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Exact Low-Energy Solution for Critical Fermi Surfaces
Tomer Ravid, Tom Banks
We derive multidimensional bosonization directly from the electron gas in a low-energy, low momentum regime where , such that the dispersion can be linearized…
On the Colloidal Phase of the Homogeneous Electron Fluid
Tom Banks, Bingnan Zhang
We provide semi-rigorous arguments that the Homogeneous Electron Fluid (HEF) has a colloidal phase separating the Wigner Crystal from the high density fluid phase. Near the crossov…
On the Low Density Regime of Homogeneous Electron Gas
Tom Banks, Bingnan Zhang
We investigate the low density limit of the Homogeneous Electron system, often called the {\it Strictly Correlated} regime. We begin with a systematic presentation of the expansion…
Fermi/Pauli Duality in Arbitrary Dimension
Tom Banks
We propose an exact map from commuting lattice spin systems with gauge interactions to fermionic models in an arbitrary number of dimensions.
Instantons, Colloids and Convergence of the 1/N Expansion for the Homogeneous Electron Gas
Tom Banks, Bingnan Zhang
We investigate non-perturbative corrections to the large expansion of the homogeneous electron gas. These are associated with instanton solutions to the effective action of the…
Broke Scale Invariance Ward Identities for the Homogeneous Electron Gas
Tom Banks
We derive exact equations for a broken scale invariance of the homogeneous electron gas HEG, and show that they lead to a closed non-linear integral equation for the density- densi…