Vanishing critical magnetization in the quantum Ising model

Abstract

Adapting the recent argument of Aizenman, Duminil-Copin and Sidoravicius for the classical Ising model, it is shown here that the magnetization in the transverse-field Ising model vanishes at the critical point. The proof applies to the ground state in dimension $d\ge 2$ and to positive-temperature states in dimension $d\ge 3$, and relies on graphical representations as well as an infrared bound.

32 pages

References in corpus (1)

• Random Currents and Continuity of Ising Model's Spontaneous Magnetization

Cited by in corpus (6)

• The planar Ising model and total positivity
• The free energy in a class of quantum spin systems and interchange processes
• Decay of transverse correlations in quantum Heisenberg models
• Bounded entanglement entropy in the quantum Ising model
• Fermionic observables in the transverse Ising chain
• Kac-Ward solution of the 2D classical and 1D quantum Ising models