Exact results for the thermal and magnetic properties of strong coupling ladder compounds

Abstract

We investigate the thermal and magnetic properties of the integrable su(4) ladder model by means of the quantum transfer matrix method. The magnetic susceptibility, specific heat, magnetic entropy and high field magnetization are evaluated from the free energy derived via the recently proposed method of high temperature expansion for exactly solved models. We show that the integrable model can be used to describe the physics of the strong coupling ladder compounds. Excellent agreement is seen between the theoretical results and the experimental data for the known ladder compounds (5IAP)${}_2$CuBr${}_4$$\cdot$2H${}_2$O, Cu${}_2$(C${}_5$H${}_{12}$N${}_2$)${}_2$Cl${}_4$ etc.

arXiv comment10 pages, 5 figures

References in corpus (19)

• Surprises on the Way from 1D to 2D Quantum Magnets: the Novel Ladder Materials
• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Thermodynamics and spin gap of the Heisenberg ladder calculated by the look-ahead Lanczos algorithm
• Functional Relations in Solvable Lattice Models I: Functional Relations and Representation Theory
• One-dimensional spin-liquid without magnon excitations
• Non-Haldane Spin Liquid Models with Exact Ground States
• Zero Temperature Phase Transition in Spin-ladders: Phase Diagram and Dynamical studies of Cu(Hp)Cl
• NMR study of the S=1/2 Heisenberg Ladder Cu2(C5H12N2)2Cl4 : Quantum phase transition and critical dynamics
• Strong Coupling Expansions for Antiferromagnetic Heisenberg S=1/2 Ladders
• Magnetic properties of a new molecular-based spin-ladder system: (5IAP)2CuBr4*2H2O
• Exact solution of a spin-ladder model
• Identification of Nuclear Relaxation Processes in a Gapped Quantum Magnet: Proton NMR in the S=1/2 Heisenberg Ladder Cu2(C5H12N2)2Cl4
• Exact thermodynamics and Luttinger liquid properties of the integrable t-J model
• Specific heat of an S=1/2 Heisenberg ladder compound Cu${}_2$(C${}_5$H${}_{12}$N${}_2$)${}_2$Cl${}_4$ under magnetic fields
• Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain
• Exactly solvable quantum spin tubes and ladders
• Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model
• Note on the thermodynamic Bethe Ansatz approach to the quantum phase diagram of the strong coupling ladder compounds
• Exactly solvable su(N) mixed spin ladders

Cited by in corpus (15)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Yang-Baxter integrable models in experiments: from condensed matter to ultracold atoms
• Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds
• Integrability of the russian doll BCS model
• Exactly solvable models in atomic and molecular physics
• Nonlinear Integral Equations and high temperature expansion for the $U_q(\widehat{sl}(r+1|s+1))$ Perk-Schultz Model
• Thermal and magnetic properties of spin-1 magnetic chain compounds with large single-ion and in-plane anisotropies
• Nonlinear integral equations for the thermodynamics of the sl(4)-symmetric Uimin-Sutherland model
• Thermal and magnetic properties of integrable spin-1 and spin-3/2 chains with applications to real compounds
• Nonlinear Integral Equations for Thermodynamics of the U_{q}(\hat{sl(r+1)}) Perk-Schultz Model
• Thermodynamics of the spin-1/2 two-leg ladder compound $(C_5{H}_{12}N{)}_{2}CuB{r}_4$
• Exact solution and magnetic properties of an anisotropic spin ladder
• Zero-temperature magnetic-field-induced phase transition between two ordered gapped phases in spin-ladders with ferromagnetic legs
• Scattering matrix for a general gl(2) spin chain
• Magnetization process of the S = 1/2 two-leg organic spin-ladder compound BIP-BNO