Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets

Furuya, Shunsuke C.; Giamarchi, Thierry

doi:10.1103/physrevb.89.205131

Cited by 34 publications

(21 citation statements)

References 43 publications

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“…Therefore, this argument has to be modified when applied to, for instance, a magnetic order that completely breaks the SU(2) symmetry and has a ferromagnetic order S z , an example of which in 1 + 1 dimensions is recently discussed in Ref. [51] [52]. Even for this case, we can still argue that the ferromagnetic long-range order will not be completely destroyed by quantum fluctuations.…”

Section: Spontaneous Symmetry Breaking In 1+1 Dimensionsmentioning

confidence: 99%

Effective Lagrangian for Nonrelativistic Systems

2014

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The effective Lagrangian for Nambu-Goldstone bosons (NGBs) in systems without Lorentz invariance has a novel feature that some of the NGBs are canonically conjugate to each other, hence describing 1 dynamical degree of freedom by two NGB fields. We develop explicit forms of their effective Lagrangian up to the quadratic order in derivatives. We clarify the counting rules of NGB degrees of freedom and completely classify possibilities of such canonically conjugate pairs based on the topology of the coset spaces. Its consequence on the dispersion relations of the NGBs is clarified. We also present simple scaling arguments to see whether interactions among NGBs are marginal or irrelevant, which justifies a lore in the literature about the possibility of symmetry breaking in 1 þ 1 dimensions.

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Section: Spontaneous Symmetry Breaking In 1+1 Dimensionsmentioning

confidence: 99%

Effective Lagrangian for Nonrelativistic Systems

2014

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“…The controllability of the destabilization of the ferrimagnetism in the dice-lattice antiferromagnet has not been investigated so far and then is a future issue. In one-dimensional systems, several cases on various lattice structures show their spontaneous magnetization that changes gradually when a part of interactions is continuously varied [57][58][59][60][61][62][63][64][65][66] . These states of the one-dimensional systems reveal nontrivial modulations in their local magnetization.…”

Section: Resultsmentioning

confidence: 99%

The Destabilization of the Ferrimagnetic Ground State of a Spin-1/2 Heisenberg Antiferromagnet Owing to Frustrations

Nakano

2018

J. Jpn. Soc. Powder Powder Metallurgy

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The S = 1/2 Heisenberg antiferromagnet on the Lieb lattice accompanied by frustrating interactions is studied by the numerical-diagonalization method. Numerical results suggest that the model of the lattice obtained by combination of the Lieb lattice and the square lattice shows nontrivial states with nonzero spontaneous magnetization smaller than one third of the saturation magnetization when the strength of the frustrating interaction is in a specific region. In the region, the spontaneous magnetization gradually changes by varying the strength of the frustration. We find that the quantum effect in frustrating interactions is related to the appearance of the phase in which such weak spontaneous magnetizations occur.

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“…As a result, they induce effective interactions between the cluster spins, and form novel exotic phases such as Haldane phases with STSB, ferrimagnetic phases with STSB, and partial ferrimagnetic (PF) phase that can be regarded as spontaneously magnetized Luttinger liquid. 10,11) In addition, a double Haldane phase [12][13][14][15][16] is found for strong type B distortion. It should be remarked that the S1DC with type A distortion is realized in real material, 17,18) S τ (1) although the exchange parameters of the material cannot be controlled freely to realize the most exotic Haldane phases with STSB.…”

Section: Introductionmentioning

confidence: 93%

Ground State Phases of Distorted S = 1 Diamond Chains

Hida

2019

J. Phys. Soc. Jpn.

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The ground states of distorted S = 1 diamond chains are investigated for two types of distortion called type A and B [J. Phys. Soc. Jpn. 79 (2010) 114703]. For the type A distortion, Haldane phases with and without spontaneous translational symmetry breakdown are present for large values of parameter λ that parametrize the strength of frustration. For small λ, the Haldane phase and two quantized ferrimagnetic phases in the undistorted chain remain stable even for strong distortion. In contrast, for the type B distortion, the quantized ferrimagnetic phases with and without spontaneous translational symmetry breakdown are present for large λ. The partial ferrimagnetic phases emerge between them. For small λ, two quantized ferrimagnetic phases remain and the partial ferrimagnetic phases also emerge between them. The Haldane phase between the two kinds of ferrimagnetic phases turns into a topologically trivial double Haldane phase for strong distortion.

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Spontaneously magnetized Tomonaga-Luttinger liquid in frustrated quantum antiferromagnets

Cited by 34 publications

References 43 publications

Effective Lagrangian for Nonrelativistic Systems

Effective Lagrangian for Nonrelativistic Systems

The Destabilization of the Ferrimagnetic Ground State of a Spin-1/2 Heisenberg Antiferromagnet Owing to Frustrations

Ground State Phases of Distorted S = 1 Diamond Chains

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