# Conference on Frontiers in Quantum Gases Liquids and Solids

Aug 9 – 20, 2010
NORDITA
Europe/Stockholm timezone

## Prof. Raghu Srinivas (Rice University/Stanford): Superconductivity in the repulsive Hubbard model: an asymptotically exact weak coupling solution

Aug 17, 2010, 11:00 AM
1h
NORDITA

#### NORDITA

Roslagstullsbacken 23, 106 91 Stockholm, Sweden

### Description

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 non-interacting 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 $\Omega_0$. 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 $\Omega_0$.

### Primary author

Prof. Srinivas Raghu (Rice University/Stanford)

### Presentation materials

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