Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution
By S. Raghu, Steven A. Kivelson, Douglas J. Scalapino. 2010
197 citations recorded by the source corpus.
We study the phase diagram of the Hubbard model in the limit where $U$, the onsite repulsive interaction, is much smaller than the bandwidth. We present an asymptotically exact expression for ${T}_{c}$, the superconducting transition temperature, in terms of the correlation functions of the noninteracting system which is valid for arbitrary densities so long as the interactions are sufficiently small. Our strategy for computing ${T}_{c}$ involves first integrating out all degrees of freedom having energy higher than an unphysical initial cutoff ${\ensuremath{\Omega}}_{0}$. Then, the renormalization group (RG) flows of the resulting effective action are computed and ${T}_{c}$ is obtained by determining the scale below which the RG flows in the Cooper channel diverge. We prove that ${T}_{c}$ is independent of ${\ensuremath{\Omega}}_{0}$. Using this method, we find a variety of unconventional superconducting ground states in two- and three-dimensional lattice systems, and present explicit results for ${T}_{c}$ and pairing symmetries as a function of the electron concentration.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/ede10a695ead9f98817702175481fc1c3bf3d0e7
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- The Hubbard Model (2021, background): “In a similar fashion, one can study lattice systems of other geometries (46, 45, 47).”
- Absence of Superconductivity in the Pure Two-Dimensional Hubbard Model (2019, background): “[75] S.”
- Ground-state phase diagram of the square lattice Hubbard model from density matrix embedding theory (2015, background): “(The metallic phase is predicted to be unstable at weak coupling and large dopings from weak coupling expansions [17,77], but the relevant parameter region is outside the scope of this paper).”