Dirac points and topological phases in correlated altermagnets
We explore a two-dimensional Hubbard model adapted to host altermagnetic states. Utilizing Hartree-Fock (HF) and dynamical mean field theory (DMFT), we uncover that the magnetic solutions of this model feature Dirac points in their spectrum. HF predicts a gap opening at a critical interaction streng...
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creator | Del Re, Lorenzo |
description | We explore a two-dimensional Hubbard model adapted to host altermagnetic
states. Utilizing Hartree-Fock (HF) and dynamical mean field theory (DMFT), we
uncover that the magnetic solutions of this model feature Dirac points in their
spectrum. HF predicts a gap opening at a critical interaction strength, a
result corroborated by DMFT calculations at zero temperature. However, at
finite temperature and high interaction strengths, Dirac points re-emerge at
high energies in the spectral function, even if they are absent in the
non-interacting and HF-predicted band structures. Analytical arguments reveal
that this phenomenon arises near Mott insulating solutions from the frequency
dependence of the self-energy, a behavior not captured by static mean-field
theory. We also propose perturbations to the model that can induce a
topological gap in the spectrum, leading to a transition from topologically
trivial to non-trivial states by varying doping, interaction strength, and
temperature. |
doi_str_mv | 10.48550/arxiv.2408.14288 |
format | Article |
fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2408_14288</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2408_14288</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2408_142883</originalsourceid><addsrcrecordid>eNqFzT0KAjEQQOE0FqIewMq5gDG7ZiGVjT94APswZMc1kE3CJIjeXlzsrV7z4BNi3SipTdepHfLLP2WrlZGNbo2Zi8PJMzrIycdaAGMPNeUU0uAdBsgPLFTAR3CJmQJW6gFDJR5xiFTLUszuGAqtfl2IzeV8O163k2Qz-xH5bb-incT9_-MDs-E2mA</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Dirac points and topological phases in correlated altermagnets</title><source>arXiv.org</source><creator>Del Re, Lorenzo</creator><creatorcontrib>Del Re, Lorenzo</creatorcontrib><description>We explore a two-dimensional Hubbard model adapted to host altermagnetic
states. Utilizing Hartree-Fock (HF) and dynamical mean field theory (DMFT), we
uncover that the magnetic solutions of this model feature Dirac points in their
spectrum. HF predicts a gap opening at a critical interaction strength, a
result corroborated by DMFT calculations at zero temperature. However, at
finite temperature and high interaction strengths, Dirac points re-emerge at
high energies in the spectral function, even if they are absent in the
non-interacting and HF-predicted band structures. Analytical arguments reveal
that this phenomenon arises near Mott insulating solutions from the frequency
dependence of the self-energy, a behavior not captured by static mean-field
theory. We also propose perturbations to the model that can induce a
topological gap in the spectrum, leading to a transition from topologically
trivial to non-trivial states by varying doping, interaction strength, and
temperature.</description><identifier>DOI: 10.48550/arxiv.2408.14288</identifier><language>eng</language><subject>Physics - Quantum Gases ; Physics - Strongly Correlated Electrons</subject><creationdate>2024-08</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2408.14288$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2408.14288$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Del Re, Lorenzo</creatorcontrib><title>Dirac points and topological phases in correlated altermagnets</title><description>We explore a two-dimensional Hubbard model adapted to host altermagnetic
states. Utilizing Hartree-Fock (HF) and dynamical mean field theory (DMFT), we
uncover that the magnetic solutions of this model feature Dirac points in their
spectrum. HF predicts a gap opening at a critical interaction strength, a
result corroborated by DMFT calculations at zero temperature. However, at
finite temperature and high interaction strengths, Dirac points re-emerge at
high energies in the spectral function, even if they are absent in the
non-interacting and HF-predicted band structures. Analytical arguments reveal
that this phenomenon arises near Mott insulating solutions from the frequency
dependence of the self-energy, a behavior not captured by static mean-field
theory. We also propose perturbations to the model that can induce a
topological gap in the spectrum, leading to a transition from topologically
trivial to non-trivial states by varying doping, interaction strength, and
temperature.</description><subject>Physics - Quantum Gases</subject><subject>Physics - Strongly Correlated Electrons</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFzT0KAjEQQOE0FqIewMq5gDG7ZiGVjT94APswZMc1kE3CJIjeXlzsrV7z4BNi3SipTdepHfLLP2WrlZGNbo2Zi8PJMzrIycdaAGMPNeUU0uAdBsgPLFTAR3CJmQJW6gFDJR5xiFTLUszuGAqtfl2IzeV8O163k2Qz-xH5bb-incT9_-MDs-E2mA</recordid><startdate>20240826</startdate><enddate>20240826</enddate><creator>Del Re, Lorenzo</creator><scope>GOX</scope></search><sort><creationdate>20240826</creationdate><title>Dirac points and topological phases in correlated altermagnets</title><author>Del Re, Lorenzo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2408_142883</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - Quantum Gases</topic><topic>Physics - Strongly Correlated Electrons</topic><toplevel>online_resources</toplevel><creatorcontrib>Del Re, Lorenzo</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Del Re, Lorenzo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dirac points and topological phases in correlated altermagnets</atitle><date>2024-08-26</date><risdate>2024</risdate><abstract>We explore a two-dimensional Hubbard model adapted to host altermagnetic
states. Utilizing Hartree-Fock (HF) and dynamical mean field theory (DMFT), we
uncover that the magnetic solutions of this model feature Dirac points in their
spectrum. HF predicts a gap opening at a critical interaction strength, a
result corroborated by DMFT calculations at zero temperature. However, at
finite temperature and high interaction strengths, Dirac points re-emerge at
high energies in the spectral function, even if they are absent in the
non-interacting and HF-predicted band structures. Analytical arguments reveal
that this phenomenon arises near Mott insulating solutions from the frequency
dependence of the self-energy, a behavior not captured by static mean-field
theory. We also propose perturbations to the model that can induce a
topological gap in the spectrum, leading to a transition from topologically
trivial to non-trivial states by varying doping, interaction strength, and
temperature.</abstract><doi>10.48550/arxiv.2408.14288</doi><oa>free_for_read</oa></addata></record> |
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subjects | Physics - Quantum Gases Physics - Strongly Correlated Electrons |
title | Dirac points and topological phases in correlated altermagnets |
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