Quantum Critical Behavior of the Infinite-range Transverse Ising Spin Glass : An Exact Numerical Diagonalization Study
| dc.creator | Sen, Parongama | |
| dc.creator | ray, Purusattam | |
| dc.creator | Chakrabarti, Bikas K. | |
| dc.date | 1997-05-29 | |
| dc.date.accessioned | 2026-07-07T09:11:48Z | |
| dc.date.available | 2026-07-07T09:11:48Z | |
| dc.description | We report exact numerical diagonalization results of the infinite-range Ising spin glass in a transverse field $Γ$ at zero temperature. Eigenvalues and eigenvectors are determined for various strengths of $Γ$ and for system sizes $N \le 16$. We obtain the moments of the distribution of the spin-glass order parameter, the spin-glass susceptibility and the mass gap at different values of $Γ$. The disorder averaging is done typically over 1000 configurations. Our finite size scaling analysis indicates a spin glass transition at $Γ_c \simeq 1.5$. Our estimates for the exponents at the transition are in agreement with those known from other approaches. For the dynamic exponent, we get $z=2.1 \pm 0.1$ which is in contradiction with a recent estimate ($z=4$). Our cumulant analysis indicates the existence of a replica symmetric spin glass phase for $Γ< Γ_c$. | |
| dc.description | 8 pages, Revtex, 5 postscript figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9705297 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9705297 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151809 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Quantum Critical Behavior of the Infinite-range Transverse Ising Spin Glass : An Exact Numerical Diagonalization Study | |
| dc.type | text |