Exact solution of the isotropic Heisenberg chain with arbitrary spins: Thermodynamics of the model

Babujian, H.

doi:10.1016/0550-3213(83)90668-5

Cited by 389 publications

(267 citation statements)

References 14 publications

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“…At low temperatures for the one-dimensional model, Bethe ansatz [18] and conformal theory [19] predict a quadratic dependence of the internal energy U (T ) on temperature. Whereas for two-(three)-dimensional models, U (T ) depends in the leading order spin wave theory on the third (fourth) power of temperature [20,21].…”

Section: The Internal Energymentioning

confidence: 99%

Properties of the two-dimensional spin-1/2 Heisenberg model on a honeycomb lattice with interlayer coupling

Löw¹

2009

Condens. Matter Phys.

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The magnetic properties of the two-dimensional S = 1 2 (quantum) antiferromagnetic Heisenberg model on a honeycomb lattice with and without interlayer coupling are studied by means of a continuous Euclidean time Quantum-Monte-Carlo algorithm. The internal energy, the magnetic susceptibility and the staggered magnetization are determined in the full temperature range. For the two-dimensional system the groundstate energy/bond is found to be E hc 0 = −0.36303 (13), and the zero temperature staggered magnetization m st = 0.2681(8). For coupled planes of honeycomb systems a phase transition from an ordered phase to a disordered phase is found at T /J = 0.695(10).

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Section: The Internal Energymentioning

confidence: 99%

Properties of the two-dimensional spin-1/2 Heisenberg model on a honeycomb lattice with interlayer coupling

Löw¹

2009

Condens. Matter Phys.

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“…The results (4.40) and (4.41) are consistent with the susceptibility in the SU(2) k WZNW critical theory with marginally irrelevant operators, which gives the logarithmic correction {1 + k/[2 ln(Λ/T )]} where k is the level of SU(2) algebra. 70 Note that k = 2 for a two-leg ladder, while k = 1 for the S = 1 2 single chain. Fig.…”

Section: The Uniform Spin Susceptibility χS(t )mentioning

confidence: 99%

Magnetic response and quantum critical behavior in the doped two-leg extended Hubbard ladder

Tsuchiizu

Suzumura

2005

Phys. Rev. B

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We have investigated quantum critical behavior in the doped two-leg extended Hubbard ladder, by using a weak-coupling bosonization method. In the ground state, the dominant fluctuation changes from the conventional d-wave-like superconducting (SCd) state into density-wave states, with increasing nearest-neighbor repulsions and/or decreasing doping rate. The competition between the SCd state and the charge-density-wave state coexisting with the p-density-wave state becomes noticeable on the critical point, at which the gap for magnetic excitations vanishes. Based on the Majorana-fermion description of the effective theory, we calculate the temperature dependence of the magnetic response such as the spin susceptibility and the NMR relaxation rate, which exhibit unusual properties due to two kinds of spin excitation modes. On the quantum critical point, the spin susceptibility shows paramagnetic behavior with logarithmic corrections and the NMR relaxation rate also exhibits anomalous power-law behavior. We discuss the commensurability effect due to the umklapp scattering and relevance to the two-leg ladder compounds Sr14−xCaxCu24O41.

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“…and is known to be solvable by Bethe ansatz 14,69,70 for arbitrary values of the magnetic field H. The ground state is described in terms of the integral equation…”

Section: Discussionmentioning

confidence: 99%

Phase diagram and continuous pair-unbinding transition of the bilinear-biquadraticS=1Heisenberg chain in a magnetic field

et al. 2011

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We investigate the properties of the Heisenberg S = 1 chain with bilinear and biquadratic interactions in a magnetic field using the Density Matrix Renormalization Group, Bethe ansatz and field theoretical considerations. In a large region of the parameter space, we identify a magnetized ferroquadrupolar Luttinger liquid consisting of a quasi-condensate of bound magnon pairs. This liquid undergoes a continuous pair unbinding transition to a more conventional Luttinger liquid region obtained by polarizing the system above the Haldane gap region. This pair unbinding transition is shown to be in the Ising universality class on top of a Luttinger liquid, leading to an effective central charge 3/2. We also revisit the nature of the partially polarized Luttinger liquid around and above the Uimin-Lai-Sutherland point. Our results confirm that this is a two-component liquid and rule out the formation of a single-component vector chiral phase.

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Exact solution of the isotropic Heisenberg chain with arbitrary spins: Thermodynamics of the model

Cited by 389 publications

References 14 publications

Properties of the two-dimensional spin-1/2 Heisenberg model on a honeycomb lattice with interlayer coupling

Properties of the two-dimensional spin-1/2 Heisenberg model on a honeycomb lattice with interlayer coupling

Magnetic response and quantum critical behavior in the doped two-leg extended Hubbard ladder

Phase diagram and continuous pair-unbinding transition of the bilinear-biquadraticS=1Heisenberg chain in a magnetic field

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