Gapless spin-fluid ground state in a random quantum Heisenberg magnet

1992/12/21 by Subir Sachdev, Jinwu Ye · 34 citations
Physics and Astronomy · #Antiferromagnetism #Condensed matter physics #Gapless playback #Ground state #Heisenberg model #Mathematical physics #Omega #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum spin liquid #Spin (aerodynamics) #Spin polarization #Theoretical and Computational Physics #Thermodynamics #cond-mat

paper · pdf · doi:10.1103/physrevlett.70.3339

published as Phys.Rev.Lett.70:3339,1993 · 13 pages, REVTEX, 2 figures available by request from [email protected]

arxiv created 1992/12/21 · openalex publication_date 1993/05/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We examine the spin-S quantum Heisenberg magnet with Gaussian-random, infinite-range exchange interactions. The quantum-disordered phase is accessed by generalizing to SU(M) symmetry and studying the large M limit. For large S the ground state is a spin glass, while quantum fluctuations produce a spin-fluid state for small S. The spin-fluid phase is found to be generically gapless---the average, zero temperature, local dynamic spin susceptibility obeys \ensuremathχ\ifmmode\else\textasciimacron\fi(\ensuremathω)\ensuremath∼ln(1/\ensuremath\Vert\ensuremathω\ensuremath\Vert)+i(\ensuremathπ/2)sgn(\ensuremathω) at low frequencies.

Citations

• Large-Nexpansion for frustrated quantum antiferromagnets

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