Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physica A Statistical Mechanics and its Applications

On the p-spin interaction transverse Ising spin-glass model without replicas

L. De Cesare, K. Lukierska‐Walasek, Ileana Rabuffo, Katarzyna Walasek

Published Apr 1, 1995• 7 citations
Publisher
DOI
10.1016/0378-4371(94)00290-a

Related papers

The Sherrington-Kirkpatrick Ising spin glass in a transverse field: Stability analysis and breaking of the replica symmetry

G. Büttner, Klaus D. Usadel

Physica B Condensed Matter•Aug 1, 1990•3 citations

Replica symmetry breaking solution for two-sublattice fermionic Ising spin glass models in a transverse field

Fábio M. Zimmer, S. G. Magalhães

Journal of Magnetism and Magnetic Materials•Nov 14, 2006•0 citations

Quantum spin glasses in the Ising model with a transverse field

Ya. V. Fedorov, E. F. Shender

ZhETF Pisma Redaktsiiu•Jun 1, 1986•2 citations

Replica-symmetry breaking and quantum fluctuation effects in thep-spin interaction spin-glass model with a transverse field

L. De Cesare, K. Lukierska‐Walasek, Ileana Rabuffo +1 more

The Ising infinite-range spin-glass model with p-spin interactions in the presence of a transverse field is studied for large but finite p using the Matsubara time representation and Parisi's scheme of replica-symmetry breaking. In the spin-glass phase, the corrections to the limit appear much more essential than in the classical counterpart. It is shown that the quantum fluctuations have the effect of destroying the spin-glass order and a lower temperature is required to stabilize the spin-glass phase. The spin autocorrelation function in the spin-glass phase is explicitly calculated as a function of p and the Matsubara time. The result is just complementary and consistent with that previously obtained for the paramagnetic state without using the replica method.

Journal of Physics A Mathematical and General•Apr 21, 1996•14 citations

Slow cooling dynamics of the Ising p-spin interaction spin-glass model

D. M. Kagan, M. V. Feigel’man

Journal of Experimental and Theoretical Physics•Jun 1, 1996•0 citations

Infinite-range Ising spin glass in a transverse field

Dave Thirumalai, Qiang Li, T. R. Kirkpatrick

The infinite-range Ising spin glass in the presence of a transverse field is considered. Using the generalised Trotter formula and replica methods, the free energy for the system with quenched random bond interactions is evaluated using the static approximation. It is shown that, when the strength of the transverse field equals the largest eigenvalue of the random bond interaction matrix, the spin glass transition is destroyed. The authors also show that a replica-symmetric spin glass phase is stable in a certain region of the temperature-field phase diagram. Finally they present suggestive arguments which indicate that, when the time dependence of the dynamic susceptibility is included, then the stability of the replica-symmetric phase is enhanced.

Journal of Physics A Mathematical and General•Aug 21, 1989•81 citations
The Ising infinite-range spin-glass model with p-spin interactions in the presence of a transverse field is studied for large but finite p using the Matsubara time representation and Parisi's scheme of replica-symmetry breaking. In the spin-glass phase, the corrections to the limit appear much more essential than in the classical counterpart. It is shown that the quantum fluctuations have the effect of destroying the spin-glass order and a lower temperature is required to stabilize the spin-glass phase. The spin autocorrelation function in the spin-glass phase is explicitly calculated as a function of p and the Matsubara time. The result is just complementary and consistent with that previously obtained for the paramagnetic state without using the replica method.
The infinite-range Ising spin glass in the presence of a transverse field is considered. Using the generalised Trotter formula and replica methods, the free energy for the system with quenched random bond interactions is evaluated using the static approximation. It is shown that, when the strength of the transverse field equals the largest eigenvalue of the random bond interaction matrix, the spin glass transition is destroyed. The authors also show that a replica-symmetric spin glass phase is stable in a certain region of the temperature-field phase diagram. Finally they present suggestive arguments which indicate that, when the time dependence of the dynamic susceptibility is included, then the stability of the replica-symmetric phase is enhanced.