Renormalization-group exponents for superconducting phases in two-leg ladders

Abstract

In previous studies, we proposed a scaling ansatz for electron-electron interactions under renormalization group transformation. With the inclusion of phonon-mediated interactions, we show that the scaling ansatz, characterized by the divergent logarithmic length $l_d$ and a set of renormalization-group exponents, also works rather well. The superconducting phases in a doped two-leg ladder are studied and classified by these renormalization-group exponents as demonstration. Finally, non-trivial constraints among the exponents are derived and explained.

4 pages, 3 figures; minor revisions with references added

References in corpus (10)

• Superconductivity in Iron Compounds
• Gap symmetry and structure of Fe-based superconductors
• Magnetism, superconductivity, and pairing symmetry in Fe-based superconductors
• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• The Challenge of Unconventional Superconductivity
• Renormalization group flow, competing phases, and the structure of superconducting gap in multi-band models of Iron based superconductors
• Nodes in the Gap Function of LaFePO, the Gap Function of the Fe(Se,Te) Systems, and the STM Signature of the s${}_{\pm }$ Pairing
• Phase diagram and isotope effects of the quasi-one-dimensional electron gas coupled to phonons
• Phase diagrams of the metallic zigzag carbon nanotube
• Renormalization group approach to anisotropic superconductivity

Cited by in corpus (2)

• Possible quantum phase-manipulation of a two-leg ladder in mixed-dimensional fermionic cold atoms
• Influence of electron-phonon coupling on low temperature phases of metallic single-wall carbon nanotubes