scholarly journals Field Fluctuations and Casimir Energy of 1D-Fermions

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 643
Author(s):  
Manuel Donaire ◽  
José María Muñoz-Castañeda ◽  
Luis Miguel Nieto ◽  
Marcos Tello-Fraile
Keyword(s):  
Vacuum Energy ◽  
Normal Modes ◽  
Scalar Fields ◽  
Casimir Energy ◽  
Dirac Field ◽  
Edge States ◽  
Vacuum Fluctuations ◽  
One Dimensional ◽  
Mass Gap ◽  
Field Fluctuations

We investigate the self-adjoint extensions of the Dirac operator of a massive one-dimensional field of mass m confined in a finite filament of length L. We compute the spectrum of vacuum fluctuations of the Dirac field under the most general dispersionless boundary conditions. We identify its edge states in the mass gap within a set of values of the boundary parameters, and compute the Casimir energy of the discrete normal modes. Two limit cases are considered, namely, that of light fermions with m L ≪ 1 , and that of heavy fermions for which m L ≫ 1 . It is found that both positive and negative energies are obtained for different sets of values of the boundary parameters. As a consequence of our calculation we demonstrate that the sign of the quantum vacuum energy is not fixed for exchange-symmetric plates (parity-invariant configurations), unlike for electromagnetic and scalar fields.

scholarly journals Revisiting the Casimir energy with general boundary conditions and applications in 1D crystals

2020 ◽  
Vol 35 (03) ◽  
pp. 2040018 ◽  
Author(s):  
J. M. Muñoz-Castañeda ◽  
M. Bordag ◽  
L. Santamaría-Sanz
Keyword(s):  
Boundary Conditions ◽  
Vacuum Energy ◽  
Periodic Potential ◽  
Scalar Fields ◽  
Casimir Energy ◽  
Quantum Vacuum ◽  
General Boundary Conditions ◽  
One Dimensional ◽  
Infinite Array ◽  
Dimensional Crystal

We obtain new expressions for the Casimir energy between plates that are mimicked by the most general possible boundary conditions allowed by the principles of quantum field theory. This result enables to provide the quantum vacuum energy for scalar fields propagating under the influence of a one-dimensional crystal represented by a periodic potential formed by an infinite array of identical potentials with compact support.

scholarly journals THE FINITE VACUUM ENERGY FOR SPINOR, SCALAR AND VECTOR FIELDS

1995 ◽  
Vol 10 (16) ◽  
pp. 2333-2347
Author(s):  
N.N. SHTYKOV
Keyword(s):  
Physical Model ◽  
Vector Fields ◽  
Vacuum Energy ◽  
Scalar Fields ◽  
Casimir Energy ◽  
Divergent Part ◽  
Scalar And Vector Fields ◽  
Massive Spinor ◽  
The One

We compute the one-loop potential (the Casimir energy) for scalar fields with coupling ξR and massive spinor and vector fields on the spaces Rm+1×Y with Y=SN, CP2. We find that in most of the models a divergent part of the Casimir energy on even-dimensional spaces is canceled by means of the appropriate values of ξ, msp, mv. As a physical model we consider spinor electrodynamics on four-dimensional product manifolds and show that the Casimir energy is finite on R1×S3, R3×S1 and R2×S2 for msp=0, msp=0 and [Formula: see text] respectively.

scholarly journals Epitaxial Growth of Quasi-One-Dimensional Bismuth-Halide Chains with Atomically Sharp Topological Non-Trivial Edge States

ACS Nano ◽  
2021 ◽  
Author(s):  
Jincheng Zhuang ◽  
Jin Li ◽  
Yundan Liu ◽  
Dan Mu ◽  
Ming Yang ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Edge States ◽  
One Dimensional

scholarly journals Topological phase transition between a normal insulator and a topological metal state in a quasi-one-dimensional system

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Milad Jangjan ◽  
Mir Vahid Hosseini
Keyword(s):  
Phase Transition ◽  
Dimensional System ◽  
Inversion Symmetry ◽  
Topological Phase ◽  
Edge States ◽  
Zero Energy ◽  
One Dimensional ◽  
Topological Phase Transition ◽  
Metal State ◽  
Topological Metal

