Low-lying excitations of the three-leg spin tube: A density-matrix renormalization group study

Nishimoto, Sei‐ichi; Arikawa, Mitsuhiro

doi:10.1103/physrevb.78.054421

Cited by 56 publications

(61 citation statements)

References 45 publications

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“…(14,16,17), namely d ′ = d = 1, N = 4 and S = 0. Figure 10 relates to the two-particle irreducible matrix element from H 2 , and depicts all t d|n,d ′ on their respective clusters including a label for reducing contributions to be evaluated according to eqns.…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…(14) are hermitian with, matrix-indices (d ′ , d). Thus, for the remainder we may consider only d ′ d. We begin with Next, we apply H 1 to a two-particle state.…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…N-leg ladders with N > 2 are of particular relevance, not only because they allow for a generalized test of Haldane's conjecture 5 , but also because new, tube-like lattice structures can be realized if periodic transverse boundary conditions apply, such as in [(CuCl 2 tachH) 3 Cl]Cl 2 6 and CsCrF 4 7 with N = 3, Cu 2 Cl 4 ·D 8 C 4 SO 2 8,9 with N = 4, and Na 2 V 3 O 7 10 with N = 9. For N = 3, magnetic frustration surfaces as an additional ingredient, already for tubes with only nearest neighbor exchange, leading to a rich variety of phenomena not present in two-leg ladders [11][12][13][14][15] . Experimentally, the four-spin tube Cu 2 Cl 4 ·D 8 C 4 SO 2 has been suggested to display frustrating antiferromagnetic next-nearest neighbor exchange 8 .…”

Section: Introductionmentioning

confidence: 99%

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Series expansion analysis of a frustrated four-spin tube

Arlego

Brenig

2011

Phys. Rev. B

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We study the magnetism of a frustrated four-leg spin-1/2 ladder with transverse periodic boundary conditions: the frustrated four-spin tube (FFST). Using a combination of series expansion (SE), based on the continuous unitary transformation method and density-matrix renormalization group (DMRG) we analyze the ground-state, the one-, and the two-particle excitations in the regime of strong rung-coupling. We find several marked differences of the FFST with respect to standard two-leg ladders. First we show that frustration destabilizes the spin-gap phase of the FFST which is adiabatically connected to the limit of decoupled rung singlets, leading to a first order quantum phase transition at finite inter-rung coupling. Second, we show that apart from the well-know triplon branch of spin-ladders, the FFST sustains additional elementary excitations, including a singlon, and additional triplons. Finally we find, that in the two-particle sector the FFST exhibits collective (anti)bound states similar to two-leg ladders, however with a different ordering of the spin-quantum numbers. We show that frustration has significant impact on the FFST leading to a flattening of the ground-state energy landscape, a mass-enhancement of the excitations, and to a relative enhancement of the (anti)binding strength. Where possible we use DMRG to benchmark the findings from our SE calculations, showing excellent agreement.

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Section: Acknowledgmentsmentioning

confidence: 99%

“…(14) are hermitian with, matrix-indices (d ′ , d). Thus, for the remainder we may consider only d ′ d. We begin with Next, we apply H 1 to a two-particle state.…”

Section: Acknowledgmentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Series expansion analysis of a frustrated four-spin tube

Arlego

Brenig

2011

Phys. Rev. B

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“…With the discovery of several spin tube materials, such as [(CuCl 2 tachH) 3 Cl]Cl 2 1 , Na 2 V 3 O 7 2 and Cu 2 Cl 4 · D 8 C 4 SO 2 3 , etc., much effort has been made to investigate the low-lying excitations [4][5][6][7][8][9] , long range order 10,11 , phase transitions 5,12 , magnetization plateau [13][14][15] and other ground state properties of spin tubes due to the inter-chain frustrated couplings. A spin tube, geometrically, can be seen as a multi-leg spin ladder with periodic condition along the rung direction (See Fig.…”

Section: Introductionmentioning

confidence: 99%

Low-energy effective theory and two distinct critical phases in a spin-12frustrated three-leg spin tube

et al. 2012

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Motivated by the crystal structures of [(CuCl2tachH)3Cl]Cl2 and Ca3Co2O6, we develop a lowenergy effective theory using the bosonization technique for a spin-1/2 frustrated three-leg spin tube with trigonal prism units in two limit cases. The features obtained with the effective theory are numerically elucidated by the density matrix renormalization group method. Three different quantum phases in the ground state of the system, say, one gapped dimerized phase and two distinct gapless phases, are identified, where the two gapless phases are found to have the conformal central charge c = 1 and 3/2, respectively. Spin gaps, spin and dimer correlation functions, and the entanglement entropy are obtained. In particular, it is disclosed that the critical phase with c = 3/2 is the consequence of spin frustrations, which might belong to SU(2) k=2 Wess-Zumino-WittenNovikov universality class, and is induced by the twist term in the bosonized Hamiltonian density.

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“…The density matrix renormalization group (DMRG) analysis [2] indicated a large spin gap in the strong rung coupling limit, in contrast to the three-leg spin ladder which is gapless. After the synthesization of the S = 1/2 three-leg spin tube [(CuCl 2 tachH) 3 Cl]Cl 2 [3], several theoretical works on the S = 1/2 three-leg spin tube have been published [4][5][6][7][8][9][10], as well as another experimental work for CsCrF 4 [11]. In our previous study [4,9,10], the asymmetric rung interaction was introduced and the quantum phase transition from the gapped to the gapless phases with respect to the assymmetric lattice distortion was investigated.…”

mentioning

confidence: 99%