Partial Ferrimagnetism in S=1/2 Heisenberg Ladders with a Ferromagnetic Leg, an Antiferromagnetic Leg, and Antiferromagnetic Rungs

Abstract

Ground-state and finite-temperature properties of $S=1/2$ Heisenberg ladders with a ferromagnetic leg, an antiferromagnetic leg, and antiferromagnetic rungs are studied. It is shown that a partial ferrimagnetic phase extends over a wide parameter range in the ground state. The numerical results are supported by an analytical calculation based on a mapping onto the nonlinear $\sigma$ model and a perturbation calculation from the strong-rung limit. It is shown that the partial ferrimagnetic state is a spontaneously magnetized Tomonaga--Luttinger liquid with incommensurate magnetic correlation, which is confirmed by a DMRG calculation. The finite-temperature magnetic susceptibility is calculated using the thermal pure quantum state method. It is suggested that the susceptibility diverges as $T^{-2}$ in the ferrimagnetic phases as in the case of ferromagnetic Heisenberg chains.

7 pages, 8 figures

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• Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated Side Chains
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• Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
• Frustrated spin-1/2 ladder with ferro- and antiferromagnetic legs
• The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, $S$) chains in a magnetic field
• Ground-State Phase Diagram of an Anisotropic S=1/2 Ladder with Different Leg Interactions
• Ground-State Phases of Alternating-Bond S = 1 Diamond Chains
• Ground State Phases of Distorted $S=1$ Diamond Chains