Universal Fragility of Spin Glass Ground States under Single Bond Changes.
Phys Rev Lett
; 132(24): 247101, 2024 Jun 14.
Article
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| MEDLINE
| ID: mdl-38949337
ABSTRACT
We consider the effect of perturbing a single bond on ground states of nearest-neighbor Ising spin glasses, with a Gaussian distribution of the coupling constants, across various two- and three-dimensional lattices and regular random graphs. Our results reveal that the ground states are strikingly fragile with respect to such changes. Altering the strength of only a single bond beyond a critical threshold value leads to a new ground state that differs from the original one by a droplet of flipped spins whose boundary and volume diverge with the system size-an effect that is reminiscent of the more familiar phenomenon of disorder chaos. These elementary fractal-boundary zero-energy droplets and their composites feature robust characteristics and provide the lowest-energy macroscopic spin-glass excitations. Remarkably, within numerical accuracy, the size of such droplets conforms to a universal power-law distribution with exponents that depend on the spatial dimension of the system. Furthermore, the critical coupling strengths adhere to a stretched exponential distribution that is predominantly determined by the local coordination number.
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01-internacional
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MEDLINE
Idioma:
En
Revista:
Phys Rev Lett
Año:
2024
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Article
País de afiliación:
Estados Unidos