TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.5.211
TI  - Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree
PY  - 2023/11/28
UR  - https://scipost.org/SciPostPhys.15.5.211
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 5
SP  - 211
A1  - Chakrabarti, Ankita
AU  - Martins, Cyril
AU  - Laflorencie, Nicolas
AU  - Georgeot, Bertrand
AU  - Brunet, Éric
AU  - Lemarié, Gabriel
AB  - We study the random transverse field Ising model on a finite Cayley tree. This enables us to probe key questions arising in other important disordered quantum systems, in particular the Anderson transition and the problem of dirty bosons on the Cayley tree, or the emergence of non-ergodic properties in such systems. We numerically investigate this problem building on the cavity mean-field method complemented by state-of-the art finite-size scaling analysis. Our numerics agree very well with analytical results based on an analogy with the traveling wave problem of a branching random walk in the presence of an absorbing wall. Critical properties and finite-size corrections for the zero-temperature paramagnetic-ferromagnetic transition are studied both for constant (independent of the system volume) and algebraically vanishing (scaling as an inverse power law with the system volume) boundary conditions. In the later case, we reveal a regime which is reminiscent of the non-ergodic delocalized phase observed in other systems, thus shedding some light on critical issues in the context of disordered quantum systems, such as Anderson transitions, the many-body localization or disordered bosons in infinite dimensions.
ER  -

@Article{10.21468/SciPostPhys.15.5.211,
	title={{Traveling/non-traveling phase transition and non-ergodic properties in the random transverse-field Ising model on the Cayley tree}},
	author={Ankita Chakrabarti and Cyril Martins and Nicolas Laflorencie and Bertrand Georgeot and Éric Brunet and Gabriel Lemarié},
	journal={SciPost Phys.},
	volume={15},
	pages={211},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.5.211},
	url={https://scipost.org/10.21468/SciPostPhys.15.5.211},
}