Statics and dynamics of weakly coupled antiferromagnetic spin-1/2 ladders in a magnetic field

Abstract

We investigate weakly coupled spin-1/2 ladders in a magnetic field. The work is motivated by recent experiments on the compound (C5H12N)2CuBr4 (BPCB). We use a combination of numerical and analytical methods, in particular the density matrix renormalization group (DMRG) technique, to explore the phase diagram and the excitation spectra of such a system. We give detailed results on the temperature dependence of the magnetization and the specific heat, and the magnetic field dependence of the nuclear magnetic resonance (NMR) relaxation rate of single ladders. For coupled ladders, treating the weak interladder coupling within a mean-field or quantum Monte Carlo approach, we compute the transition temperature of triplet condensation and its corresponding antiferromagnetic order parameter. Existing experimental measurements are discussed and compared to our theoretical results. Furthermore we compute, using time dependent DMRG, the dynamical correlations of a single spin ladder. Our results allow to directly describe the inelastic neutron scattering cross section up to high energies. We focus on the evolution of the spectra with the magnetic field and compare their behavior for different couplings. The characteristic features of the spectra are interpreted using different analytical approaches such as the mapping onto a spin chain, a Luttinger liquid (LL) or onto a t-J model. For values of parameters for which such measurements exist, we compare our results to inelastic neutron scattering experiments on the compound BPCB and find excellent agreement. We make additional predictions for the high energy part of the spectrum that are potentially testable in future experiments.

35 pages, 26 figures

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• Minimally Entangled Typical Thermal State Algorithms
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• Controlling Luttinger liquid physics in spin ladders under a magnetic field
• Spectral functions in one-dimensional quantum systems at T>0
• Thermodynamics of the Spin Luttinger-Liquid in a Model Ladder Material
• Spectral Function for the S=1 Heisenberg Antiferromagetic Chain
• Spectral function of spinless fermions on a one-dimensional lattice
• Direct Observation of Magnon Fractionalization in the Quantum Spin Ladder
• Field-Controlled Magnetic Order in the Quantum Spin-Ladder System (Hpip)2CuBr4
• NMR relaxation rate and dynamical structure factors in nematic and multipolar liquids of frustrated spin chains under magnetic fields
• Universal temperature dependence of the magnetization of gapped spin chains
• 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
• Neutron scattering evidence for isolated spin-1/2 ladders in (C${}_5$D${}_{12}$N)${}_2$CuBr${}_4$
• Anisotropy of Magnetic Interactions in the Spin-Ladder Compound (C${}_5$H${}_{12}$N)${}_2$CuBr${}_4$
• 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
• Density-matrix renormalization group methods for momentum- and frequency-resolved dynamical correlation functions
• Mechanisms for Spin-Supersolidity in S=1/2 Spin-Dimer Antiferromagnets
• Edge singularities in high-energy spectra of gapped one-dimensional magnets in strong magnetic fields
• Tomonaga-Luttinger liquid in quasi-one-dimensional antiferromagnet BaCo2V2O8 in magnetic fields
• Improved chain mean-field theory for quasi-one-dimensional quantum magnets

Cited by in corpus (92)

