Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas
The properties of a two-dimensional electron gas (2DEG) in a semiconductor host with two valleys related by an underlying $C_4$ rotational symmetry are studied using Hartree-Fock (HF) and various other many-body approaches. A familiar artifact of the HF approach is a degeneracy between the valley po...
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| creator | Calvera, Vladimir Valenti, Agnes Huber, Sebastian D Berg, Erez Kivelson, Steven A |
| description | The properties of a two-dimensional electron gas (2DEG) in a semiconductor
host with two valleys related by an underlying $C_4$ rotational symmetry are
studied using Hartree-Fock (HF) and various other many-body approaches. A
familiar artifact of the HF approach is a degeneracy between the valley
polarized - ``Ising nematic'' - and spin polarized - ferromagnetic - phases,
which is inconsistent with recent variational Monte Carlo (VMC) results.
Correlation effects, computed either within the random phase approximation
(RPA) or the T-matrix approximation, enhance the valley susceptibility relative
to the spin susceptibility. Extrapolating the results to finite interaction
strength, we find a direct first-order transition from a symmetry-unbroken
state to a spin unpolarized Ising nematic fluid with full valley polarization,
in qualitative agreement with VMC. The RPA results are also reminiscent of
experiments on the corresponding 2DEG in AlAs heterostructures. |
| doi_str_mv | 10.48550/arxiv.2406.12825 |
| format | Article |
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host with two valleys related by an underlying $C_4$ rotational symmetry are
studied using Hartree-Fock (HF) and various other many-body approaches. A
familiar artifact of the HF approach is a degeneracy between the valley
polarized - ``Ising nematic'' - and spin polarized - ferromagnetic - phases,
which is inconsistent with recent variational Monte Carlo (VMC) results.
Correlation effects, computed either within the random phase approximation
(RPA) or the T-matrix approximation, enhance the valley susceptibility relative
to the spin susceptibility. Extrapolating the results to finite interaction
strength, we find a direct first-order transition from a symmetry-unbroken
state to a spin unpolarized Ising nematic fluid with full valley polarization,
in qualitative agreement with VMC. The RPA results are also reminiscent of
experiments on the corresponding 2DEG in AlAs heterostructures.</description><identifier>DOI: 10.48550/arxiv.2406.12825</identifier><language>eng</language><subject>Physics - Mesoscale and Nanoscale Physics ; Physics - Statistical Mechanics ; Physics - Strongly Correlated Electrons</subject><creationdate>2024-06</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/2406.12825$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2406.12825$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Calvera, Vladimir</creatorcontrib><creatorcontrib>Valenti, Agnes</creatorcontrib><creatorcontrib>Huber, Sebastian D</creatorcontrib><creatorcontrib>Berg, Erez</creatorcontrib><creatorcontrib>Kivelson, Steven A</creatorcontrib><title>Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas</title><description>The properties of a two-dimensional electron gas (2DEG) in a semiconductor
host with two valleys related by an underlying $C_4$ rotational symmetry are
studied using Hartree-Fock (HF) and various other many-body approaches. A
familiar artifact of the HF approach is a degeneracy between the valley
polarized - ``Ising nematic'' - and spin polarized - ferromagnetic - phases,
which is inconsistent with recent variational Monte Carlo (VMC) results.
Correlation effects, computed either within the random phase approximation
(RPA) or the T-matrix approximation, enhance the valley susceptibility relative
to the spin susceptibility. Extrapolating the results to finite interaction
strength, we find a direct first-order transition from a symmetry-unbroken
state to a spin unpolarized Ising nematic fluid with full valley polarization,
in qualitative agreement with VMC. The RPA results are also reminiscent of
experiments on the corresponding 2DEG in AlAs heterostructures.</description><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Physics - Statistical Mechanics</subject><subject>Physics - Strongly Correlated Electrons</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tOhDAYRrtxYUYfwJV9gWLvwNIQb8kkJoY9actfbVJaUxiUtxdHV9_ufOcgdMNoJRul6J0p32GtuKS6Yrzh6hK99R-Qy4azx10-xTxZPJawQsIJJrMEF5YNh4QNnk5xCWQ1McKGl69MxjBBmkNOJmKI4JaSE3438xW68CbOcP2_B9Q_PvTdMzm-Pr1090didK2I2O-BNdLaelSSeXBAuR2VMwBce62aFjSXdvdsWkd1Lai0fmSwe7tWMHFAt3_Yc9TwWcJkyjb8xg3nOPEDQQxKmw</recordid><startdate>20240618</startdate><enddate>20240618</enddate><creator>Calvera, Vladimir</creator><creator>Valenti, Agnes</creator><creator>Huber, Sebastian D</creator><creator>Berg, Erez</creator><creator>Kivelson, Steven A</creator><scope>GOX</scope></search><sort><creationdate>20240618</creationdate><title>Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas</title><author>Calvera, Vladimir ; Valenti, Agnes ; Huber, Sebastian D ; Berg, Erez ; Kivelson, Steven A</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a675-3825e184bb7d541fece02bd5caee26f6589e624b12889c067304bfd1e282c9313</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Physics - Statistical Mechanics</topic><topic>Physics - Strongly Correlated Electrons</topic><toplevel>online_resources</toplevel><creatorcontrib>Calvera, Vladimir</creatorcontrib><creatorcontrib>Valenti, Agnes</creatorcontrib><creatorcontrib>Huber, Sebastian D</creatorcontrib><creatorcontrib>Berg, Erez</creatorcontrib><creatorcontrib>Kivelson, Steven A</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Calvera, Vladimir</au><au>Valenti, Agnes</au><au>Huber, Sebastian D</au><au>Berg, Erez</au><au>Kivelson, Steven A</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas</atitle><date>2024-06-18</date><risdate>2024</risdate><abstract>The properties of a two-dimensional electron gas (2DEG) in a semiconductor
host with two valleys related by an underlying $C_4$ rotational symmetry are
studied using Hartree-Fock (HF) and various other many-body approaches. A
familiar artifact of the HF approach is a degeneracy between the valley
polarized - ``Ising nematic'' - and spin polarized - ferromagnetic - phases,
which is inconsistent with recent variational Monte Carlo (VMC) results.
Correlation effects, computed either within the random phase approximation
(RPA) or the T-matrix approximation, enhance the valley susceptibility relative
to the spin susceptibility. Extrapolating the results to finite interaction
strength, we find a direct first-order transition from a symmetry-unbroken
state to a spin unpolarized Ising nematic fluid with full valley polarization,
in qualitative agreement with VMC. The RPA results are also reminiscent of
experiments on the corresponding 2DEG in AlAs heterostructures.</abstract><doi>10.48550/arxiv.2406.12825</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - Mesoscale and Nanoscale Physics Physics - Statistical Mechanics Physics - Strongly Correlated Electrons |
| title | Theory of Coulomb driven nematicity in a multi-valley two-dimensional electron gas |
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