1989/06/01 by Purusattam Ray, Bikas K. Chakrabarti, Arunava Chakrabarti · 3 citations
Physics and Astronomy · Materials Science · Economics, Econometrics and Finance · #Theoretical and Computational Physics #Material Dynamics and Properties #Complex Systems and Time Series Analysis #Phase diagram #Physics #Transverse field #Condensed matter physics #Transverse plane #Symmetry breaking #Quantum Monte Carlo #Quantum fluctuation #Quantum phase transition #Symmetry (geometry) #Monte Carlo method #Field (mathematics) #Quantum #Phase transition #Quantum mechanics #Phase (matter) #Statistical physics #Geometry
paper · doi:10.1103/physrevb.39.11828
openalex publication_date 1989/06/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/26
The Sherrington-Kirkpatrick model under a transverse field is studied here employing the Suzuki-Trotter formula to map the model to an equivalent classical one. The effective Thouless-Anderson-Palmer free energy is used to study the stability of the system, and Monte Carlo computer simulations of the effective classical model are performed to obtain the phase diagram and the magnetization overlap distribution. Our results indicate a trivial overlap distribution due to quantum fluctuations. The phase diagram shows a slight initial increase in the glass transition temperature Tg as the transverse field is switched on, confirming that obtained by Yokota.