Quantum Phase Transitions in Coupled Dimer Compounds

Abstract

We study the critical properties in cubic systems of antiferromagnetically coupled spin dimers near magnetic-field induced quantum phase transitions. The quantum critical points in the zero-temperature phase diagrams are determined from quantum Monte Carlo simulations. Furthermore, scaling properties of the uniform magnetization and the staggered transverse magnetization across the quantum phase transition in magnetic fields are calculated. The critical exponents are derived from Ginzburg-Landau theory. We find excellent agreement between the quantum Monte Carlo simulations and the analytical results.

7 pages, 9 eps-figures

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• "Deconfined" quantum critical points
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Quantum phase transitions
• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
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• Theory of Two-Dimensional Quantum Heisenberg Antiferromagnets with a Nearly Critical Ground State
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• Field-Induced Magnetic Ordering in the Quantum Spin System KCuCl${}_3$
• Field-Induced Magnetic Order in Quantum Spin Liquids
• Universal scaling at field-induced magnetic phase transitions
• Critical exponents of the quantum phase transition in a planar antiferromagnet
• Neutron Diffraction Study of the Pressure-Induced Magnetic Ordering in the Spin Gap System TlCuCl${}_3$
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Cited by in corpus (34)

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• Excitations from a Bose-Einstein condensate of magnons in coupled spin ladders
• Bose-Glass Phases in Disordered Quantum Magnets
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• Width of the longitudinal magnon in the vicinity of the O(3) quantum critical point
• Magnetic-field- and pressure-induced quantum phase transition in CsFeCl${}_3$ proved via magnetization measurement
• 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
• Quantum critical scaling at a Bose-glass/superfluid transition: theory and experiment on a model quantum magnet
• Multiplicative logarithmic corrections to quantum criticality in three-dimensional dimerized antiferromagnets
• Asymptotic Freedom in Quantum Antiferromagnet TlCuCl3
• Excitation Gap Scaling near Quantum Critical Three-Dimensional Antiferromagnets
• Universal Neel Temperature in Three-Dimensional Quantum Antiferromagnets
• Decay and renormalization of a longitudinal mode in a quasi-two-dimensional antiferromagnet
• Quasi-two-dimensional Bose-Einstein condensation of spin triplets in dimerized quantum magnet Ba${}_2$CuSi${}_2$O${}_6$Cl${}_2$
• Softening of Magnetic Excitations Leading to Pressure-Induced Quantum Phase Transition in Gapped Spin System KCuCl${}_3$
• Universal Finite Temperature Properties of a Three Dimensional Quantum Antiferromagnet in the Vicinity of a Quantum Critical Point
• Bose - Einstein condensation of triplons with a weakly broken U(1) symmetry
• Numerical study of magnetic field induced ordering in BaCuSi${}_2$O${}_6$ and related systems
• Magnetic Bose glass phases of coupled antiferromagnetic dimers with site dilution
• Reentrant Random Quantum Ising Antiferromagnet
• Magnons and continua in a magnetized and dimerized spin-1/2 chain
• Field-induced Bose-Einstein condensation of interacting dilute magnons in three-dimensional spin systems: A renormalization-group study
• Investigation of a universal behavior between Néel temperature and staggered magnetization density for a three-dimensional quantum antiferromagnet
• Bose-Einstein condensation and entanglement in magnetic systems
• Unifying static and dynamic properties in 3D quantum antiferromagnets
• Pressure-Induced Reentrant Oblique Antiferromagnetic Phase in Spin Dimer System TlCuCl_3
• Experimental Verification of the Universality of Magnetic-Field-Induced Bose-Einstein Condensation of Magnons
• Bond Disorder in Even-Leg Heisenberg Ladders
• Field Induced Multiple Reentrant Quantum Phase Transitions in Randomly Dimerized Antiferromagnetic S=1/2 Heisenberg Chains
• 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${}_3$
• How to engineer a quantum wavefunction
• Phase transitions in the spin-1/2 Heisenberg antiferromagnet on the dimerized diamond lattice
• Impurity-induced magnetization in three dimensional antiferromagnet at quantum critical point