Phenomenology of a semi-Dirac semi-Weyl semi-metal
We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, \(\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}\) in dimensionless units, discovered computationally in oxide heterostructures b...
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description | We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, \(\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}\) in dimensionless units, discovered computationally in oxide heterostructures by Pardo and collaborators. This unique system a highly anisotropic sister phase of both (symmetric) graphene and what has become known as a Weyl semimetal, with \(^{1/2} \approx v\) independent of energy, and \(^{1/2} \propto m^{-1/2}\sqrt{\varepsilon}\) being very strongly dependent on energy (\(\varepsilon\)) and depending only on the effective mass \(m\). Each of these systems is distinguished by bands touching (alternatively, crossing) at a point Fermi surface, with one consequence being that for this semi-Dirac system the ratio \(|\chi_{orb}/\chi_{sp}|\) of orbital to spin susceptibilities diverges at low doping. We extend the study of the low-energy behavior of the semi-Dirac system, finding the plasmon frequency to be highly anisotropic while the Hall coefficient scales with carrier density in the usual manner. The Faraday rotation behavior is also reported. For Klein tunneling for normal incidence on an arbitrarily oriented barrier, the kinetic energy mixes both linear (massless) and quadratic (massive) contributions depending on orientation. Analogous to graphene, perfect transmission occurs under resonant conditions, except for the specific orientation that eliminates massless dispersion. Comparisons of the semi-Dirac system are made throughout with both other types of point Fermi surface systems. |
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This unique system a highly anisotropic sister phase of both (symmetric) graphene and what has become known as a Weyl semimetal, with \(<v_y^2>^{1/2} \approx v\) independent of energy, and \(<v_x^2>^{1/2} \propto m^{-1/2}\sqrt{\varepsilon}\) being very strongly dependent on energy (\(\varepsilon\)) and depending only on the effective mass \(m\). Each of these systems is distinguished by bands touching (alternatively, crossing) at a point Fermi surface, with one consequence being that for this semi-Dirac system the ratio \(|\chi_{orb}/\chi_{sp}|\) of orbital to spin susceptibilities diverges at low doping. We extend the study of the low-energy behavior of the semi-Dirac system, finding the plasmon frequency to be highly anisotropic while the Hall coefficient scales with carrier density in the usual manner. The Faraday rotation behavior is also reported. For Klein tunneling for normal incidence on an arbitrarily oriented barrier, the kinetic energy mixes both linear (massless) and quadratic (massive) contributions depending on orientation. Analogous to graphene, perfect transmission occurs under resonant conditions, except for the specific orientation that eliminates massless dispersion. Comparisons of the semi-Dirac system are made throughout with both other types of point Fermi surface systems.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.1207.5760</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Anisotropy ; Carrier density ; Faraday effect ; Fermi surfaces ; Graphene ; Hall effect ; Heterostructures ; Kinetic energy ; Phenomenology ; Physics - Mesoscale and Nanoscale Physics ; Physics - Strongly Correlated Electrons ; System effectiveness</subject><ispartof>arXiv.org, 2012-07</ispartof><rights>2012. 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This unique system a highly anisotropic sister phase of both (symmetric) graphene and what has become known as a Weyl semimetal, with \(<v_y^2>^{1/2} \approx v\) independent of energy, and \(<v_x^2>^{1/2} \propto m^{-1/2}\sqrt{\varepsilon}\) being very strongly dependent on energy (\(\varepsilon\)) and depending only on the effective mass \(m\). Each of these systems is distinguished by bands touching (alternatively, crossing) at a point Fermi surface, with one consequence being that for this semi-Dirac system the ratio \(|\chi_{orb}/\chi_{sp}|\) of orbital to spin susceptibilities diverges at low doping. We extend the study of the low-energy behavior of the semi-Dirac system, finding the plasmon frequency to be highly anisotropic while the Hall coefficient scales with carrier density in the usual manner. The Faraday rotation behavior is also reported. For Klein tunneling for normal incidence on an arbitrarily oriented barrier, the kinetic energy mixes both linear (massless) and quadratic (massive) contributions depending on orientation. Analogous to graphene, perfect transmission occurs under resonant conditions, except for the specific orientation that eliminates massless dispersion. Comparisons of the semi-Dirac system are made throughout with both other types of point Fermi surface systems.