标题： 自旋统计定理的破坏与具有半整数自旋粒子的玻色-爱因斯坦凝聚 显示英文标题

标题： Violation of the Spin Statistics Theorem and the Bose-Einstein Condensation of Particles with Half Integer Spin

摘要： 我们考虑自旋为1/2的粒子的玻色凝聚。 凝聚是由外部磁场驱动的。 我们的工作受到量子临界解禁闭和自旋液体态中玻色子自旋子概念的启发。 我们表明，这种新型玻色凝聚体的性质以及激发谱与通常整数自旋情况下的性质根本不同。 我们预测有两种大质量（“希格斯”）激发和两种无质量的戈德斯通激发。 其中一种戈德斯通激发具有线性激发谱，另一种具有二次激发谱。 这意味着玻色凝聚体不支持超流性，朗道准则被基本违反。 我们提出了一个“确凿证据”标准，用于寻找这种新型玻色凝聚。 显示英文摘要

摘要： 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.