Larson, D.D.LarsonYING-JER KAO2018-09-102018-09-10201200319007http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=ORCID&SrcApp=OrcidOrg&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:000309590300043&KeyUID=WOS:000309590300043http://scholars.lib.ntu.edu.tw/handle/123456789/370252https://www.scopus.com/inward/record.uri?eid=2-s2.0-84867325431&doi=10.1103%2fPhysRevLett.109.157202&partnerID=40&md5=d99bbaefaa3bdac873ef8443b3007ed9We study the interplay of superfluidity, glassy, and magnetic orders in the XXZ model with random Ising interactions on a three dimensional cubic lattice. In the classical limit, this model reduces to a ±J Edwards-Anderson Ising model with concentration p of ferromagnetic bonds, which hosts a glassy-ferromagnetic transition at a critical concentration pccl∼0.77. Our quantum Monte Carlo simulation results show that quantum fluctuations stabilize the coexistence of superfluidity and glassy order (superglass), and shift the (super)glassy-ferromagnetic transition to p c>pccl. In contrast, antiferromagnetic order coexists with superfluidity to form a supersolid, and the transition to the glassy phase occurs at a higher p. © 2012 American Physical Society.Antiferromagnetic orders; Classical limits; Critical concentration; Cubic lattice; Glassy phase; Magnetic orders; Quantum fluctuation; Quantum Monte Carlo simulations; Supersolids; Antiferromagnetism; Ferromagnetic materials; Ferromagnetism; Ising model; Monte Carlo methods; Quantum electronics; Three dimensionaljournal article10.1103/PhysRevLett.109.1572022-s2.0-84867325431WOS:000309590300043