# Fluctuation-induced Nambu–Goldstone bosons in a Higgs–Josephson model

@article{Yanagisawa2014FluctuationinducedNB, title={Fluctuation-induced Nambu–Goldstone bosons in a Higgs–Josephson model}, author={Takashi Yanagisawa and Yasumoto Tanaka}, journal={New Journal of Physics}, year={2014}, volume={16}, pages={123014} }

We present a new mechanism of fluctuation-induced Nambu–Goldstone bosons in a scalar field theory of Higgs–Josephson systems. We consider a simple scalar field model with rotational symmetry. When there is an interaction which violates the rotational symmetry, the Nambu–Goldstone bosons become massive and massless bosons are concealed. We present a model where the massive boson becomes a massless boson as a result of the perturbative fluctuation. In our model the -symmetry associated with the…

## 12 Citations

Nambu-Goldstone-Leggett and Higgs Modes in Multi-Condensate Superconductors

- Physics
- 2016

Multi-condensate superconductors have multiple excitation modes. Among them, the Nambu-Goldstone mode, Leggett mode, and Higgs mode are important in superconductors. The dispersion relations and mass…

Fluctuation Modes in Multi-gap Superconductors

- Physics
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We investigate excitation modes in multi-gap superconductors. Multi-gap superconductors have multiple excitation modes. In particular, the Nambu-Goldstone mode , Leggett mode and Higgs modes are…

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Abstract We investigated quantized modes of kinks in the phase space of superconducting gaps in a superconductor with multiple gaps. The kink is described by the sine-Gordon model in a two-gap…

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Multi-Phase Physics of Multi-Condensate Superconductivity

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- 2015

Multi-gap superconductors exhibit interesting properties. In N-gap superconductors, the U(1)N phase invariance is spontaneously broken. When N is greater than 2, N ≥ 3, several interesting phenomena…

Renormalization Group Theory of Effective Field Theory Models in Low Dimensions

- Mathematics
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This is a lecture note on the renormalization group theory for field theory models based on the dimensional regularization method. We discuss the renormalization group approach to fundamental field…

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- Physics
- 2017

Since the idea of a topology based on the interband phase difference was proposed for multiband superconductors without degenerate superconducting components, many feasible and interesting…

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- Physics
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Abstract There is a current-induced massless mode of an interband phase difference in two-band superconductors. For a thin wire, the externally applied current always invokes a finite interband phase…

Theory of Green’s Functions of Nambu-Goldstone and Higgs Modes in Superconductors

- PhysicsJournal of Superconductivity and Novel Magnetism
- 2019

We examine fundamental properties of Green’s functions of Nambu-Goldstone and Higgs modes in superconductors with multiple order parameters. Nambu-Goldstone and Higgs modes are determined once the…

Mechanism of High-Temperature Superconductivity in Correlated-Electron Systems

- PhysicsCondensed Matter
- 2019

It is very important to elucidate the mechanism of superconductivity for achieving room temperature superconductivity. In the first half of this paper, we give a brief review on mechanisms of…

## References

SHOWING 1-10 OF 55 REFERENCES

Spontaneous Symmetry Breakdown without Massless Bosons

- Physics
- 1966

We examine a simple relativistic theory of two scalar fields, first discussed by Goldstone, in which as a result of spontaneous breakdown of U(1) symmetry one of the scalar bosons is massless, in…

Broken Symmetries and the Masses of Gauge Bosons

- Physics
- 1964

In a recent note' it was shown that the Goldstone theorem, ' that Lorentz-covaria. nt field theories in which spontaneous breakdown of symmetry under an internal Lie group occurs contain zero-mass…

QUASI-PARTICLES AND GAUGE INVARIANCE IN THE THEORY OF SUPERCONDUCTIVITY

- Physics
- 1960

Ideas and techniques known in quantum electrodynamics have been applied to the Bardeen-Cooper-Schrieffer theoryof superconductivity. In an approximation which corresponds to a generalization of the…

Massless modes and abelian gauge fields in multi-band superconductors

- Physics
- 2013

In $N$-band superconductors, the $U(1)^N$ phase invariance is spontaneously broken. We propose a model for $N$-band superconductors where the phase differences between gaps are represented by abelian…

Vortices and Chirality in Multi-Band Superconductors

- Physics
- 2012

We investigate some significant properties of multi-band superconductors. They are time-reversal symmetry breaking, chirality and fractional quantum flux vortices in three-band superconductors. The…

Massless Leggett mode in three-band superconductors with time-reversal-symmetry breaking.

- Physics, MedicinePhysical review letters
- 2012

The existence of a massless Leggett mode in three-band superconductors with time-reversal-symmetry breaking that locates within the smallest superconducting energy gap, which makes it stable and detectable, e.g., by means of the Raman spectroscopy.

Renormalisation group analysis of the phase transition in the 2D Coulomb gas, Sine-Gordon theory and XY-model

- Mathematics
- 1980

A systematic renormalisation group technique for studying the 2D sine-Gordon theory (Coulomb gas, XY model) near its phase transition is presented. The new results are (a) higher order terms in the…

Massless collective excitations in frustrated multiband superconductors

- Physics
- 2013

We study collective excitations in three- and four-band superconductors with inter-band frustration, which causes neither 0 nor $\pi$ inter-band phases in the superconducting state. Using a…

Three-band superconductivity and the order parameter that breaks time-reversal symmetry

- Physics
- 2010

We consider a model of multiband superconductivity, inspired by iron pnictides, in which three bands are connected via repulsive pair-scattering terms. Generically, three distinct superconducting…

Nature of the Phase Transition of the Two-Dimensional Antiferromagnetic Plane Rotator Model on the Triangular Lattice

- Physics
- 1984

A study is made on the antiferromagnetic plane rotator model on the triangular lattice by Monte Carlo simulations. In sharp contrast to the ferromagnetic case the specific heat shows a logarithmic…