AbstractWe theoretically report the finding of a new kind of topological phase transition between a normal insulator and a topological metal state where the closing-reopening of bandgap is accompanied by passing the Fermi level through an additional band. The resulting nontrivial topological metal phase is characterized by stable zero-energy localized edge states that exist within the full gapless bulk states. Such states living on a quasi-one-dimensional system with three sublattices per unit cell are protected by hidden inversion symmetry. While other required symmetries such as chiral, particle-hole, or full inversion symmetry are absent in the system.

scholarly journals Systematic Investigation of the Coupling between One-Dimensional Edge States of a Topological Crystalline Insulator

2021 ◽  
Vol 126 (23) ◽  
Author(s):  
Johannes Jung ◽  
Artem Odobesko ◽  
Robin Boshuis ◽  
Andrzej Szczerbakow ◽  
Tomasz Story ◽  
...  
Keyword(s):  
Systematic Investigation ◽  
Edge States ◽  
One Dimensional ◽  
Topological Crystalline Insulator

scholarly journals One-Dimensional Edge States with Giant Spin Splitting in a Bismuth Thin Film

2015 ◽  
Vol 114 (6) ◽  
Author(s):  
A. Takayama ◽  
T. Sato ◽  
S. Souma ◽  
T. Oguchi ◽  
T. Takahashi
Keyword(s):  
Thin Film ◽  
Spin Splitting ◽  
Edge States ◽  
One Dimensional

EFFECTS OF A BOUNDARY ON SPONTANEOUS EXCITATION OF AN ACCELERATED MULTILEVEL ATOM COUPLED WITH THE DERIVATIVE OF SCALAR FIELDS

2007 ◽  
Vol 22 (20) ◽  
pp. 3447-3461
Author(s):  
YUNFENG ZHU ◽  
HONGWEI YU
Keyword(s):  
Radiation Reaction ◽  
Scalar Fields ◽  
Normal Direction ◽  
Coupling Scheme ◽  
Quantum Fields ◽  
Vacuum Fluctuations ◽  
Direction Parallel ◽  
Excitation Rate ◽  
Derivative Coupling ◽  
Multilevel Atom

The presence of boundaries modifies the modes of quantum fields, which may in turn modifies the spontaneous excitation rate of accelerated atoms in interaction with these fields. In this paper, we study the effect of the presence of a reflecting boundary on the spontaneous excitation of a uniformly accelerated polarized multilevel atom interacting with quantum scalar fields in a dipole-derivative coupling scheme. We separately calculate the contributions of modified vacuum fluctuations and the radiation reaction to the spontaneous excitation rate of the atom. Our results show that the presence of the boundary modulates the excitation rate and makes it a function of the atom's distance from the boundary. When the atom is placed closer and closer to the boundary, the influence of the boundary becomes more and more drastic, with the contribution of the atom's polarization in the direction parallel to the boundary to the spontaneous excitation rate dramatically suppressed while that in the normal direction greatly enhanced.

Statistical mechanics of one-dimensional solitary-wave-bearing scalar fields: Exact results and ideal-gas phenomenology

1980 ◽  
Vol 22 (2) ◽  
pp. 477-496 ◽  
Author(s):  
J. F. Currie ◽  
J. A. Krumhansl ◽  
A. R. Bishop ◽  
S. E. Trullinger
Keyword(s):  
Solitary Wave ◽  
Statistical Mechanics ◽  
Scalar Fields ◽  
Ideal Gas ◽  
Exact Results ◽  
One Dimensional

scholarly journals De Sitter braneworld and gravitational waves

2021 ◽  
Author(s):  
Dong-Yu Li ◽  
Zhao-Xiang Wu ◽  
Hao Hu ◽  
Bao-Min Gu
Keyword(s):  
Gravitational Waves ◽  
Scalar Fields ◽  
Background Solution ◽  
De Sitter ◽  
Dimensional Theory ◽  
Massive Mode ◽  
Large Extra Dimension ◽  
Mass Gap ◽  
Massless Mode ◽  
Background Fields

We study the braneworld theory constructed by multi scalar fields. The model contains a smooth and infinitely large extra dimension, allowing the background fields propagating in it. We give a de Sitter solution for the four-dimensional cosmology as a good approximation to the early universe inflation. We show that the graviton has a localizable massless mode, and a series of continuous massive modes, separated by a mass gap. There could be a normalizable massive mode, depending on the background solution. The gravitational waves of massless mode evolve the same as the four dimensional theory, while that of the massive modes evolve greatly different from the massless mode.

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