Novel Phases of Planar Fermionic Systems

Abstract

We discuss a {\em family} of planar (two-dimensional) systems with the following phase strucure: a Fermi liquid, which goes by a second order transition (with non classical exponent even in mean-field) to an intermediate, inhomogeneous state (with nonstandard ordering momentum) , which in turn goes by a first order transition to a state with canonical order parameter. We analyze two examples: (i) a superconductor in a parallel magnetic field (which was discussed independently by Bulaevskii)for which the inhomogeneous state is obtained for $1.86T_c\stackrel{\sim }{<}B\stackrel{\sim }{<}1.86\sqrt{2}{T}_c$ where $T_c$ is the critical temperature (in Kelvin) of the superconductor without a field and $B$ is measured in Tesla, and (ii) spinless (or, as is explained, spin polarized) fermions near half-filling where a similar, sizeable window (which grows in size with anisotropy) exists for the intermediate CDW phase at an ordering momentum different from $(\pi ,\pi )$. We discuss the experimental conditions for realizing and observing these phases and the Renormalization Group approach to the transitions.

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References in corpus (2)

• Renormalization Group Approach to Interacting Fermions
• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions

Cited by in corpus (4)

• Ginzburg-Landau theory of Fulde-Ferrell-Larkin-Ovchinnikov states in unconventional singlet superconductors with impurities
• Josephson Effect in Fulde-Ferrell-Larkin-Ovchinnikov Superconductors
• Lattice structures of Larkin-Ovchinnikov-Fulde - Ferrell (LOFF) state
• Interacting spinless fermions on the square lattice: Charge order, phase separation, and superconductivity