Ultraviolet/infrared mixing in non-Fermi liquids

@article{Mandal2015UltravioletinfraredMI,
  title={Ultraviolet/infrared mixing in non-Fermi liquids},
  author={Ipsita Mandal and Sung-Sik Lee},
  journal={Physical Review B},
  year={2015},
  volume={92},
  pages={035141}
}
We study low-energy effective field theories for non-Fermi liquids with Fermi surfaces of general dimensions and co-dimensions. When the dimension of Fermi surface is greater than one, low-energy particle-hole excitations remain strongly coupled with each other across the entire Fermi surface. In this case, even the observables that are local in the momentum space (such as the Green's functions) become dependent on the size of the Fermi surface in singular ways, resulting in a UV/IR mixing. By… 
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References

SHOWING 1-10 OF 41 REFERENCES
Perturbative non-Fermi liquids from dimensional regularization
We devise a dimensional regularization scheme for quantum field theories with Fermi surface to study scaling behaviour of non-Fermi liquid states in a controlled approximation. Starting from a Fermi…
Low-energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
We study the low-energy effective theory for a non-Fermi-liquid state in 2+1 dimensions, where a transverse U(1) gauge field is coupled with a patch of Fermi surface with N flavors of fermion in the…
Soft fermi surfaces and breakdown of Fermi-liquid behavior.
TLDR
It is shown that critical Fermi surface fluctuations near a d-wave Pomeranchuk instability in two dimensions lead to large anisotropic decay rates for single-particle excitations, which destroy FermI-liquid behavior over the whole surface except at the Brillouin zone diagonal.
A controlled expansion for certain non-Fermi liquid metals
The destruction of Fermi liquid behavior when a gapless Fermi surface is coupled to a fluctuating gapless boson field is studied theoretically. This problem arises in a number of different contexts…
Quantum Phase Transitions of Metals in Two Spatial Dimensions: II. Spin density Wave Order
We present a field-theoretic renormalization group analysis of Abanov and Chubukov’s model of the spin density wave transition in two dimensional metals. We identify the independent field scale and…
Spin-fermion model near the quantum critical point: one-loop renormalization group results
TLDR
Two new effects are found: (i) Fermi surface becomes nested at hot spots, and (ii) vertex corrections give rise to anomalous spin dynamics and change the dynamical critical exponent from z = 2 to z>2.
Quantum theory of a nematic Fermi fluid
We develop a microscopic theory of the electronic nematic phase proximate to an isotropic Fermi liquid in both two and three dimensions. Explicit expressions are obtained for the small amplitude…
Stability of the U(1) spin liquid with a spinon Fermi surface in 2+1 dimensions
We study the stability of the 2+1 dimensional U(1) spin liquid state against proliferation of instantons in the presence of spinon Fermi surface. By mapping the spinon Fermi surface into an infinite…
Critical Fermi surfaces and non-Fermi liquid metals
At certain quantum critical points in metals an entire Fermi surface may disappear. A crucial question is the nature of the electronic excitations at the critical point. Here we provide arguments…
Instability toward Formation of Quasi-One-Dimensional Fermi Surface in Two-Dimensional t-J Model
We show within the slave-boson mean field approximation that the two-dimensional t - J model has an intrinsic instability toward forming a quasi-one-dimensional (q-1d) Fermi surface. This q-1d state…
...
1
2
3
4
5
...