Statistical mechanics of the cluster Ising model

P Smacchia, L Amico, P Facchi, R Fazio, G Florio… - Physical Review A …, 2011 - APS
We study a Hamiltonian system describing a three-spin-1/2 clusterlike interaction competing
with an Ising-like antiferromagnetic interaction. We compute free energy, spin-correlation …

Symmetry-resolved entanglement entropy in critical free-fermion chains

NG Jones - Journal of Statistical Physics, 2022 - Springer
The symmetry-resolved Rényi entanglement entropy is the Rényi entanglement entropy of
each symmetry sector of a density matrix ρ. This experimentally relevant quantity is known to …

Entanglement negativity in two-dimensional free lattice models

V Eisler, Z Zimborás - Physical Review B, 2016 - APS
We study the scaling properties of the ground-state entanglement between finite subsystems
of infinite two-dimensional free lattice models, as measured by the logarithmic negativity. For …

Excited state entanglement in homogeneous fermionic chains

F Ares, JG Esteve, F Falceto… - Journal of Physics A …, 2014 - iopscience.iop.org
We study the Rényi entanglement entropy of an interval in a periodic fermionic chain for a
general eigenstate of a free, translational invariant Hamiltonian. In order to analytically …

Entanglement in fermionic chains with finite-range coupling and broken symmetries

F Ares, JG Esteve, F Falceto, AR De Queiroz - Physical Review A, 2015 - APS
We obtain a formula for the determinant of a block Toeplitz matrix associated with a
quadratic fermionic chain with complex coupling. Such couplings break reflection symmetry …

Multipartite entanglement at dynamical quantum phase transitions with nonuniformly spaced criticalities

S Haldar, S Roy, T Chanda, A Sen, U Sen - Physical Review B, 2020 - APS
We report a dynamical quantum phase transition portrait in the alternating field transverse
XY spin chain with Dzyaloshinskii-Moriya interaction by investigating singularities in the …

Ising in a transverse field with added transverse Dzyaloshinskii-Moriya interaction

MR Soltani, FK Fumani, S Mahdavifar - Journal of Magnetism and Magnetic …, 2019 - Elsevier
In this paper, a one-dimensional spin-1/2 Ising model in a transverse magnetic field (ITF)
with added the transverse Dzyaloshinskii-Moriya (DM) interaction is considered. The …

Temperature driven quenches in the Ising model: appearance of negative Rényi mutual information

M Kormos, Z Zimborás - Journal of Physics A: Mathematical and …, 2017 - iopscience.iop.org
We study the dynamics of the transverse field Ising chain after a local quench in which two
independently thermalised chains are joined together and are left to evolve unitarily. In the …

Magnetism-driven ferroelectricity in spin- chains

O Menchyshyn, V Ohanyan, T Verkholyak… - Physical Review B, 2015 - APS
We illustrate the magnetoelectric effect conditioned by the Katsura-Nagaosa-Balatsky (KNB)
mechanism within the frames of exactly solvable spin-1/2 XY chains. Due to three-spin …

A dynamic systems approach to fermions and their relation to spins

Z Zimborás, R Zeier, M Keyl… - EPJ Quantum …, 2014 - Springer
The key dynamic properties of fermionic systems, like controllability, reachability, and
simulability, are investigated in a general Lie-theoretical frame for quantum systems theory …