The Valence Bond Glass phase

Abstract

We show that a new glassy phase can emerge in presence of strong magnetic frustration and quantum fluctuations. It is a Valence Bond Glass. We study its properties solving the Hubbard-Heisenberg model on a Bethe lattice within the large $N$ limit introduced by Affleck and Marston. We work out the phase diagram that contains Fermi liquid, dimer and valence bond glass phases. This new glassy phase has no electronic or spin gap (although a pseudo-gap is observed), it is characterized by long-range critical valence bond correlations and is not related to any magnetic ordering. As a consequence it is quite different from both valence bond crystals and spin glasses.

References in corpus (11)

• The Bethe lattice spin glass revisited
• An Intrinsic Bond-Centered Electronic Glass with Unidirectional Domains in Underdoped Cuprates
• Quantum Glassiness
• From high temperature supercondutivity to quantum spin liquid: progress in strong correlation physics
• Lattice Glass Models
• Susceptibility and dilution effects of the kagome bi-layer geometrically frustrated network. A Ga-NMR study of SrCr_(9p)Ga_(12-9p)O_(19)
• Large-N solutions of the Heisenberg and Hubbard-Heisenberg models on the anisotropic triangular lattice: application to Cs${}_2$CuCl${}_4$ and to the layered organic superconductors $\kappa$-(BEDT-TTF)${}_2$X
• High-dimensional fractionalization and spinon deconfinement in pyrochlore antiferromagnets
• Structural properties of the geometrically frustrated pyrochlore Tb2Ti2O7
• Aging and memory properties of topologically frustrated magnets
• Effective Hamiltonians and dilution effects in kagome and related antiferromagnets

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• Nearest-neighbor resonating valence bonds in YbMgGaO4
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• Mode-Coupling as a Landau Theory of the Glass Transition
• Theory of the superglass phase
• Randomness induced spin-liquid-like phase in the spin-$1/2$ $J_1-J_2$ triangular Heisenberg model
• Extreme Suppression of Antiferromagnetic Order and Critical Scaling in a Two-Dimensional Random Quantum Magnet
• Valence-Bond-Glass State with Singlet Gap in the Spin-1/2 Square-Lattice Random $J_1$-$J_2$ Heisenberg Antiferromagnet Sr${}_2$CuTe${}_{1-x}$W${}_x$O${}_6$
• Bose-Einstein condensation in quantum glasses
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• AKLT Models with Quantum Spin Glass Ground States
• Quantum-critical scaling properties of the two-dimensional random-singlet state
• Magnetic ground states in kagome YCu${}_3$(OH)${}_6$[(Cl${}_x$Br${}_{1-x}$)${}_{3-y}$(OH)${}_y$]
• Valence bond glass state in the 4$d^1$ fcc antiferromagnet Ba${}_2$LuMoO${}_6$
• Freezing of a disorder induced quantum spin liquid
• Randomness and Frustration in a S = 1/2 Square-Lattice Heisenberg Antiferromagnet
• Contrasting Magnetic Structures in SrLaCuSbO${}_6$ and SrLaCuNbO${}_6$: Spin-1/2 Quasi-Square-Lattice $J_1-J_2$ Heisenberg Antiferromagnets
• Mean-field phase diagram and spin glass phase of the dipolar Kagome Ising antiferromagnet
• Valence bond glass -- A unified theory of electronic disorder and pseudogap phenomena in high temperature superconductors
• Impact of Oxidation State on the Valence-bond-glass Physics in the lithium-intercalated Mo${}_3$O${}_8$ Cluster Mott Insulators
• Exploration of magnetoelastic deformations in spin-chain compound CuBr${}_2$
• ${}^{13}$C NMR observation of a nonmagnetic charge-ordered state in the organic conductor $\kappa$-(ET)${}_2$Hg(SCN)${}_2$Cl