Quantum Critical Point of the XY Model and Condensation of Field-Induced Quasiparticles in Dimer Compounds

Abstract

The quantum critical point of the three-dimensional XY model in a symmetry-preserving field is investigated. The results of Monte Carlo simulations with the directed-loop algorithm show that the quantum critical behavior is characterized by the mean-field values of critical exponents. The system-size dependence of various quantities is compared to a simple field-theoretical argument that supports the mean-field scaling.

References in corpus (8)

• Quantum Monte Carlo with Directed Loops
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Critical behavior of the three-dimensional XY universality class
• Magnetic Field-Induced Condensation of Triplons in Han Purple Pigment BaCuSi${}_2$O${}_6$
• Observation of Field-Induced Transverse Néel Ordering in the Spin Gap System TlCuCl${}_3$
• Recent Developments of World-Line Monte Carlo Methods
• Temperature-dependent spin gap and singlet ground state in BaCuSi2O6
• Universal scaling at field-induced magnetic phase transitions

Cited by in corpus (21)

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• Bose glass and Mott glass of quasiparticles in a doped quantum magnet
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• Characteristic BEC scaling close to Quantum Critical Point in BaCuSi2O6
• Spin Liquids and Antiferromagnetic Order in the Shastry-Sutherland-Lattice Yb${}_2$Pt${}_2$Pb
• Magnetic-Field Induced Bose-Einstein Condensation of Magnons and Critical Behavior in Interacting Spin Dimer System TlCuCl${}_3$
• Magnetic field-induced phase transitions in a weakly coupled s = 1/2 quantum spin dimer system Ba${}_3$Cr${}_2$O${}_8$
• Quantum Phase Transitions in Coupled Dimer Compounds
• Superfluid to normal phase transition in strongly correlated bosons in two and three dimensions
• Pressure-Induced Magnetic Quantum Phase Transition in Gapped Spin System KCuCl3
• Field-induced quantum disordered phases in S=1/2 weakly-coupled dimer systems with site dilution
• Bose-Einstein condensation of triplons close to the quantum critical point in the quasi-one-dimensional spin-$1/2$ antiferromagnet NaVOPO${}_4$
• Revealing three-dimensional quantum criticality by Sr-substitution in Han Purple
• Field-Induced Quantum Criticality of Systems with Ferromagnetically Coupled Structural Spin Units
• Ehrenfest relations and magnetoelastic effects in field-induced ordered phases
• Bose-Einstein condensation of magnons in Cs${}_2$CuCl${}_4$: a dilute gas limit near the saturation magnetic field
• Bose-Einstein condensation and entanglement in magnetic systems
• Magentic-Field Induced Quantum Phase Transition and Critical Behavior in a Gapped Spin System TlCuCl${}_3$
• Pressure-Induced Reentrant Oblique Antiferromagnetic Phase in Spin Dimer System TlCuCl_3
• Crossover from impurity-induced ordered phase to uniform antiferromagnetic phase under hydrostatic pressure in the doped spin-gap system TlCu${}_{1-x}$Mg${}_x$Cl${}_3$
• Finite-temperature dynamics and the role of disorder in nearly critical Ni(Cl${}_{1-x}$Br${}_x$)${}_2$$\cdot$4SC(NH${}_2$)${}_2$