</description><subject>Anisotropy</subject><subject>Carrier density</subject><subject>Faraday effect</subject><subject>Fermi surfaces</subject><subject>Graphene</subject><subject>Hall effect</subject><subject>Heterostructures</subject><subject>Kinetic energy</subject><subject>Phenomenology</subject><subject>Physics - Mesoscale and Nanoscale Physics</subject><subject>Physics - Strongly Correlated Electrons</subject><subject>System effectiveness</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2012</creationdate><recordtype>article</recordtype><sourceid>ABUWG</sourceid><sourceid>AFKRA</sourceid><sourceid>AZQEC</sourceid><sourceid>BENPR</sourceid><sourceid>CCPQU</sourceid><sourceid>DWQXO</sourceid><sourceid>GOX</sourceid><recordid>eNotj81Lw0AUxBdBsNTePUnAc-Lue7vZ7FHqJxT0UPAYXpq3mpI0dbcV89-bGg_DzGEY5ifElZKZLoyRtxR-mu9MgbSZsbk8EzNAVGmhAS7EIsatlBJyC8bgTMDbJ-_6blTbfwxJ7xNKIndNet8E2kzxnYd2Sh0fqL0U557ayIt_n4v148N6-ZyuXp9elnerlIzCtK6ZyORaOqesy411qnJcWIS8QvRGV-ChgIrVxtgKFSn2HmtG5z2BBZyL62n2j6fch6ajMJQnrvLENRZupsI-9F9Hjody2x_DbrxUgizASq0R8ReikU6X</recordid><startdate>20120724</startdate><enddate>20120724</enddate><creator>Banerjee, Swapnonil</creator><creator>Pickett, Warren E</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><scope>GOX</scope></search><sort><creationdate>20120724</creationdate><title>Phenomenology of a semi-Dirac semi-Weyl semi-metal</title><author>Banerjee, Swapnonil ; Pickett, Warren E</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a513-ddeaa56409917965791b9e87326b33f54b2f282be1c57b31a1eff3de39ffa2723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Anisotropy</topic><topic>Carrier density</topic><topic>Faraday effect</topic><topic>Fermi surfaces</topic><topic>Graphene</topic><topic>Hall effect</topic><topic>Heterostructures</topic><topic>Kinetic energy</topic><topic>Phenomenology</topic><topic>Physics - Mesoscale and Nanoscale Physics</topic><topic>Physics - Strongly Correlated Electrons</topic><topic>System effectiveness</topic><toplevel>online_resources</toplevel><creatorcontrib>Banerjee, Swapnonil</creatorcontrib><creatorcontrib>Pickett, Warren E</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest Central UK/Ireland</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection><collection>arXiv.org</collection><jtitle>arXiv.org</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Banerjee, Swapnonil</au><au>Pickett, Warren E</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Phenomenology of a semi-Dirac semi-Weyl semi-metal</atitle><jtitle>arXiv.org</jtitle><date>2012-07-24</date><risdate>2012</risdate><eissn>2331-8422</eissn><abstract>We extend the study of fermionic particle-hole symmetric semi-Dirac (alternatively, semi-Weyo) dispersion of quasiparticles, \(\varepsilon_K = \pm \sqrt{(k_x^2/2m)^2 + (vk_y)^2)} = \pm \varepsilon_0 \sqrt{K_x^4 + K_y^2}\) in dimensionless units, discovered computationally in oxide heterostructures by Pardo and collaborators. This unique system a highly anisotropic sister phase of both (symmetric) graphene and what has become known as a Weyl semimetal, with \(<v_y^2>^{1/2} \approx v\) independent of energy, and \(<v_x^2>^{1/2} \propto m^{-1/2}\sqrt{\varepsilon}\) being very strongly dependent on energy (\(\varepsilon\)) and depending only on the effective mass \(m\). Each of these systems is distinguished by bands touching (alternatively, crossing) at a point Fermi surface, with one consequence being that for this semi-Dirac system the ratio \(|\chi_{orb}/\chi_{sp}|\) of orbital to spin susceptibilities diverges at low doping. We extend the study of the low-energy behavior of the semi-Dirac system, finding the plasmon frequency to be highly anisotropic while the Hall coefficient scales with carrier density in the usual manner. The Faraday rotation behavior is also reported. For Klein tunneling for normal incidence on an arbitrarily oriented barrier, the kinetic energy mixes both linear (massless) and quadratic (massive) contributions depending on orientation. Analogous to graphene, perfect transmission occurs under resonant conditions, except for the specific orientation that eliminates massless dispersion. Comparisons of the semi-Dirac system are made throughout with both other types of point Fermi surface systems.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><doi>10.48550/arxiv.1207.5760</doi><oa>free_for_read</oa></addata></record> |
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subjects | Anisotropy Carrier density Faraday effect Fermi surfaces Graphene Hall effect Heterostructures Kinetic energy Phenomenology Physics - Mesoscale and Nanoscale Physics Physics - Strongly Correlated Electrons System effectiveness |
title | Phenomenology of a semi-Dirac semi-Weyl semi-metal |
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