Spin Gap and Hole Pairing in the Spin-Ladder Cuprate Sr14-xAxCu24O41(A=Ca and La) Studied by the Thermal Conductivity

Kudo, Kazuhiro; Ishikawa, Satoshi; Noji, Takashi; Adachi, Tadashi; Koike, Yasuhiro; Maki, K.; Tsuji, Shintaro; Kumagai, K.

doi:10.1143/jpsj.70.437

Cited by 73 publications

(44 citation statements)

References 44 publications

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“…Among them anomalously enhanced thermal conductivity [2][3][4][5][6][7] and ballistic spin transport [8,9] have been reported in experiments on one-or quasi one-dimensional materials with weak interchain interactions. Theoretically, the existence of such anomalous properties has also been pointed out especially in quantum integrable systems.…”

Section: Introductionmentioning

confidence: 98%

Non-dissipative thermal transport in the massive regimes of theXXZchain

Sakai¹,

Klümper²

2003

J. Phys. A: Math. Gen.

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We present exact results on the thermal conductivity of the one-dimensional spin-1/2 XXZ model in the massive antiferromagnetic and ferromagnetic regimes. The thermal Drude weight is calculated by a lattice path integral formulation. Numerical results for wide ranges of temperature and anisotropy as well as analytical results in the low and high temperature limits are presented. At finite temperature, the thermal Drude weight is finite and hence there is non-dissipative thermal transport even in the massive regime. At low temperature, the thermal Drude weight behaves as D(T ) ∼ exp(−δ/T )/ √ T where δ is the one-spinon (respectively one-magnon) excitation energy for the antiferromagnetic (respectively ferromagnetic) regime.

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Section: Introductionmentioning

confidence: 98%

Non-dissipative thermal transport in the massive regimes of theXXZchain

Sakai¹,

Klümper²

2003

J. Phys. A: Math. Gen.

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“…21 The most pronounced effects, however, have been observed in (Sr,Ca) 14 Cu 24 O 41 , containing double-leg Cu-O ladders with 180 • Cu-O-Cu bond angles. 22,23 The thermal conductivity along the ladder direction exhibits an anomalous double-peak temperature dependence. It has fairly well been established by a detailed analysis 22 that this two-peak feature in κ(T ) of (La,Sr,Ca) 14 Cu 24 O 41 is caused by two main contributions, one due to phonons, responsible for the low-temperature peak, and the other due to itinerant spin excitations in the ladders, causing the additional high-temperature maximum.…”

Section: Introductionmentioning

confidence: 99%

Heat transport by lattice and spin excitations in the spin-chain compoundsSrCuO2andSr2
Sologubenko
¹
,
Giannò
²
,
Ott
³

et al. 2001
Phys. Rev. B
212
24
255
5
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We present the results of measurements of the thermal conductivity of the quasi one-dimensional spin S=1/2 chain compound SrCuO2 in the temperature range between 0.4 and 300 K along the directions parallel and perpendicular to the chains. An anomalously enhanced thermal conductivity is observed along the chains. The analysis of the present data and a comparison with analogous recent results for Sr2CuO3 and other similar materials demonstrates that this behavior is generic for cuprates with copper-oxygen chains and strong intrachain interactions. The observed anomalies are attributed to the one-dimensional energy transport by spin excitations (spinons), limited by the interaction between spin and lattice excitations. The energy transport along the spin chains has a non-diffusive character, in agreement with theoretical predictions for integrable models. 66.70.+f, 75.40.Gb, 63.20.Ls

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“…Recently, growing experimental evidence has been found that magnetic excitations can contribute significantly to the thermal conductivity of various quasi-one and quasi-two-dimensional materials [1][2][3][4][5][6][7][8][9][10][11] . Stimulated by these observations, many theoretical activities have addressed the issue of heat transport in one-dimensional spin systems [12][13][14][15][16][17][18][19][20][21][22] .…”

