1979
DOI: 10.1103/physrevlett.42.122
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Devil's Stairs and the Commensurate-Commensurate Transitions in CeSb

Abstract: We have analyzed a simple model of a periodically modulated magnetic system. The phase diagram includes multiple phase transitions between commensurate phases, similar to those observed in CeSb. We argue that our model, and CeSb, are possible candidates for the "devil's stairs" behavior.

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Cited by 207 publications
(42 citation statements)
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“…Shortening of Te-Te bonding distance along one direction reduces the crystallographic symmetry, increasing the overlap of Te p orbitals. We note that STM/S studies of the commensurate phase at 4.2 K. Generally, a periodic structure can gain 'umklapp' energy by locking into phases that are commensurate with the lattice, that is, the wave vector is a rational fraction of the reciprocal lattice vectors [23][24][25] . This may be the case when the distortions are large as they are in the LT phase of IrTe 2 .…”
Section: Resultsmentioning
confidence: 93%
“…Shortening of Te-Te bonding distance along one direction reduces the crystallographic symmetry, increasing the overlap of Te p orbitals. We note that STM/S studies of the commensurate phase at 4.2 K. Generally, a periodic structure can gain 'umklapp' energy by locking into phases that are commensurate with the lattice, that is, the wave vector is a rational fraction of the reciprocal lattice vectors [23][24][25] . This may be the case when the distortions are large as they are in the LT phase of IrTe 2 .…”
Section: Resultsmentioning
confidence: 93%
“…The resulting onedimensional character of the stacking suggests the description of the polytypes in a one-dimensional Ising-type model, the ANNNI (axial next-nearest-neighbor Ising) model [53]. In this model, each bilayer i is characterized by a spin variable σ i = ±1 according to the orientation of the bonding tetrahedra.…”
Section: Stacking-fault Formationmentioning
confidence: 99%
“…The total energy of the system can be described by parameters J j as the interaction energies of two bilayers. The three interaction parameters J 1 , J 2 , and J 3 are deduced from the relative total energies of E(2H), E(4H), and E(6H) with respect to the 3C phase [46,53]. This has been widely demonstrated for IV-IV materials [47,48,[54][55][56][57], but also for III-V compounds [46,58].…”
Section: Stacking-fault Formationmentioning
confidence: 99%
“…21 The magnetization plateaus and the complex phase diagram are explained by considering long-range interactions resulting in the periodic stacking of alternating ferromagnetic planes, which are successively aligned along the external field with increasing field. 21,24 A relatively transparent model to arrive at a complex magnetic phase diagram is the ANNNI model considered theoretically by Bak and von Boehm [25][26][27] as well as Fisher and Selke. 28,29 The ANNNI model can explain the complex phase diagram of CeSb with many incommensurate phases nicknamed "devil's staircase."…”
Section: Phase Diagram and Discussionmentioning
confidence: 99%