Spin-spin correlations of the spin-ladder compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$ measured by magnetostriction and comparison to Quantum Monte Carlo results

Abstract

Magnetostriction and thermal expansion of the spin-ladder compound piperidinium copper bromide (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$ are analyzed in detail. We find perfect agreement between experiments and the theory of a two-leg spin ladder Hamiltonian for more than a decade in temperature and in a wide range of magnetic fields. Relating the magnetostriction along different crystallographic directions to two static spin-spin correlation functions, which we compute with Quantum Monte Carlo, allows us to reconstruct the magnetoelastic couplings of (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$. We especially focus on the quantum critical behavior near the two critical magnetic fields $H_{c1}$ and $H_{c2}$, which is characterized by strong singularities rooted in the low dimensionality of the critical spin-system. Extending our discussion in Lorenz et al [Phys. Rev. Lett., 100, 067208 (2008)], we show explicitly that the thermal expansion near the upper critical field $H_{c2}$ is quantitatively described by a parameter-free theory of one-dimensional, non-relativistic Fermions. We also point out that there exists a singular quantum critical correction to the elastic moduli. This correction is proportional to the magnetic susceptibility $\chi$ which diverges as $\chi \sim 1/\sqrt{T}$ at the critical fields and thus leads to a strong softening of the crystal.

arXiv comment12 pages, 8 figures included

References in corpus (23)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Criticality in Heavy Fermion Metals
• Bose-Einstein Condensation in Magnetic Insulators
• Universally diverging Grueneisen parameter and the magnetocaloric effect close to quantum critical points
• Coupled Ladders in a Magnetic Field
• Bose-Einstein Condensation of S = 1 Ni spin degrees of freedom in NiCl2-4SC(NH2)2
• Critical Properties of gapped spin-1/2 chains and ladders in a magnetic field
• Divergence of the Grueneisen Ratio at Quantum Critical Points in Heavy Fermion Metals
• Sign change of the Grueneisen parameter and magnetocaloric effect near quantum critical points
• Ladders in a magnetic field: a strong coupling approach
• Finite Temperature Properties of Quantum Antiferromagnets in a Uniform Magnetic Field in One and Two Dimensions
• The Magnetic Spin Ladder (C_{5}H_{12}N)_{2}CuBr_{4}: High Field Magnetization and Scaling Near Quantum Criticality
• Magnetic Excitations in the Spin-1 Anisotropic Heisenberg Antiferromagnetic Chain System NiCl${}_2$-4SC(NH${}_2$)${}_2$
• Zero Temperature Phase Transition in Spin-ladders: Phase Diagram and Dynamical studies of Cu(Hp)Cl
• Strong Coupling Expansions for Antiferromagnetic Heisenberg S=1/2 Ladders
• Excitations from a Bose-Einstein condensate of magnons in coupled spin ladders
• Diverging thermal expansion of the spin-ladder system (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Critical properties and Bose Einstein Condensation in dimer spin systems
• Magnetoelastic Coupling in the Spin-Dimer System TlCuCl${}_3$
• Microscopic model for the magnetization plateaus in NH4CuCl3
• Thermodynamics of the coupled spin-dimer system TlCuCl3 close to a quantum phase transition
• Loop Algorithms for Asymmetric Hamiltonians
• Thermodynamic properties of the field-induced Neel order of TlCuCl3

Cited by in corpus (20)

• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Thermodynamics of the Spin Luttinger-Liquid in a Model Ladder Material
• Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field
• Multiscale quantum criticality: Pomeranchuk instability in isotropic metals
• Complete bond-operator theory of the two-chain spin ladder
• Anomalous expansion and phonon damping due to the Co spin-state transition in RCoO_3 with R = La, Pr, Nd and Eu
• The spin-$\frac{1}{2}$ XXZ chain system Cs${}_2$CoCl${}_4$ in a transverse magnetic field
• Anisotropy of Magnetic Interactions in the Spin-Ladder Compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Neutron scattering evidence for isolated spin-1/2 ladders in (C${}_5$D${}_{12}$N)${}_2$CuBr${}_4$
• Giant lattice softening at a Lifshitz transition in Sr${}_2$RuO${}_4$
• Spinon localization in the heat transport of the spin-1/2 ladder compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• Bound states and field-polarized Haldane modes in a quantum spin ladder
• Magnetostrictive Neel ordering of the spin-5/2 ladder compound BaMn2O3: distortion-induced lifting of geometrical frustration
• Electron spin resonance shift in spin ladder compounds
• Quantum criticality in itinerant metamagnets
• Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
• Dimensional crossover in quantum critical metallic magnets
• Magnetic field induced bound states in spin-$\frac{1}{2}$ ladders
• Thermal expansion of the spin-1/2 Heisenberg-chain compound Cu(C${}_4$H${}_4$N${}_2$)(NO${}_3$)${}_2$
• Thermodynamics of the spin-1/2 two-leg ladder compound $(C_5{H}_{12}N{)}_{2}CuB{r}_4$