Surprises on the way from one- to two-dimensional quantum magnets: The ladder materials

Science

Volumn 271, Issue 5249, 1996, Pages 618-623

  Dagotto, Elbio ^a   Rice, T M ^b,c  

^a Florida State University   (United States)

^b LUCENT TECHNOLOGIES   (United States)

^c ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042935965     PISSN: 00368075     EISSN: None     Source Type: Journal    
DOI: 10.1126/science.271.5249.618     Document Type: Article

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51. 3-ladder building blocks has been achieved (S. A. Carter et al., preprint).
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53. 2 5 have been recently calculated by L. F Mattheiss (preprint).
54. M. Azuma, M Takano, T. Ishida, and K. Okuda (preprint) recently presented magnetic susceptibility measurements for Zn-doped 2- and 3-leg ladders.
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66. c superconductors where the infrared Drude weight scales as the hole concentration, whereas the Fermi surface is large and electron-like (10). 50. Numerical studies in odd-leg ladders beyond the single chain have not been explicitly carried out. However, the discussion linking the spin gap with hole-pair formation suggests that the tendency to superconduct in the odd-leg ladders is weaker than in the even-leg ladders. The issue of superconductivity in the 2D limit, reached when the width of the ladders increases, is subtle and is not addressed here.
67. Several recent publications have addressed these issues: N. Nagaosa (Univ. of Tokyo preprint) claimed that the low-energy physics of doped ladders is described in terms of bipolarons; L. Balents and M. P. A. Fisher (ITP preprint), studying the Hubbard model ladder with a controlled RG method, found a phase with a finite spin gap and a single gapless charge mode that they interpret as the analog of a 1D superconductor or a charge density wave; and H. J. Schulz (Orsay preprint) studied two coupled Luttinger liquids, reporting a spin gap in the spectrum and either d-type pairing or orbital AF fluctuations in the ground state. The addition of a long-range Coulomb force to the t - J model leads to a competition between superconductivity and charge-density wave states [see U. Lòw, V. J. Emery, K. Fabricius, S. A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994); S. Haas, E Dagotto, A. Nazarenko, J. Riera, Phys. Rev. B 51, 5989 (1995)].
68. Several recent publications have addressed these issues: N. Nagaosa (Univ. of Tokyo preprint) claimed that the low-energy physics of doped ladders is described in terms of bipolarons; L. Balents and M. P. A. Fisher (ITP preprint), studying the Hubbard model ladder with a controlled RG method, found a phase with a finite spin gap and a single gapless charge mode that they interpret as the analog of a 1D superconductor or a charge density wave; and H. J. Schulz (Orsay preprint) studied two coupled Luttinger liquids, reporting a spin gap in the spectrum and either d-type pairing or orbital AF fluctuations in the ground state. The addition of a long-range Coulomb force to the t - J model leads to a competition between superconductivity and charge-density wave states [see U. Lòw, V. J. Emery, K. Fabricius, S. A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994); S. Haas, E Dagotto, A. Nazarenko, J. Riera, Phys. Rev. B 51, 5989 (1995)].
69. Several recent publications have addressed these issues: N. Nagaosa (Univ. of Tokyo preprint) claimed that the low-energy physics of doped ladders is described in terms of bipolarons; L. Balents and M. P. A. Fisher (ITP preprint), studying the Hubbard model ladder with a controlled RG method, found a phase with a finite spin gap and a single gapless charge mode that they interpret as the analog of a 1D superconductor or a charge density wave; and H. J. Schulz (Orsay preprint) studied two coupled Luttinger liquids, reporting a spin gap in the spectrum and either d-type pairing or orbital AF fluctuations in the ground state. The addition of a long-range Coulomb force to the t - J model leads to a competition between superconductivity and charge-density wave states [see U. Lòw, V. J. Emery, K. Fabricius, S. A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994); S. Haas, E Dagotto, A. Nazarenko, J. Riera, Phys. Rev. B 51, 5989 (1995)].
70. Several recent publications have addressed these issues: N. Nagaosa (Univ. of Tokyo preprint) claimed that the low-energy physics of doped ladders is described in terms of bipolarons; L. Balents and M. P. A. Fisher (ITP preprint), studying the Hubbard model ladder with a controlled RG method, found a phase with a finite spin gap and a single gapless charge mode that they interpret as the analog of a 1D superconductor or a charge density wave; and H. J. Schulz (Orsay preprint) studied two coupled Luttinger liquids, reporting a spin gap in the spectrum and either d-type pairing or orbital AF fluctuations in the ground state. The addition of a long-range Coulomb force to the t - J model leads to a competition between superconductivity and charge-density wave states [see U. Lòw, V. J. Emery, K. Fabricius, S. A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994); S. Haas, E Dagotto, A. Nazarenko, J. Riera, Phys. Rev. B 51, 5989 (1995)].
71. Several recent publications have addressed these issues: N. Nagaosa (Univ. of Tokyo preprint) claimed that the low-energy physics of doped ladders is described in terms of bipolarons; L. Balents and M. P. A. Fisher (ITP preprint), studying the Hubbard model ladder with a controlled RG method, found a phase with a finite spin gap and a single gapless charge mode that they interpret as the analog of a 1D superconductor or a charge density wave; and H. J. Schulz (Orsay preprint) studied two coupled Luttinger liquids, reporting a spin gap in the spectrum and either d-type pairing or orbital AF fluctuations in the ground state. The addition of a long-range Coulomb force to the t - J model leads to a competition between superconductivity and charge-density wave states [see U. Lòw, V. J. Emery, K. Fabricius, S. A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994); S. Haas, E Dagotto, A. Nazarenko, J. Riera, Phys. Rev. B 51, 5989 (1995)].
72. We thank M. Azuma, T. Bames, V J. Emery, H. Hiroi, A. Moreo, J. Riera, D. J Scalapino, M. Takano, M. Troyer, and H Tsunetsugu for their help in the preparation of this review. E D. specially thanks the Office of Naval Research for its support under grant ONR N00014-93-0495. He also thanks the National High Magnetic Field Laboratory and the Center for Materials Research and Technology (MARTECH) for additional support.