Highly Mobile Gapless Excitations in a Two-Dimensional Candidate Quantum Spin Liquid

Quantum Spin Liquid In antiferromagnets, the lowest-energy state is reached when neighboring spins on the underlying lattice point in opposite directions. Because of geometric constraints on some lattices (such as the two-dimensional triangular lattice), this magnetic ordering cannot be achieved even at temperatures close to absolute zero, and these compounds are predicted to be in a quantum spin liquid state. Yamashita et al. (p. 1246) measured the thermal conductivity of a recently identified candidate quantum spin liquid, the organic compound EtMe3Sb[Pd(dmit)2]2, and characterized its lowest-lying excitations. Two types of excitations were observed: ballistically propagating gapless excitations and excitations associated with a finite spin gap. These results contribute to our understanding of this unusual state of matter, which is potentially relevant to other two-dimensional quantum systems. Thermal conductivity measurements on a novel organic insulator help describe its microscopic electronic structure. The nature of quantum spin liquids, a novel state of matter where strong quantum fluctuations destroy the long-range magnetic order even at zero temperature, is a long-standing issue in physics. We measured the low-temperature thermal conductivity of the recently discovered quantum spin liquid candidate, the organic insulator EtMe3Sb[Pd(dmit)2]2. A sizable linear temperature dependence term is clearly resolved in the zero-temperature limit, indicating the presence of gapless excitations with an extremely long mean free path, analogous to excitations near the Fermi surface in pure metals. Its magnetic field dependence suggests a concomitant appearance of spin-gap–like excitations at low temperatures. These findings expose a highly unusual dichotomy that characterizes the low-energy physics of this quantum system.

[1]  S. Fujimoto,et al.  Thermal-transport measurements in a quantum spin-liquid state of the frustrated triangular magnet -(BEDT-TTF) 2 Cu 2 (CN) 3 , 2009 .

[2]  S. Maegawa,et al.  13C NMR study of the spin-liquid state in the triangular quantum antiferromagnet EtMe3Sb[Pd(dmit)2]2 , 2009 .

[3]  N. Trivedi,et al.  Weak Mott insulators on the triangular lattice: Possibility of a gapless nematic quantum spin liquid , 2009, 0907.1710.

[4]  Masatoshi Imada,et al.  Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for κ-(ET)2Cu2(CN)3 , 2002, cond-mat/0203020.

[5]  R. Kato,et al.  Spin-1/2 Heisenberg antiferromagnets on anisotropic triangular lattice, [Pd(dmit)2] salts – How do they release frustration? , 2005 .

[6]  Y. Shimizu,et al.  Spin liquid state in an organic Mott insulator with a triangular lattice. , 2003, Physical review letters.

[7]  Elser,et al.  Simple variational wave functions for two-dimensional Heisenberg spin-(1/2 antiferromagnets. , 1988, Physical review letters.

[8]  P. Lee An End to the Drought of Quantum Spin Liquids , 2008, Science.

[9]  O. Motrunich Variational study of triangular lattice spin-1/2 model with ring exchanges and spin liquid state in kappa-(ET)2Cu2(CN)3 , 2004, cond-mat/0412556.

[10]  X. Wen Quantum orders and symmetric spin liquids , 2001, cond-mat/0107071.

[11]  Yang Qi,et al.  Dynamics and transport of the Z2 spin liquid: application to kappa-(ET)2Cu2(CN)3. , 2008, Physical review letters.

[12]  Heat transport by lattice and spin excitations in the spin-chain compounds SrCuO 2 and Sr 2 CuO 3 , 2001, cond-mat/0103419.

[13]  M. Ogata,et al.  Possibility of Gapless Spin Liquid State by One-Dimensionalization(Condensed matter: electronic structure and electrical, magnetic, and optical properties) , 2007, 0704.0313.

[14]  Sandro Sorella,et al.  Two spin liquid phases in the spatially anisotropic triangular Heisenberg model , 2006 .

[15]  R. Kato Quantum spin liquid in the spin-1/2 triangular antiferromagnet EtMe$_{3}$Sb[Pd(dmit)$_{2}$]$_{2}$ , 2008 .

[16]  Patrick A. Lee,et al.  Theory of the thermal Hall effect in quantum magnets. , 2009, Physical review letters.

[17]  C. Lhuillier,et al.  Spin-liquid phase of the multiple-spin exchange Hamiltonian on the triangular lattice , 1998, cond-mat/9812329.

[18]  Patrick A. Lee,et al.  U(1) gauge theory of the Hubbard model: spin liquid states and possible application to kappa-(BEDT-TTF)2Cu2(CN)3. , 2005, Physical review letters.

[19]  L. Takhtajan,et al.  What is the spin of a spin wave , 1981 .

[20]  Matthew P. A. Fisher,et al.  Spin Bose-metal phase in a spin-1/2 model with ring exchange on a two-leg triangular strip , 2009, 0902.4210.

[21]  R. Moessner,et al.  Resonating valence bond phase in the triangular lattice quantum dimer model. , 2001, Physical review letters.

[22]  Y. Shimizu,et al.  Thermodynamic properties of a spin-1/2 spin-liquid state in a κ -type organic salt , 2008 .

[23]  F. Haldane Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma model , 1983 .

[24]  R. Laughlin,et al.  Equivalence of the resonating-valence-bond and fractional quantum Hall states. , 1987, Physical review letters.

[25]  J. Schlueter,et al.  Lattice effects and entropy release at the low-temperature phase transition in the spin-liquid candidate kappa-(BEDT-TTF)2Cu2(CN)3. , 2009, Physical review letters.

[26]  Norio Kawakami,et al.  Quantum phase transitions in the Hubbard model on a triangular lattice. , 2008, Physical review letters.

[27]  P. Anderson The Resonating Valence Bond State in La2CuO4 and Superconductivity , 1987, Science.