One-dimensional Fermi liquids

One-dimensional Fermi liquids

We review the progress in the theory of one-dimensional (1D) Fermi liquids which has occurred over the past decade. The usual Fermi liquid theory based on a quasi-particle picture, breaks down in one dimension because of the Peierls divergence in the particlehole bubble producing anomalous dimensions of operators, and because of charge-spin separation. Both are related to the importance of scat...

One-dimensional Quantum Spin Liquids

This chapter is intended as a brief overview of some of the quantum spin liquid phases with unbroken SU(2) spin symmetry available in one dimension. The main characteristics of these phases are discussed by means of the bosonization approach. A special emphasis is laid on the interplay between frustration and quantum fluctuations in one dimension.

Fermi Liquids and Luttinger Liquids

Disordered one-dimensional bose-fermi mixtures: the Bose-Fermi glass.

We analyze an interacting Bose-Fermi mixture in a 1D disordered potential by using a combination of renormalization group and variational methods. We obtain the complete phase diagram in the incommensurate case as a function of bosonic and interspecies interaction strengths, in the weak disorder limit. We find that the system is characterized by several phase transitions between superfluid and ...

Mixed-symmetry superconductivity in two-dimensional Fermi liquids.

We consider a 2D isotropic Fermi liquid with attraction in both s and d channels and examine the possibility of a superconducting state with mixed s and d symmetry of the gap function. We show that both in the weak coupling limit and at strong coupling, a mixed s + id symmetry state is realized in a certain range of interaction. Phase transitions between the mixed and the pure symmetry states a...