The magnetization $m$ as a function of magnetic field $h$ for various temperatures is numerically obtained for the one-dimensional random-bond Ising model with each bond energy either $+J$ or $\ensuremath{-}J$ with equal probability. For high temperatures ( $\frac{\mathrm{kT}}{J}>~0.6$ ) the results obtained agree with those of Landau and Blume. We have obtained $m$ vs $h$ for low temperatures as a numerical approach to the zero-temperature limit.The magnetization $m$ as a function of magnetic field $h$ for various temperatures is numerically obtained for the one-dimensional random-bond Ising model with each bond energy either $+J$ or $\ensuremath{-}J$ with equal probability. For high temperatures ($\frac{\mathrm{kT}}{J}>~0.6$) the results obtained agree with those of Landau and Blume. We have obtained $m$ vs $h$ for low temperatures as a numerical approach to the zero-temperature limit.

Physical review. B, Solid stateDec 1, 197717 citations

Quantum Quench in a Model Ising Magnet

Matthew Libersky, T. F. Rosenbaum, D. M. Silevitch

Bulletin of the American Physical SocietyMar 7, 20180 citations

Ising Model in a Magnetic Field

Gesualdo Delfino A, Giuseppe Mussardo

NATO ASI series. Series B : PhysicsJan 1, 19970 citations

Ising spin glass in a transverse magnetic field

B. Boechat, Raimundo R. dos Santos, M. A. Contínentino

We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under renormalization-group transformations. The phase diagram (critical temperature ${\mathit{T}}_{\mathit{c}}$ vs transverse field \ensuremath{\Gamma}) we obtain shows a finite slope near T=0, in contrast with the infinite slope for the pure case. Our results compare very well with the experimental data recently obtained for the dipolar Ising spin glass ${\mathrm{LiHo}}_{0.167}$ ${\mathrm{Y}}_{0.833}$ ${\mathrm{F}}_{4}$ , in a transverse field. This indicates that this system is more appropriately described by a model with short-range interactions than by an equivalent Sherrington-Kirkpatrick model in a transverse field.We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under renormalization-group transformations. The phase diagram (critical temperature ${\mathit{T}}_{\mathit{c}}$ vs transverse field \ensuremath{\Gamma}) we obtain shows a finite slope near T=0, in contrast with the infinite slope for the pure case. Our results compare very well with the experimental data recently obtained for the dipolar Ising spin glass ${\mathrm{LiHo}}_{0.167}$${\mathrm{Y}}_{0.833}$${\mathrm{F}}_{4}$, in a transverse field. This indicates that this system is more appropriately described by a model with short-range interactions than by an equivalent Sherrington-Kirkpatrick model in a transverse field.

arXiv:cond-mat/9312036Physical review. B, Condensed matterMar 1, 199425 citations

The magnetization

m

as a function of magnetic field

h

for various temperatures is numerically obtained for the one-dimensional random-bond Ising model with each bond energy either

+J

or $\ensuremath{-}J$ with equal probability. For high temperatures (

\frac{\mathrm{kT}}{J}>~0.6

) the results obtained agree with those of Landau and Blume. We have obtained

m

h

for low temperatures as a numerical approach to the zero-temperature limit.

{\mathit{T}}_{\mathit{c}}

vs transverse field \ensuremath{\Gamma}) we obtain shows a finite slope near T=0, in contrast with the infinite slope for the pure case. Our results compare very well with the experimental data recently obtained for the dipolar Ising spin glass

{\mathrm{LiHo}}_{0.167}

{\mathrm{Y}}_{0.833}

{\mathrm{F}}_{4}

, in a transverse field. This indicates that this system is more appropriately described by a model with short-range interactions than by an equivalent Sherrington-Kirkpatrick model in a transverse field.