{"id":82,"date":"2010-07-16T10:44:35","date_gmt":"2010-07-16T10:44:35","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/strongcorrelations\/?p=82"},"modified":"2010-10-30T09:17:52","modified_gmt":"2010-10-30T09:17:52","slug":"lifshitz-lattice","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/","title":{"rendered":"Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice"},"content":{"rendered":"<ul class=\"kent-social-links\"><li><a href='http:\/\/www.facebook.com\/sharer.php?u=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/&amp;t=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice' target='_blank'><i class='ksocial-facebook' title='Share via Facebook'><\/i><\/a><\/li><li><a href='http:\/\/twitter.com\/home?status=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice%20https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/' target='_blank'><i class='ksocial-twitter' title='Share via Twitter'><\/i><\/a><\/li><li><a href='https:\/\/plus.google.com\/share?url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/' target='_blank'><i class='ksocial-google-plus' title='Share via Google Plus'><\/i><\/a><\/li><li><a href='http:\/\/linkedin.com\/shareArticle?mini=true&amp;url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/&amp;title=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice' target='_blank'><i class='ksocial-linkedin' title='Share via Linked In'><\/i><\/a><\/li><li><a href='mailto:content=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/&amp;title=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice' target='_blank'><i class='ksocial-email' title='Share via Email'><\/i><\/a><\/li><\/ul><p style=\"text-align: left\"><a href=\"http:\/\/arxiv.org\/abs\/1004.5276\"><img loading=\"lazy\" class=\"alignright size-full wp-image-231\" title=\"Phase diagram of anisotropic lattice with dipolar fermions\" src=\"http:\/\/blogs.kent.ac.uk\/strongcorrelations\/files\/2010\/07\/Capture-e1288430152780.png\" alt=\"Phase diagram\" width=\"360\" height=\"239\" \/><\/a>We consider a two-dimensional model of noninteracting chains of spinless  fermions weakly coupled via a small interchain hopping and a repulsive  interchain interaction. The phase diagram of this model has a surprising  feature: an abrupt change in the Fermi surface as the interaction is  increased. We study in detail this metanematic transition and show that  the well-known 2+1\/2-order Lifshitz transition is the  critical end point of this first-order quantum phase transition.  Furthermore, in the vicinity of the end point, the order parameter has a  nonperturbative BCS-type form. We also study a competing  crystallization transition in this model and derive the full phase  diagram. This physics can be demonstrated experimentally in dipolar  ultracold atomic or molecular gases. In the presence of a harmonic trap,  it manifests itself as a sharp jump in the density profile.<\/p>\n<p>Sam T.   Carr, Jorge   Quintanilla, and Joseph   J. Betouras,<\/p>\n<p><em>Phys. Rev. B<\/em> <strong> 82<\/strong>,                       045110                       (2010).<\/p>\n<p>DOI: <a href=\"http:\/\/dx.doi.org\/10.1103\/PhysRevB.82.045110\">10.1103\/PhysRevB.82.045110<\/a><\/p>\n<p>(Preprint: <a href=\"http:\/\/arxiv.org\/abs\/1004.5276\">arXiv:1004.5276<\/a>)<\/p>\n<ul class=\"kent-social-links\"><li><a href='http:\/\/www.facebook.com\/sharer.php?u=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/&amp;t=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice' target='_blank'><i class='ksocial-facebook' title='Share via Facebook'><\/i><\/a><\/li><li><a href='http:\/\/twitter.com\/home?status=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice%20https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/' target='_blank'><i class='ksocial-twitter' title='Share via Twitter'><\/i><\/a><\/li><li><a href='https:\/\/plus.google.com\/share?url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/' target='_blank'><i class='ksocial-google-plus' title='Share via Google Plus'><\/i><\/a><\/li><li><a href='http:\/\/linkedin.com\/shareArticle?mini=true&amp;url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/&amp;title=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice' target='_blank'><i class='ksocial-linkedin' title='Share via Linked In'><\/i><\/a><\/li><li><a href='mailto:content=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/&amp;title=Lifshitz transitions and crystallization of fully polarized dipolar fermions in an anisotropic two-dimensional lattice' target='_blank'><i class='ksocial-email' title='Share via Email'><\/i><\/a><\/li><\/ul>","protected":false},"excerpt":{"rendered":"<p>We consider a two-dimensional model of noninteracting chains of spinless fermions weakly coupled via a small interchain hopping and a repulsive interchain interaction. The phase &hellip; <a href=\"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2010\/07\/16\/lifshitz-lattice\/\">Read&nbsp;more<\/a><\/p>\n","protected":false},"author":976,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[597],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts\/82"}],"collection":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/users\/976"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/comments?post=82"}],"version-history":[{"count":19,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts\/82\/revisions"}],"predecessor-version":[{"id":235,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts\/82\/revisions\/235"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/media?parent=82"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/categories?post=82"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/tags?post=82"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}