Classification of continuous phase transitions and stable phases. II. Four-dimensional order parameters

1986 ◽  
Vol 33 (9) ◽  
pp. 6210-6230 ◽  
Author(s):  
Jai Sam Kim ◽  
Harold T. Stokes ◽  
Dorian M. Hatch
Keyword(s):  
Phase Transitions ◽  
Continuous Phase ◽  
Order Parameters

Classification of continuous phase transitions and stable phases. I. Six-dimensional order parameters

1986 ◽  
Vol 33 (3) ◽  
pp. 1774-1788 ◽  
Author(s):  
Jai Sam Kim ◽  
Dorian M. Hatch ◽  
Harold T. Stokes
Keyword(s):  
Phase Transitions ◽  
Continuous Phase ◽  
Order Parameters

scholarly journals Fermi surface reconstruction and multiple quantum phase transitions in the antiferromagnet CeRhIn5

2015 ◽  
Vol 112 (3) ◽  
pp. 673-678 ◽  
Author(s):  
Lin Jiao ◽  
Ye Chen ◽  
Yoshimitsu Kohama ◽  
David Graf ◽  
E. D. Bauer ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Fermi Surface ◽  
Quantum Phase Transitions ◽  
Continuous Phase ◽  
Multiple Quantum ◽  
Quantum Critical Points ◽  
Thermally Driven ◽  
Significant Step ◽  
Open Issues

Conventional, thermally driven continuous phase transitions are described by universal critical behavior that is independent of the specific microscopic details of a material. However, many current studies focus on materials that exhibit quantum-driven continuous phase transitions (quantum critical points, or QCPs) at absolute zero temperature. The classification of such QCPs and the question of whether they show universal behavior remain open issues. Here we report measurements of heat capacity and de Haas–van Alphen (dHvA) oscillations at low temperatures across a field-induced antiferromagnetic QCP (Bc0 ≈ 50 T) in the heavy-fermion metal CeRhIn5. A sharp, magnetic-field-induced change in Fermi surface is detected both in the dHvA effect and Hall resistivity at B0* ≈ 30 T, well inside the antiferromagnetic phase. Comparisons with band-structure calculations and properties of isostructural CeCoIn5 suggest that the Fermi-surface change at B0* is associated with a localized-to-itinerant transition of the Ce-4f electrons in CeRhIn5. Taken in conjunction with pressure experiments, our results demonstrate that at least two distinct classes of QCP are observable in CeRhIn5, a significant step toward the derivation of a universal phase diagram for QCPs.

Phase transitions with coupled order parameters

1981 ◽  
Vol 133 (1) ◽  
pp. 103 ◽  
Author(s):  
M.A. Anisimov ◽  
E.E. Gorodetskii ◽  
V.M. Zaprudskii
Keyword(s):  
Phase Transitions ◽  
Order Parameters

scholarly journals Empirical evidence reveals the phase diagram of patch patterns in Mediterranean drylands

2017 ◽  
Author(s):  
Fernando Meloni ◽  
Cristiano R. F. Granzotti ◽  
Alexandre S. Martinez
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Satellite Images ◽  
A Priori ◽  
Continuous Phase ◽  
Adequate Description ◽  
Scaling Exponents ◽  
Open Issue ◽  
The Subject ◽  
Ecological Functioning

AbstractDrylands are ecosystems with limited water resources, often subjected to desertification. Conservation and restoration efforts towards these ecosystems depend on the interplay between ecological functioning and spatial patterns formed by local vegetation. Despite recent advances on the subject, an adequate description of phase transitions between the various vegetated phases remains an open issue. Here, we gather vegetation data of drylands from Southern Spain using satellite images. Our findings support three vegetated phases, separated by two distinct phase transitions, including a continuous phase transition, with new relations between scaling exponents of ecological variables. The phase diagram is obtained without a priori assumption about underlying ecological dynamics. We apply our analysis to a different dryland system in the Western United States and verify a compatible critical behavior, in agreement with the universality hypothesis.

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