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We concentrate our study on the unexplored critical region B = 1 and obtain the phase diagram of the model in the (J4—J2) plane. The phases found include ferromagnetic (F), antiferromagnetic (AF), as well as more complex phases involving spin configurations with multiple periodicity. The system presents both first- and second-order transitions separated by tricritical points. We find an unusual phase boundary on the semi-infinite segment (J4 < —1, J2 = 0) separating the F and AF phases."},{"label":"DOI","value":"10.1103/PhysRevE.90.032101"},{"label":"Volume","value":"90"},{"label":"Issue","value":"3"},{"label":"Publication Date","value":"D:00 M:00 Y:2014"},{"label":"Publication Information","value":"Physical Review E, 2014, Volume 90, Issue 3, 1-7. © 2014 American Physical Society Archived version is the final published version."}],"description":"Quantum phase transitions in a chain with two- and four-spin interactions in a transverse field","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://iiif.quartexcollections.com/portland/iiif/0cc7b212-573d-4aa4-8198-168d18ed161d/canvas/_1","@type":"sc:Canvas","label":"Quantum phase transitions in a chain with two- and four-spin 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