TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.14.5.133
TI  - Exact mean-field solution of a spin chain with short-range and long-range interactions
PY  - 2023/05/26
UR  - https://scipost.org/SciPostPhys.14.5.133
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 14
IS  - 5
SP  - 133
A1  - Granet, Etienne
AB  - We consider the transverse field Ising model with additional all-to-all interactions between the spins. We show that a mean-field treatment of this model becomes exact in the thermodynamic limit, despite the presence of 1D short-range interactions. Namely, we show that the eigenstates of the model are coherent states with an amplitude that varies through the Hilbert space, within which expectation values of local observables can be computed with mean-field theory. We study then the thermodynamics of the model and identify the different phases. Among its peculiar features, this 1D model possesses a second-order phase transition at finite temperature and exhibits inverse melting.
ER  -

@Article{10.21468/SciPostPhys.14.5.133,
	title={{Exact mean-field solution of a spin chain with short-range and long-range interactions}},
	author={Etienne Granet},
	journal={SciPost Phys.},
	volume={14},
	pages={133},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.14.5.133},
	url={https://scipost.org/10.21468/SciPostPhys.14.5.133},
}