Section: Introductionmentioning

confidence: 99%

Zero-frequency transport properties of one-dimensional spin-12systems

et al. 2003

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We report a detailed analysis of the Drude weights for both thermal and spin transport in one dimensional spin-1/2 systems by means of exact diagonalization and analytic approaches at finite temperatures. Transport properties are studied first for the integrable XXZ model and second for various nonintegrable systems such as the dimerized chain, the frustrated chain, and the spin ladder. We compare our results obtained by exact diagonalization and mean-field theory with those of the Bethe ansatz, bosonization and other numerical studies in the case of the anisotropic Heisenberg model both in the gapless and gapped regime. In particular, we find indications that the Drude weight for spin transport is finite in the thermodynamic limit for the isotropic chain. For the nonintegrable models, a finite-size analysis of the numerical data for the Drude weights is presented covering the entire parameter space of the dimerized and frustrated chain. We also discuss which conclusions can be drawn from bosonization regarding the question of whether the Drude weights are finite or not. One of our main results is that the Drude weights vanish in the thermodynamic limit for nonintegrable models. I. INTRODUCTIONDue to their relevance for modeling the magnetic properties of several quasi-one-dimensional materials, dimerized and frustrated spin-1/2 chains and ladders are models of great and current interest. Recently, growing experimental evidence has been found that magnetic excitations can contribute significantly to the thermal conductivity of various quasi-one and quasi-two-dimensional materials [1][2][3][4][5][6][7][8][9][10][11] . Stimulated by these observations, many theoretical activities have addressed the issue of heat transport in one-dimensional spin systems [12][13][14][15][16][17][18][19][20][21][22] . While spin transport has been a topic of numerous theoretical investigations , the theory of thermal transport is less well understood. One of the key questions is to understand under which conditions transport is ballistic, i.e., dissipationless. The criterion for this is the existence of a singularity at zero frequency in the real part of the conductivity. Therefore, one is interested in the integrated weight of this singularity -the so called Drude weight -in the thermodynamic limit. The appearance of a nonzero Drude weight is often ascribed to the influence of conservation laws on transport properties 30,38,43,46,47 . For example, in the case of the Heisenberg chain the energy-current operator is conserved 30,48 implying a nonzero thermal Drude weight at all temperatures. Another widely discussed and related issue is the difference between transport in integrable models compared to nonintegrable ones 15,17,20,27,33,41,43 . The purpose of the present paper is to provide a systematic study of both the Drude weight for spin and thermal transport at finite temperatures by means of exact diagonalization on finite systems and analytic methods. The dependence on exchange coupling anisotropy, frustration and dimerization ...

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Spin Gap and Hole Pairing in the Spin-Ladder Cuprate Sr_14-xA_xCu₂₄O₄₁(A=Ca and La) Studied by the Thermal Conductivity

Cited by 73 publications

References 44 publications

Non-dissipative thermal transport in the massive regimes of theXXZchain

Non-dissipative thermal transport in the massive regimes of theXXZchain

Heat transport by lattice and spin excitations in the spin-chain compoundsSrCuO2andSr2
Sologubenko
¹
,
Giannò
²
,
Ott
³

et al. 2001
Phys. Rev. B
212
24
255
5
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Zero-frequency transport properties of one-dimensional spin-12systems

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Spin Gap and Hole Pairing in the Spin-Ladder Cuprate Sr14-xAxCu24O41(A=Ca and La) Studied by the Thermal Conductivity

Cited by 73 publications

References 44 publications

Non-dissipative thermal transport in the massive regimes of theXXZchain

Non-dissipative thermal transport in the massive regimes of theXXZchain

Heat transport by lattice and spin excitations in the spin-chain compoundsSrCuO2andSr2Sologubenko1, Giannò2, Ott3 et al. 2001Phys. Rev. B212242555View full textAdd to dashboardCite

Zero-frequency transport properties of one-dimensional spin-12systems

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Spin Gap and Hole Pairing in the Spin-Ladder Cuprate Sr_14-xA_xCu₂₄O₄₁(A=Ca and La) Studied by the Thermal Conductivity

Heat transport by lattice and spin excitations in the spin-chain compoundsSrCuO2andSr2
Sologubenko
¹
,
Giannò
²
,
Ott
³

et al. 2001
Phys. Rev. B
212
24
255
5
View full text Add to dashboard Cite