{"id":1135,"date":"2023-03-21T16:08:44","date_gmt":"2023-03-21T19:08:44","guid":{"rendered":"https:\/\/revistabrasileiradefisica.com\/rbf\/?p=1135"},"modified":"2023-03-21T16:08:44","modified_gmt":"2023-03-21T19:08:44","slug":"role-of-chemical-potential-in-strange-metal-behavior","status":"publish","type":"post","link":"https:\/\/revistabrasileiradefisica.com\/rbf\/2023\/03\/21\/role-of-chemical-potential-in-strange-metal-behavior\/","title":{"rendered":"Role of chemical potential in strange metal behavior"},"content":{"rendered":"\r\n

Relev\u00e2ncia do potencial qu\u00edmico no comportamento de metal estranho<\/em><\/h4>\r\n\r\n\r\n\r\n

DOI<\/strong>: 10.5281\/zenodo.7757656<\/a><\/em><\/p>\r\n\r\n\r\n\r\n

Lauro Barreto Braz<\/strong>
Lattes<\/a> | ORCID<\/a> | <\/em> E-mail<\/a><\/em><\/p>\r\n\r\n\r\n\r\n

Abstract: <\/strong>Because cuprate superconductors seem to show quantum criticality, this phenomena where a zero-temperature phase transition occurs, has been of great relevance to condensed matter researchers. Here I show a very simple model independent of electronic structure with only one free parameter, the interaction strength, presenting an interaction mechanism analogous to the classical picture of inelastic collisions: complete inelastic collisions result in interaction happening, while usual inelastic ones do not; this model presents a quantum critical point at zero interaction strength and a limited transition region. By means of this simple model, I show that the interplay between attractive interactions and improvement in the effective mass of carriers, caused by a quantum critical point (QCP), can result in lab condition measurable $T$-linear resistivity (strange metal behavior) just by Boltzmann transport. A relevant feature of this development is that the chemical potential ground state has an upper limit as a function of interaction strength, which causes the QCP. This analysis states the relevance of solving a interaction-dependent chemical potential, which is sometimes ignored in theoretical models approaching strange metal state. Finally, we suggest quantum dots as a practical platform to observe the influence of the chemical potential on the electron-electron interaction parameter.\r\n
Keywords:<\/strong> condensed matter, strong correlated electrons, strange metal, quantum dots.<\/p>\r\n\r\n\r\n\r\n

Resumo: <\/strong>Pelos supercondutores \u00f3xidos cuprados aparentemente apresentarem o fen\u00f4meno de criticalidade qu\u00e2ntica, esse fen\u00f4meno, no qual ocorre uma transi\u00e7\u00e3o de fase a temperatura zero, tem sido considerado de grande relev\u00e2ncia pelos pesquisadores da \u00e1rea de mat\u00e9ria condensada. Neste trabalho eu mostro um modelo muito simples e independente de estrutura eletr\u00f4nica com apenas um par\u00e2metro livre, a intensidade de intera\u00e7\u00e3o, apresentando um mecanismo de intera\u00e7\u00e3o mimetizado pela representa\u00e7\u00e3o cl\u00e1ssica de colis\u00f5es inel\u00e1sticas: colis\u00f5es completamente inel\u00e1sticas resultam em intera\u00e7\u00e3o ocorrendo, enquanto colis\u00f5es inel\u00e1sticas comuns n\u00e3o o permitem; este modelo apresenta um ponto cr\u00edtico qu\u00e2ntico quando a intensidade de intera\u00e7\u00e3o \u00e9 zero e tamb\u00e9m uma regi\u00e3o limitada de transi\u00e7\u00e3o. Atrav\u00e9s deste simples modelo, mostro que a a\u00e7\u00e3o combinada entre intera\u00e7\u00f5es atrativas e o aumento da massa efetiva dos portadores de carga, possivelmente causada por um ponto cr\u00edtico qu\u00e2ntico (QCP no ingl\u00eas), pode resultar em uma resistividade linear na temperatura (comportamento de metal estranho) que \u00e9 mensur\u00e1vel em laborat\u00f3rio s\u00f3 por transporte de Boltzmann. Uma caracter\u00edstica relevante deste desenvolvimento \u00e9 que o potencial qu\u00edmico no estado fundamental tem um limite superior como fun\u00e7\u00e3o da intensidade de intera\u00e7\u00e3o, o que causa o QCP. Essa an\u00e1lise estabelece a relev\u00e2ncia de resolver o potencial qu\u00edmico com depend\u00eancia na temperatura, o que \u00e9 por vez ignorado em modelos te\u00f3ricos abordando estados de metal estranho. Por fim, sugerimos que os chamados quantum dots podem ser uma plataforma pr\u00e1tica para observar a influ\u00eancia do potencial qu\u00edmico no par\u00e2metro de intera\u00e7\u00e3o el\u00e9tron-el\u00e9tron.<\/em>
\r\nPalavras-chave: <\/strong>mat\u00e9ria condensada, el\u00e9trons fortemente correlacionados, metais estranhos, quantum dots.<\/em><\/p>\r\n\r\n\r\n\r\n

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Relev\u00e2ncia do potencial qu\u00edmico no comportamento de metal estranho DOI: 10.5281\/zenodo.7757656 Lauro Barreto BrazLattes | ORCID | E-mail Abstract: Because cuprate superconductors seem to show […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0},"categories":[283],"tags":[330,335,337,334,336,333,332,331],"_links":{"self":[{"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/posts\/1135"}],"collection":[{"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/comments?post=1135"}],"version-history":[{"count":2,"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/posts\/1135\/revisions"}],"predecessor-version":[{"id":1137,"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/posts\/1135\/revisions\/1137"}],"wp:attachment":[{"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/media?parent=1135"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/categories?post=1135"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/revistabrasileiradefisica.com\/rbf\/wp-json\/wp\/v2\/tags?post=1135"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}