Role of chemical potential in strange metal behavior

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. Keywords: condensed matter; strong correlated electrons; strange metal; quantum dots Resumo: Pelos supercondutores óxidos cuprados aparentemente apresentarem o fenômeno de criticalidade quântica, esse fenômeno, no qual ocorre uma transição de fase a temperatura zero, tem sido considerado de grande relevância pelos pesquisadores da área de matéria condensada. Neste trabalho eu mostro um modelo muito simples e independente de estrutura eletrônica com apenas um parâmetro livre, a intensidade de interação, apresentando um mecanismo de interação mimetizado pela representação clássica de colisões inelásticas: colisões ...