Thermodynamics of frustrated quantum spin chains

Abstract

We apply the transfer matrix DMRG to frustrated quantum spin chains, going down to T=0.025 while being in the thermodynamic limit. The incommensurability problem of exact diagonalization and the negative sign problem of quantum Monte Carlo vanish completely. To illustrate the method, we give results for chains with next-nearest neighbor frustration and the delta chain, which has been a testbed for many thermodynamic methods. By comparison, the DMRG proves to be an extremely powerful method for the old problem of the thermodynamics of frustrated systems.

4 pages, 5 eps figures, uses RevTeX

References in corpus (2)

• Thermodynamics of the anisotropic Heisenberg chain calculated by the density matrix renormalization group method
• Vanishing of the negative-sign problem of quantum Monte Carlo simulations in one-dimensional frustrated spin systems

Cited by in corpus (28)

• The density-matrix renormalization group
• New Trends in Density Matrix Renormalization
• Finite Temperature Density Matrix Renormalization using an enlarged Hilbert space
• Geometric frustration in the class of exactly solvable Ising-Heisenberg diamond chains
• Critical properties of the reaction - diffusion model 2A -> 3A, 2A ->0
• Thermodynamics of the (1,1/2) Ferrimagnet in Finite Magnetic Fields
• Antiferromagnetic Zigzag Spin Chain in Magnetic Fields at Finite Temperatures
• Three-body Interactions in one Dimension
• Combination of Ferromagnetic and Antiferromagnetic Features in Heisenberg Ferrimagnets
• Magnetic properties of a S=1/2 zigzag spin chain compound (N_2H_5)CuCl_3
• Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems
• Magnetization process of atacamite: a case of weakly coupled $S=1/2$ sawtooth chains
• High field magnetisation of the frustrated one dimensional quantum antiferromagnet LiCuVO4
• On the choice of the density matrix in the stochastic TMRG
• Frustration-induced eta inversion in the S=1/2 bond-alternating spin chain
• Combined use of translational and spin-rotational invariance for spin systems
• Enhancement of magnetization plateaus in low dimensional spin systems
• Spinon signatures in the critical phase of the (1,1/2) ferrimagnet in a magnetic field
• Thermodynamics of the t-J Ladder: A Stable Finite Temperature Density Matrix Renormalization Group Calculation
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Studying a relativistic field theory at finite chemical potential with the density matrix renormalization group
• Incommensurate structures studied by a modified Density Matrix Renormalization Group Method
• Manipulation by magnetic frustration in ferrotoroidal spin chains via curvature and torsion
• The Density Matrix Renormalization Group technique with periodic boundary conditions
• Large magnetic thermal conductivity induced by frustration in low-dimensional quantum magnets
• The commensurate-disordered phase transition in 2D classical ATNNI model studied by DMRG
• Breakdown of the conventional spin-wave dynamics and its double-constraint modification in the spin-$\frac{1}{2}$ triangular-prism Heisenberg antiferromagnet
• Finding and classifying an infinite number of cases of the marginal phase transition in one-dimensional Ising models