First-order phase transition in the quantum spin glass at T=0

The phase diagram of the spin 1 quantum van Hemmen spin glass model with biaxial crystal-field anisotropy and a transverse magnetic field is studied. We investigate the effects of the two transverse crystal-field parameters ͑D x and D y ͒ and transverse field ͑⍀͒ on the phase diagrams in the T − D x plane for various values of D y and ⍀. Tricritical and reentrant behavior can be seen for appropriate ranges of these parameters.

show abstract

Effects of anisotropy on a quantum Heisenberg spin glass on a three-dimensional hierarchical lattice

Sousa

Boechat

Cordeiro

et al. 2005

Phys. Rev. E

View full text Add to dashboard Cite

We study the anisotropic Heisenberg spin-glass model on a three-dimensional hierarchical lattice (designed to approximate the cubic lattice), within a real-space renormalization-group approach. Two different initial probability distributions for the exchange interaction (Jij), Gaussian and uniform, are used, with zero mean and width J. The (kT/J) x Delta0 phase diagram is obtained, where T is the temperature, Delta0 is the first moment of the probability distribution for the uniaxial anisotropy, and k is the Boltzmann constant. For the Ising model (Delta0 = 1), there is a spin-glass phase at low temperatures (high J) and a paramagnetic phase at high temperatures (low J). For the isotropic Heisenberg model (Delta0 = 0), our results indicate no spin-glass phase at finite temperatures. The transition temperature between the spin-glass and paramagnetic phase decreases with Delta0, as expected, but goes to zero at a finite value of the anisotropy parameter, namely Delta0 = Deltac approximately 0.59. Our results indicate that the whole transition line, between the paramagnetic and the spin-glass phases, for Deltac < Delta0 < 1, belongs to the same universality class as the transition for the Ising spin glass.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

First-order phase transition in the quantum spin glass at T=0

Cited by 3 publications

References 30 publications

Magnetic Phase Transitions in R5Pd2 (R = Ho, Dy, Dy0.6Gd0.4) Compounds

Magnetic Phase Transitions in R5Pd2 (R = Ho, Dy, Dy0.6Gd0.4) Compounds

First-order quantum phase transition in an anisotropic Ising model with infinite-range random interaction

Effects of anisotropy on a quantum Heisenberg spin glass on a three-dimensional hierarchical lattice

Contact Info

Product

Resources

About