Translational Symmetry Breaking Transformations in the Small Polaron Theory

Abstract In previous work, [arXiv:1905.01909], we have calculated the mϱ/fπ ratio in the chiral and continuum limit for SU(3) gauge theory coupled to Nf = 2, 3, 4, 5, 6 fermions in the fundamental representation. The main result was that this ratio displays no statistically significant Nf-dependence. In the present work we continue the study of the Nf-dependence by extending the simulations to Nf = 7, 8, 9, 10. Along the way we also study in detail the Nf-dependence of finite volume effects on low energy observables and a particular translational symmetry breaking unphysical, lattice artefact phase specific to staggered fermions.

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Muon diffusion and trapping in aluminum and dilute aluminum alloys: Experiments and comparison with small-polaron theory

Physical Review B ◽

10.1103/physrevb.26.567 ◽

1982 ◽

Vol 26 (2) ◽

pp. 567-590 ◽

Cited By ~ 115

Author(s):

K. W. Kehr ◽

D. Richter ◽

J. -M. Welter ◽

O. Hartmann ◽

E. Karlsson ◽

...

Keyword(s):

Aluminum Alloys ◽

Small Polaron ◽

Muon Diffusion ◽

Polaron Theory

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One-Fe versus Two-Fe Brillouin Zone of Fe-Based Superconductors: Creation of the Electron Pockets by Translational Symmetry Breaking

Physical Review Letters ◽

10.1103/physrevlett.107.257001 ◽

2011 ◽

Vol 107 (25) ◽

Cited By ~ 47

Author(s):

Chia-Hui Lin ◽

Tom Berlijn ◽

Limin Wang ◽

Chi-Cheng Lee ◽

Wei-Guo Yin ◽

...

Keyword(s):

Symmetry Breaking ◽

Brillouin Zone ◽

Translational Symmetry

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Small polaron theory of optical absorption and thermal reorientation of VK centres

Solid State Communications ◽

10.1016/0038-1098(70)90422-9 ◽

1970 ◽

Vol 8 (10) ◽

pp. 745-747

Author(s):

R. Gazzinelli ◽

H.G. Reik

Keyword(s):

Optical Absorption ◽

Small Polaron ◽

Polaron Theory

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Spontaneous Symmetry Breaking in 5D Conformally Invariant Gravity

Advances in High Energy Physics ◽

10.1155/2016/5353267 ◽

2016 ◽

Vol 2016 ◽

pp. 1-7 ◽

Cited By ~ 2

Author(s):

Taeyoon Moon ◽

Phillial Oh

Keyword(s):

Symmetry Breaking ◽

Spontaneous Symmetry Breaking ◽

Conformal Symmetry ◽

Brane World ◽

Spontaneous Breaking ◽

Warp Factor ◽

Translational Symmetry ◽

Tensor Perturbation ◽

Conformally Invariant ◽

Conformal Quantum Mechanics

We explore the possibility of the spontaneous symmetry breaking in 5D conformally invariant gravity, whose action consists of a scalar field nonminimally coupled to the curvature with its potential. Performing dimensional reduction via ADM decomposition, we find that the model allows an exact solution giving rise to the 4D Minkowski vacuum. Exploiting the conformal invariance with Gaussian warp factor, we show that it also admits a solution which implements the spontaneous breaking of conformal symmetry. We investigate its stability by performing the tensor perturbation and find the resulting system is described by the conformal quantum mechanics. Possible applications to the spontaneous symmetry breaking of time-translational symmetry along the dynamical fifth direction and the brane-world scenario are discussed.

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The application of small polaron theory to transition metal oxide glasses

Journal of Non-Crystalline Solids ◽

10.1016/0022-3093(83)90105-9 ◽

1983 ◽

Vol 58 (1) ◽

pp. 91-98 ◽

Cited By ~ 66

Author(s):

M. Sayer ◽

A. Mansingh

Keyword(s):

Transition Metal ◽

Metal Oxide ◽

Small Polaron ◽

Transition Metal Oxide ◽

Oxide Glasses ◽

Polaron Theory

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CHARGE CARRIER MASS IN HIGH Tc SUPERCONDUCTORS

International Journal of Modern Physics B ◽

10.1142/s0217979299003477 ◽

1999 ◽

Vol 13 (29n31) ◽

pp. 3582-3584

Author(s):

MARCO ZOLI

Keyword(s):

Charge Carrier ◽

Numerical Study ◽

Small Polaron ◽

Electron Mass ◽

High Tc Superconductors ◽

High Tc ◽

Effective Masses ◽

Polaron Theory ◽

Holstein Model

The theory of polarons has experienced a surge of activity in the last years partly due to the possible role of polaronic quasiparticles in high Tc superconductors. This numerical study of the Holstein model shows that the polaronic effective masses become essentially dimension independent and of order ≃10–50 times the electron mass at sufficiently strong intermolecular coupling forces. Such values (which are much lower than those obtained by traditional small polaron theory) would erase one the serious objections against a (bi)polaronic picture for high Tc superconductors.

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