Violation of the Spin Statistics Theorem and the Bose-Einstein Condensation of Particles with Half Integer Spin
arXiv:1407.0796 · doi:10.1103/PhysRevLett.114.055702
Abstract
We consider the Bose condensation of particles with spin 1/2. The condensation is driven by an external magnetic field. Our work is motivated by ideas of quantum critical deconfinement and bosonic spinons in spin liquid states. We show that both the nature of the novel Bose condensate and the excitation spectrum are fundamentally different from that in the usual integer spin case. We predict two massive ("Higgs") excitations and two massless Goldstone excitations. One of the Goldstone excitations has a linear excitation spectrum and another has quadratic spectrum. This implies that the Bose condensate does not support superfluidity, the Landau criterion is essentially violated. We formulate a "smoking gun" criterion for searches of the novel Bose condensation.
References in corpus (17)
- Spinor Bose Condensates in Optical Traps
- "Deconfined" quantum critical points
- Bose-Einstein condensation with internal degrees of freedom in alkali atom gases
- Quantum Orders and Symmetric Spin Liquids
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Bose-Einstein Condensation in Magnetic Insulators
- Realization of Bose-Einstein condensation of dilute magnons in TlCuCl
- Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
- Quantum Criticality
- Scaling in the Fan of an Unconventional Quantum Critical Point
- Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
- Quantum and classical criticality in a dimerized quantum antiferromagnet
- Possible violation of the spin-statistics relation for neutrinos: cosmological and astrophysical consequences
- Width of the longitudinal magnon in the vicinity of the O(3) quantum critical point
- Neutrino statistics and big bang nucleosynthesis
- Thermodynamics of a gas of deconfined bosonic spinons in two dimensions
- Quantum tricriticality at the superfluid-insulator transition of binary Bose mixtures
Cited by in corpus (4)
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- Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions