Ferromagnetism in $d$-dimensional SU($n$) Hubbard models with nearly flat bands
J. Stat. Phys. 182, 16 (2021) We present rigorous results for the SU($n$) Fermi-Hubbard models with finite-range hopping in $d$ ($\ge 2$) dimensions. The models are defined on a class of decorated lattices. We first study the models with flat bands at the bottom of the single-particle spectrum and p...
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| creator | Tamura, Kensuke Katsura, Hosho |
| description | J. Stat. Phys. 182, 16 (2021) We present rigorous results for the SU($n$) Fermi-Hubbard models with
finite-range hopping in $d$ ($\ge 2$) dimensions. The models are defined on a
class of decorated lattices. We first study the models with flat bands at the
bottom of the single-particle spectrum and prove that the ground states exhibit
SU($n$) ferromagnetism when the number of particles is equal to the number of
unit cells. We then perturb the models by adding particular hopping terms and
make the bottom bands dispersive. Under the same filling condition, it is
proved that the ground states remain SU($n$) ferromagnetic when the bottom
bands are sufficiently flat and the Coulomb repulsion is sufficiently large. |
| doi_str_mv | 10.48550/arxiv.2009.03580 |
| format | Article |
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finite-range hopping in $d$ ($\ge 2$) dimensions. The models are defined on a
class of decorated lattices. We first study the models with flat bands at the
bottom of the single-particle spectrum and prove that the ground states exhibit
SU($n$) ferromagnetism when the number of particles is equal to the number of
unit cells. We then perturb the models by adding particular hopping terms and
make the bottom bands dispersive. Under the same filling condition, it is
proved that the ground states remain SU($n$) ferromagnetic when the bottom
bands are sufficiently flat and the Coulomb repulsion is sufficiently large.</description><identifier>DOI: 10.48550/arxiv.2009.03580</identifier><language>eng</language><subject>Mathematics - Mathematical Physics ; Physics - Mathematical Physics ; Physics - Quantum Gases ; Physics - Statistical Mechanics ; Physics - Strongly Correlated Electrons</subject><creationdate>2020-09</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>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2009.03580$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.1007/s10955-020-02687-w$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.2009.03580$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Tamura, Kensuke</creatorcontrib><creatorcontrib>Katsura, Hosho</creatorcontrib><title>Ferromagnetism in $d$-dimensional SU($n$) Hubbard models with nearly flat bands</title><description>J. Stat. Phys. 182, 16 (2021) We present rigorous results for the SU($n$) Fermi-Hubbard models with
finite-range hopping in $d$ ($\ge 2$) dimensions. The models are defined on a
class of decorated lattices. We first study the models with flat bands at the
bottom of the single-particle spectrum and prove that the ground states exhibit
SU($n$) ferromagnetism when the number of particles is equal to the number of
unit cells. We then perturb the models by adding particular hopping terms and
make the bottom bands dispersive. Under the same filling condition, it is
proved that the ground states remain SU($n$) ferromagnetic when the bottom
bands are sufficiently flat and the Coulomb repulsion is sufficiently large.</description><subject>Mathematics - Mathematical Physics</subject><subject>Physics - Mathematical Physics</subject><subject>Physics - Quantum Gases</subject><subject>Physics - Statistical Mechanics</subject><subject>Physics - Strongly Correlated Electrons</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNqFjj0PgjAUALs4GPUHOPmGDjqARSTB2UjYHNSZPNKiL2kfpsUP_r2RuDvdcsmdEPNExds8y9Qa_Zue8UapXazSLFdjcSyM963DK5uOggNikFpGmpzhQC2jhdNlKVmuoHzUNXoNrtXGBnhRdwM26G0PjcUOamQdpmLUoA1m9uNELIrDeV9GQ7q6e3Lo--q7UA0L6X_jAw9EOts</recordid><startdate>20200908</startdate><enddate>20200908</enddate><creator>Tamura, Kensuke</creator><creator>Katsura, Hosho</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20200908</creationdate><title>Ferromagnetism in $d$-dimensional SU($n$) Hubbard models with nearly flat bands</title><author>Tamura, Kensuke ; Katsura, Hosho</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2009_035803</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Mathematics - Mathematical Physics</topic><topic>Physics - Mathematical Physics</topic><topic>Physics - Quantum Gases</topic><topic>Physics - Statistical Mechanics</topic><topic>Physics - Strongly Correlated Electrons</topic><toplevel>online_resources</toplevel><creatorcontrib>Tamura, Kensuke</creatorcontrib><creatorcontrib>Katsura, Hosho</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tamura, Kensuke</au><au>Katsura, Hosho</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Ferromagnetism in $d$-dimensional SU($n$) Hubbard models with nearly flat bands</atitle><date>2020-09-08</date><risdate>2020</risdate><abstract>J. Stat. Phys. 182, 16 (2021) We present rigorous results for the SU($n$) Fermi-Hubbard models with
finite-range hopping in $d$ ($\ge 2$) dimensions. The models are defined on a
class of decorated lattices. We first study the models with flat bands at the
bottom of the single-particle spectrum and prove that the ground states exhibit
SU($n$) ferromagnetism when the number of particles is equal to the number of
unit cells. We then perturb the models by adding particular hopping terms and
make the bottom bands dispersive. Under the same filling condition, it is
proved that the ground states remain SU($n$) ferromagnetic when the bottom
bands are sufficiently flat and the Coulomb repulsion is sufficiently large.</abstract><doi>10.48550/arxiv.2009.03580</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Mathematical Physics Physics - Mathematical Physics Physics - Quantum Gases Physics - Statistical Mechanics Physics - Strongly Correlated Electrons |
| title | Ferromagnetism in $d$-dimensional SU($n$) Hubbard models with nearly flat bands |
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