Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets
arXiv:1403.1513 · doi:10.1103/PhysRevB.89.205131
Abstract
We develop a theory of spontaneously magnetized Tomonaga-Luttinger liquid (SMTLL) in geometrically frustrated quasi-one-dimensional quantum magnets by taking an ferrimagnet on a union-jack lattice as an example. We show that a strong frustration leads to a spontaneous magnetization because of the ferrimagnetic nature of lattice. Due to the ferrimagnetic order, the local magnetization has an incommensurate oscillation with the position. We show that the spontaneously magnetized TLL is smoothly connected to the existence of a Nambu-Goldstone boson in the canted ferrimagnetic phase of a two-dimensional frustrated antiferromagnet.
References in corpus (11)
- Controlling Luttinger liquid physics in spin ladders under a magnetic field
- Counting rule for Nambu-Goldstone modes in nonrelativistic systems
- Possible Quasi-One-Dimensional Fermi Surface in La_{2-x}Sr_{x}CuO_4
- Helium-4 Luttinger liquids in nanopores
- Dirac half-metal in a triangular ferrimagnet
- Magnetic order on a frustrated spin-1/2 Heisenberg antiferromagnet on the Union Jack lattice
- Frustration Induced Quantum Phases in Mixed Spin Chain with Frustrated Side Chains
- Frustration-induced quantum phase transitions in a quasi-one-dimensional ferrimagnet: Hard-core boson map and the Ton ks-Girardeau limit
- Haldane Phases and Ferrimagnetic Phases with Spontaneous Translational Symmetry Breakdown in Distorted Mixed Diamond Chains with Spins 1 and 1/2
- Ferrimagnetic States in S=1/2 Frustrated Heisenberg Chains with Period 3 Exchange Modulation
- Goldstone bosons in presence of charge density
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- Effective Lagrangian for Nonrelativistic Systems
- Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice
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- Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
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- Magnetic field - temperature phase diagram of ferrimagnetic alternating chains: spin-wave theory from a fully polarized vacuum
- Magnetic and nonmagnetic phases in doped AB2 t-J Hubbard chains
- Phase diagram of the alternating-spin Heisenberg chain with extra isotropic three-body exchange interactions
- Magnetic phase separation in a frustrated ferrimagnetic chain under a magnetic field
- Characterization of Topological Phases of Spin-1/2 Frustrated Ferromagnetic-Antiferromagnetic Alternating Heisenberg Chains by Entanglement Spectrum
- Partial Ferrimagnetism in S=1/2 Heisenberg Ladders with a Ferromagnetic Leg, an Antiferromagnetic Leg, and Antiferromagnetic Rungs
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- The role of density-dependent magnon hopping and magnon-magnon repulsion in ferrimagnetic spin-(1/2, ) chains in a magnetic field
- Ground-State Phases of Alternating-Bond S = 1 Diamond Chains
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- Ground-State Phase Diagram of (1/2,1/2,1) Mixed Diamond Chains
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