Establishing non-zero energy currents with the one-way street phenomenon and other symmetry properties in boundary driven spin systems. (2nd November 2022)

• Record Type: Journal Article
• Authors: de Paula Jr, Alberto L; Pereira, Emmanuel
• Is Part Of: Journal of physics. Volume 34:Number 44(2022)
• Publication Date: 2022-11-02
• Subjects: one-way street phenomenon -- energy current -- spin chain -- nonequilibrium dynamics; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/ac8bbe
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: The aim of this paper is the investigation of properties of the energy current of usual (frequently found in the literature) boundary driven spin systems. For inhomogeneous Heisenberg ( XXZ and XXX ) spin chains, we numerically compute the steady state, in the absence of an external magnetic field, and confirm the previously shown occurrence of the one-way street phenomenon, precisely, there is a nonzero energy current that preserves its magnitude and direction as we invert the baths at the edges, an effect stronger than the perfect rectification (which means current in a direction and zero current as we invert the baths). The consideration of several different polarizations at the edges reestablishes that it is a ubiquitous phenomenon. And, even for these inhomogeneous versions of spin chains, we also establish, by analytical methods, other symmetry properties of the energy current and confirm them by numerical computations.