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• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
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• $E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo${}_2$V${}_2$O${}_8$ under Transverse Field
• Symmetric and asymmetric excitations of a strong-leg quantum spin ladder
• Evidence of quantum dimer excitations in Sr${}_3$Ir${}_2$O${}_7$
• Microscopic origin of spin-orbital separation in Sr2CuO3
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• Phase Diagram and Magnetic Excitations of Anisotropic Spin-One Magnets
• Measurement of the Dynamical Structure Factor of a 1D Interacting Fermi Gas
• Dichotomy between Attractive and Repulsive Tomonaga-Luttinger Liquids in Spin Ladders
• Giant magnetic-field dependence of the coupling between spin Tomonaga-Luttinger liquids in BaCo2V2O8
• Dynamical signatures of quasiparticle interactions in quantum spin chains
• Scaling of temporal correlations in an attractive Tomonaga-Luttinger spin liquid
• Luttinger liquid physics from infinite-system DMRG
• Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets
• Field-induced incommensurate phase in the strong-rung spin ladder with ferromagnetic legs
• Spin ladders and quantum simulators for Luttinger liquids
• $z=2$ Quantum Critical Dynamics in a Spin Ladder
• Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$
• Novel Crossover in Coupled Spin Ladders
• Matrix product purifications for canonical ensembles and quantum number distributions
• Some experimental tests of Tomonaga-Luttinger liquids
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Nuclear Magnetic Resonance in High Magnetic Field: Application to Condensed Matter Physics
• Temperature dependence of the NMR relaxation rate 1/T_1 for quantum spin chains
• Luttinger-Liquid Behavior in the Alternating Spin-Chain System Copper Nitrate
• Electron Spin Resonance in Quasi-One-Dimensional Quantum Antiferromagnets: Relevance of Weak Interchain Interactions
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• ESR modes in a Strong-Leg Ladder in the Tomonaga-Luttinger Liquid Phase
• Nuclear magnetic resonance study of the magnetic-field-induced ordered phase in the NiCl2-4SC(NH2)2 compound
• Bound states and field-polarized Haldane modes in a quantum spin ladder
• One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers
• Finite-temperature correlations in a quantum spin chain near saturation
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• Spatiotemporal Crossover between Low- and High-Temperature Dynamical Regimes in the Quantum Heisenberg Magnet
• Magnetic excitation spectra of strongly correlated quasi-one dimensional systems: Heisenberg versus Hubbard-like behavior
• Quantum phase transitions in alternating spin-(1/2, 5/2) Heisenberg chains
• Dynamical response and dimensional crossover for spatially anisotropic antiferromagnets
• Dimensional crossover and phase transitions in coupled chains: Density matrix renormalization group results
• Quantum sine-Gordon dynamics in coupled spin chains
• Steady-state properties of a thermodynamically unbalanced Fermi gas
• Tuning the Kosterlitz-Thouless transition to zero temperature in Anisotropic Boson Systems
• Direct determination of the Tomonaga-Luttinger parameter $K$ in quasi-one-dimensional spin systems
• Electron spin resonance shift in spin ladder compounds
• Topological transition between competing orders in quantum spin chains
• Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets
• Effective S=1/2 description of the S=1 chain with strong easy plane anisotropy
• Magnetic field - temperature phase diagram of ferrimagnetic alternating chains: spin-wave theory from a fully polarized vacuum
• Platforms for the realization and characterization of Tomonaga-Luttinger liquids
• Dynamics of doublon-holon pairs in Hubbard two-leg ladders
• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
• Competing Bose-Glass physics with disorder-induced Bose-Einstein condensation in the doped $S=1$ antiferromagnet Ni(Cl${}_{1-x}$Br${}_x$)${}_2$-4SC(NH${}_2$)${}_2$ at high magnetic fields
• Magnetic field induced bound states in spin-$\frac{1}{2}$ ladders
• Exploring helical phases of matter in bosonic ladders
• Finite temperature dynamical correlations for the dimerized spin-1/2 chain
• Beyond perturbation theory: A time-dependent approach to inelastic scattering spectroscopies in- and away from equilibrium
• Field-induced antiferromagnetism and Tomonaga-Luttinger liquid behavior in the quasi-one-dimensional Ising-Antiferromagnet SrCo2V2O8
• Temperature Dependence of the Effective Interdimeric Exchange Interaction in a Weakly Coupled Antiferromagnetic Dimeric Copper Compound
• Thermal fading of the $1/k^4$-tail of the momentum distribution induced by the hole anomaly
• Magnetic structure of azurite above the 1/3 magnetization plateau
• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
• Thermodynamics of the spin-1/2 two-leg ladder compound $(C_5{H}_{12}N{)}_{2}CuB{r}_4$
• Anisotropy-induced soliton excitation in magnetized strong-rung spin ladders
• Quasi-one-dimensional Bose-Einstein Condensation in the Spin-1/2 Ferromagnetic-leg Ladder 3-I-V
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• Hole Dispersions for Antiferromagnetic Spin-1/2 Two-Leg Ladders by Self-Similar Continuous Unitary Transformations
• Strongly correlated ladders in K-doped $p$-terphenyl crystals
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• Low dimensional correlations under thermal fluctuations
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• From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions
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• Topological to magnetically ordered quantum phase transition in antiferromagnetic spin ladders with long-range interactions
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• Quantized edge magnetizations and their symmetry protection in one-dimensional quantum spin systems
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