Correlation Inequalities for Quantum Spin Systems with Quenched Centered Disorder

Abstract

It is shown that random quantum spin systems with centered disorder satisfy correlation inequalities previously proved (arXiv:cond-mat/0612371) in the classical case. Consequences include monotone approach of pressure and ground state energy to the thermodynamic limit. Signs and bounds on the surface pressures for different boundary conditions are also derived for finite range potentials.

4 pages

References in corpus (10)

• Mathematical Foundation of Quantum Annealing
• The Thermodynamic Limit in Mean Field Spin Glass Models
• $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$ as a random field Ising ferromagnet
• The low-$T$ phase diagram of $\mathrm{LiH}{\mathrm{o}}_{\mathrm{x}}{\mathrm{Y}}_{1-\mathrm{x}}{\mathrm{F}}_4$
• Correlation Inequalities for Spin Glasses
• On the Surface Pressure for the Edwards-Anderson Model
• Surface terms on the Nishimori line of the Gaussian Edwards-Anderson model
• Thermodynamic Limit for Finite Dimensional Classical and Quantum Disordered Systems
• Lack of monotonicity in spin glass correlation functions
• Thermodynamic Limit for Spin Glasses. Beyond the Annealed Bound

Cited by in corpus (12)

• Universal nature of replica symmetry breaking in quantum systems with Gaussian disorder
• General properties of overlap operators in disordered quantum spin systems
• Self-averaging of perturbation Hamiltonian density in perturbed spin systems
• Absence of replica symmetry breaking in the transverse and longitudinal random field Ising model
• Boundedness of Susceptibility in Spin Glass Transition of Transverse Field Mixed $p$-spin Glass Models
• Correlation equalities and upper bounds for the transverse Ising model
• Gauge theory for mixed $p$-spin glasses
• No replica symmetry breaking phase in random field Ginzburg-Landau model
• Progress in the mathematical theory of quantum disordered systems
• Absence of replica symmetry breaking in disordered FKG-Ising models under uniform field
• Gauge theory for quantum XYZ spin glasses
• The ground state energy per site of the quantum and classical Edwards-Anderson spin-glass model in the thermodynamic limit