Low-energy electron-phonon effective action from symmetry analysis

Based on a detailed symmetry analysis, we state the general rules to build up the effective low-energy field theory describing a system of electrons weakly interacting with the lattice degrees of freedom. The basic elements in our construction are what we call the ``memory tensors,'' which...

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Autores principales: Cabra, Daniel Carlos, Grandi, Nicolás Esteban, Silva, Guillermo Ariel, Sturla, Mauricio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126242
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Sumario:Based on a detailed symmetry analysis, we state the general rules to build up the effective low-energy field theory describing a system of electrons weakly interacting with the lattice degrees of freedom. The basic elements in our construction are what we call the ``memory tensors,'' which keep track of the microscopic discrete symmetries into the coarse-grained action. The present approach can be applied to lattice systems in arbitrary dimensions and in a systematic way to any desired order in derivatives. We apply the method to the honeycomb lattice and reobtain the by-now well-known effective action of Dirac fermions coupled to fictitious gauge fields. As a second example, we derive the effective action for electrons in the kagome lattice, where our approach allows us to obtain in a simple way the low-energy electron-phonon coupling terms.