Perturbative non-Fermi liquids from dimensional regularization

Article

关键词: RENORMALIZATION-GROUP APPROACH;    GAUGE FIELD;    SUPERCONDUCTOR;    STATE;    INSTABILITY;    POINT;    PHASE;    MODEL;    HEAT;   

DOI  :  10.1103/PhysRevB.88.245106

来源: SCIE

【 摘 要 】

We devise a dimensional regularization scheme for quantum field theories with a Fermi surface to study scaling behavior of non-Fermi liquid states in a controlled approximation. Starting from two space dimensions, the co-dimension of the Fermi surface is extended to a general value while its dimension is fixed. When the Fermi surface is coupled with a critical boson centered at zero momentum, the interaction becomes marginal at a critical space dimension d(c) = 5/2. A deviation from the critical dimension is used as a small parameter for a systematic expansion. We apply this method to the theory where two patches of the Fermi surface are coupled with a critical boson, and show that the Ising-nematic critical point is described by a stable non-Fermi liquid state slightly below the critical dimension. Critical exponents are computed up to the two-loop order.

【 授权许可】

Free