent way to identify where and at which scale information is contained in quantum lattice models. Here, we use it to study the difference between the metallic and insulating regimes of one-dimensional noninteracting tight-binding chains. We find that the information per scale follows a power law in metals at low temperature and that Friedel-like oscillations are visible in the information lattice. At high temperature or in insulators at low temperature, the information per scale decays exponentially. Thus, the information lattice is a useful tool for analyzing the metal-insulator transition.</p>}},
  author       = {{Skoglund, William and Giacomelli, Elton and Yang, Yiqi and Bardarson, Jens H. and Van Loon, Erik}},
  issn         = {{2643-1564}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Research}},
  title        = {{Information lattice approach to the metal-insulator transition}},
  url          = {{http://dx.doi.org/10.1103/2gvx-gp9g}},
  doi          = {{10.1103/2gvx-gp9g}},
  volume       = {{8}},
  year         = {{2026}},
}