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Title: Broken Luttinger theorem in the two-dimensional Fermi-Hubbard model

Abstract

One of the fundamental questions about high-temperature cuprate superconductors is the size of the Fermi surface underlying the superconducting state. By analyzing the single-particle spectral function for the Fermi-Hubbard model as a function of repulsion U and chemical potential μ, we find that the Fermi surface in the normal state undergoes a transition from a large Fermi surface matching the Luttinger volume as expected in a Fermi liquid, to a Fermi surface that encloses fewer electrons that we dub the “Luttinger breaking” phase, as the Mott insulator is approached. This transition into a non-Fermi-liquid phase that violates the Luttinger count occurs at a critical density in the absence of any other broken symmetry. We obtain the Fermi-surface contour from the spectral weight Ak(ω = 0) and from an analysis of the singularities of the Green's function Re Gk(E = 0), calculated using determinantal quantum Monte Carlo and analytic continuation methods. We discuss our numerical results in connection with experiments on Hall measurements, scanning tunneling spectroscopy, and angle-resolved photoemission spectroscopy.

Authors:
 [1];  [2];  [1]
+ Show Author Affiliations
  1. The Ohio State University, Columbus, OH (United States)
  2. Universidade Federal do Rio de Janeiro (Brazil)
Publication Date:
Research Org.:
The Ohio State University, Columbus, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Brazilian National Council for Scientific and Technological Development (CNPq); Research Support Foundation of the State of Rio de Janeiro (FAPERJ); INCT
OSTI Identifier:
1979689
Grant/Contract Number:  
FG02-07ER46423
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 104; Journal Issue: 23; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Fermi surface; fractionalization; phase transitions; quasiparticles and collective excitations; topological phases of matter

Citation Formats

Osborne, Ian, Paiva, Thereza, and Trivedi, Nandini. Broken Luttinger theorem in the two-dimensional Fermi-Hubbard model. United States: N. p., 2021. Web. doi:10.1103/physrevb.104.235122.
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Osborne, Ian, Paiva, Thereza, & Trivedi, Nandini. Broken Luttinger theorem in the two-dimensional Fermi-Hubbard model. United States. https://doi.org/10.1103/physrevb.104.235122
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Osborne, Ian, Paiva, Thereza, and Trivedi, Nandini. Fri . "Broken Luttinger theorem in the two-dimensional Fermi-Hubbard model". United States. https://doi.org/10.1103/physrevb.104.235122. https://www.osti.gov/servlets/purl/1979689.
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@article{osti_1979689,
title = {Broken Luttinger theorem in the two-dimensional Fermi-Hubbard model},
author = {Osborne, Ian and Paiva, Thereza and Trivedi, Nandini},
abstractNote = {One of the fundamental questions about high-temperature cuprate superconductors is the size of the Fermi surface underlying the superconducting state. By analyzing the single-particle spectral function for the Fermi-Hubbard model as a function of repulsion U and chemical potential μ, we find that the Fermi surface in the normal state undergoes a transition from a large Fermi surface matching the Luttinger volume as expected in a Fermi liquid, to a Fermi surface that encloses fewer electrons that we dub the “Luttinger breaking” phase, as the Mott insulator is approached. This transition into a non-Fermi-liquid phase that violates the Luttinger count occurs at a critical density in the absence of any other broken symmetry. We obtain the Fermi-surface contour from the spectral weight Ak(ω = 0) and from an analysis of the singularities of the Green's function Re Gk(E = 0), calculated using determinantal quantum Monte Carlo and analytic continuation methods. We discuss our numerical results in connection with experiments on Hall measurements, scanning tunneling spectroscopy, and angle-resolved photoemission spectroscopy.},
doi = {10.1103/physrevb.104.235122},
journal = {Physical Review. B},
number = 23,
volume = 104,
place = {United States},
year = {Fri Dec 10 00:00:00 EST 2021},
month = {Fri Dec 10 00:00:00 EST 2021}
}
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https://doi.org/10.1103/physrevb.104.235122
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