scholarly journals Vison-Majorana complex zero-energy resonance in the Kitaev spin liquid

2018 ◽  
Vol 98 (22) ◽  
Author(s):  
Masafumi Udagawa
Keyword(s):  
Spin Liquid ◽  
Zero Energy ◽  
Energy Resonance ◽  
Complex Zero

scholarly journals Spin liquid mediated RKKY interaction

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
Henry F. Legg ◽  
Bernd Braunecker
Keyword(s):  
Wave Theory ◽  
Spin Liquid ◽  
Spin Liquids ◽  
Rkky Interaction ◽  
Nuclear Spins ◽  
Zero Energy ◽  
Small Magnetic Field ◽  
Fermionic Systems ◽  
Type Interaction ◽  
Magnon Spectrum

AbstractWe propose an RKKY-type interaction that is mediated by a spin liquid. If a spin liquid exists such an interaction could leave a fingerprint by ordering underlying localised moments such as nuclear spins. This interaction has a unique phenomenology that is distinct from the RKKY interaction found in fermionic systems; most notably the lack of a Fermi surface and absence of the requirement for itinerant electrons, since most spin liquids are insulators. We demonstrate that the interaction is predominately shaped by the lattice symmetries of the underlying spin liquid. As a working example we investigate the possible ordering of nuclear spins that interact through an underlying lattice of the two-dimensional spin-1/2 kagome antiferromagnet (KHAF), although the treatment remains general and can be extended to other spin liquids and dimensions. We find that several different nuclear spin orderings minimise the RKKY-type energy induced by the KHAF but are unstable due to a zero-energy flat magnon band in linear spin-wave theory. Despite this we show that a small magnetic field is able to gap out this magnon spectrum resulting in an intricate nuclear magnetism.

Long Time Behaviour of Unstable Multilevel Systems in Presence of Zero Energy Resonance

2006 ◽  
Vol 13 (03) ◽  
pp. 291-300 ◽  
Author(s):  
Manabu Miyamoto
Keyword(s):  
Survival Probability ◽  
Form Factors ◽  
Time Behaviour ◽  
Zero Energy ◽  
Energy Resonance ◽  
N Level ◽  
Multilevel Systems ◽  
Long Time Behaviour ◽  
Long Time ◽  
Friedrichs Model

Long time behaviour of the survival probability for unstable multilevel systems is studied based on the N-level Friedrichs model in the presence of zero energy resonance, that means the divergence of the resolvent at zero energy. With resort to the technique developed by Jensen and Kato [Duke Math. J. 46, 583 (1979)], the zero energy resonance of this model is characterized by the zero energy eigenstate that does not belong to the Hilbert space. It is then shown that for some kinds of the form factors, logarithmically slower decay of the survival probability can be realized.

Comments on near-zero-energy resonance in atoms in external fields

1980 ◽  
Vol 21 (3) ◽  
pp. 1057-1060 ◽  
Author(s):  
A. R. P. Rau ◽  
K. T. Lu
Keyword(s):  
External Fields ◽  
Zero Energy ◽  
Energy Resonance

scholarly journals Observation of a Zero-Energy Resonance in Cs-Cs Collisions

1997 ◽  
Vol 79 (4) ◽  
pp. 625-628 ◽  
Author(s):  
M. Arndt ◽  
M. Ben Dahan ◽  
D. Guéry-Odelin ◽  
M. W. Reynolds ◽  
J. Dalibard
Keyword(s):  
Zero Energy ◽  
Energy Resonance

scholarly journals Atomic Zero Energy Resonance in Plasmas

2015 ◽  
Vol 635 (5) ◽  
pp. 052013 ◽  
Author(s):  
C F Clauser ◽  
R O Barrachina
Keyword(s):  
Zero Energy ◽  
Energy Resonance

Zero-Energy Resonance Effects in Break-up Collisions

2001 ◽  
pp. 46-55 ◽  
Author(s):  
J. Fiol ◽  
C. Courbin ◽  
V. D. Rodríguez ◽  
R. O. Barrachina
Keyword(s):  
Zero Energy ◽  
Energy Resonance ◽  
Resonance Effects ◽  
Break Up
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