Conformality loss and quantum criticality in topological Higgs electrodynamics in 2+1 dimensions

@article{Nogueira2019ConformalityLA,
  title={Conformality loss and quantum criticality in topological Higgs electrodynamics in 
2+1
 dimensions},
  author={Flavio S. Nogueira and Jeroen van den Brink and Asle Sudb{\o}},
  journal={Physical Review D},
  year={2019}
}
The electromagnetic response of topological insulators and superconductors is governed by a modified set of Maxwell equations that derive from a topological Chern-Simons (CS) term in the effective Lagrangian with coupling constant $\kappa$. Here we consider a topological superconductor or, equivalently, an Abelian Higgs model in $2+1$ dimensions with a global $O(2N)$ symmetry in the presence of a CS term, but without a Maxwell term. At large $\kappa$, the gauge field decouples from the complex… 

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References

SHOWING 1-10 OF 63 REFERENCES

Abelian Higgs model at four loops, fixed-point collision, and deconfined criticality

The abelian Higgs model is the textbook example for the superconducting transition and the Anderson-Higgs mechanism, and has become pivotal in the description of deconfined quantum criticality. We

A Duality Web in 2+1 Dimensions and Condensed Matter Physics

Conformality Lost

Abstract We consider zero-temperature transitions from conformal to non-conformal phases in quantum theories. We argue that there are three generic mechanisms for the loss of conformality in any

Topologically Massive Gauge Theories

Gauge vector and gravity models are studied in three-dimensional space-time, where novel, gauge invariant, P and T odd terms of topological origin give rise to masses for the gauge fields. In the

Boson–fermion duality in a gravitational background

Mandelstam 't Hooft Duality in Abelian Lattice Models

Semimetal-insulator transition on the surface of a topological insulator with in-plane magnetization

A thin film of ferromagnetically ordered material proximate to the surface of a three-dimensional topological insulator explicitly breaks the time-reversal symmetry of the surface states. For an

Chern-Simons-matter dualities with SO and USp gauge groups

A bstractIn the last few years several dualities were found between the low-energy behaviors of Chern-Simons-matter theories with unitary gauge groups coupled to scalars, and similar theories coupled

Effective action and conformal phase transition in three-dimensional QED

The effective action for local composite operators in $QED_3$ is considered. The effective potential is calculated in leading order in $1/N_f$ ($N_f$ is the number of fermion flavors) and used to

Topological field theory of time-reversal invariant insulators

We show that the fundamental time-reversal invariant (TRI) insulator exists in $4+1$ dimensions, where the effective-field theory is described by the $(4+1)$-dimensional Chern-Simons theory and the
...