Spin and thermal conductivity of quantum spin ladders
arXiv:1412.6047 · doi:10.1103/PhysRevB.91.115130
Abstract
We study the spin and thermal conductivity of spin-1/2 ladders at finite temperature. This is relevant for experiments with quantum magnets. Using a state-of-the-art density matrix renormalization group algorithm, we compute the current autocorrelation functions on the real-time axis and then carry out a Fourier integral to extract the frequency dependence of the corresponding conductivities. The finite-time error is analyzed carefully. We first investigate the limiting case of spin-1/2 XXZ chains, for which our analysis suggests non-zero dc-conductivities in all interacting cases irrespective of the presence or absence of spin Drude weights. For ladders, we observe that all models studied are normal conductors with no ballistic contribution. Nonetheless, only the high-temperature spin conductivity of XX ladders has a simple diffusive, Drude-like form, while Heisenberg ladders exhibit a more complicated low-frequency behavior. We compute the dc spin conductivity down to temperatures of the order of T~0.5J, where J is the exchange coupling along the legs of the ladder. We further extract mean-free paths and discuss our results in relation to thermal conductivity measurements on quantum magnets.
References in corpus (32)
- The density-matrix renormalization group in the age of matrix product states
- Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
- Real time evolution using the density matrix renormalization group
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Classical simulation of infinite-size quantum lattice systems in one spatial dimension
- Matrix product states represent ground states faithfully
- Open XXZ spin chain: Nonequilibrium steady state and strict bound on ballistic transport
- Spin transport in a one-dimensional anisotropic Heisenberg model
- Far-from-equilibrium spin transport in Heisenberg quantum magnets
- Violation of the Wiedemann-Franz Law in a Single-Electron Transistor
- Conservation laws, integrability and transport in one-dimensional quantum systems
- Spectral functions in one-dimensional quantum systems at T>0
- Heat conduction in low-dimensional quantum magnets
- Thermal conductivity via magnetic excitations in spin-chain materials
- One- and Two-Triplon Spectra of a Cuprate Ladder
- A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
- Magnetothermal transport in the spin-1/2 chains of copper pyrazine dinitrate
- Universal relaxational dynamics of gapped one dimensional models in the quantum sine-Gordon universality class
- Density dynamics in translationally invariant spin-1/2 chains at high temperatures: a current auto-correlation approach to finite time- and length-scales
- Real-time dynamics at finite temperature by DMRG: A path-integral approach
- Coexistence of diffusive and ballistic transport in a simple spin ladder
- Transport properties of the one-dimensional Hubbard model at finite temperature
- Failure of the Wiedemann-Franz Law in Mesoscopic Conductors
- Scaling of diffusion constants in the spin-1/2 XX ladder
- Magnon Heat Conductivity and Mean Free Paths in Two-Leg Spin Ladders: A Model-Independent Determination
- Finite Drude weight for 1D low temperature conductors
- Comment on "Anomalous Thermal Conductivity of Frustrated Heisenberg Spin Chains and Ladders"
- Heat transport of clean spin-ladders coupled to phonons: Umklapp scattering and drag
- Spin hydrodynamics in the S = 1/2 anisotropic Heisenberg chain
- Field-dependent spin and heat conductivities of dimerized spin-1/2 chains
- Thermal conductivity of one-dimensional spin-1/2 systems
- Thermal drag revisited: Boltzmann versus Kubo
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- Quantum dynamics of thermalizing systems
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- Coexistence of diffusive and ballistic transport in integrable quantum lattice models
- Integrability breaking in the Rule 54 cellular automaton
- Low-temperature heat transport of spin-gapped quantum magnets
- Magnetic excitations and transport properties in frustrated ferromagnetic chain