scholarly journals Short-range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-state Clock Model

2021 ◽  
Author(s):  
Oscar Andres Negrete ◽  
Patricio Vargas ◽  
Francisco Jose Peña ◽  
Gonzalo Saravia ◽  
Eugenio Emilio Vogel
Keyword(s):  
Short Range ◽  
Nearest Neighbors ◽  
Vortex State ◽  
Spin Systems ◽  
Xy Model ◽  
Clock Model ◽  
Spin Correlations ◽  
Vortex States ◽  
Higher Temperature ◽  
Phase Characterization

Beyond the usual ferromagnetic and paramagnetic phases present in spin systems, the usual q-state clock model, presents an intermediate vortex state when the number of possible orientations q for the system is equal to 5 or larger. Such vortex states give rise to the Berezinskii-Kosterlitz-Thouless (BKT) phase present up to the XY model in the limit q→∞. Based on information theory, we present here an analysis of the classical order parameters plus new short-range parameters defined here. Thus, we show that even using the first nearest neighbors spin-spin correlations only, it is possible to distinguish the two transitions presented by this system for q greater than or equal to 5. Moreover, the appearance at relatively low temperature and disappearance of the BKT phase at a rather fix higher temperature is univocally determined by the short-range interactions recognized by the information content of classical and new parameters.

scholarly journals Short-Range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-State Clock Model

Entropy ◽  
2021 ◽  
Vol 23 (8) ◽  
pp. 1019
Author(s):  
Oscar A. Negrete ◽  
Patricio Vargas ◽  
Francisco J. Peña ◽  
Gonzalo Saravia ◽  
Eugenio E. Vogel
Keyword(s):  
Short Range ◽  
Nearest Neighbors ◽  
Vortex State ◽  
Spin Systems ◽  
Xy Model ◽  
Clock Model ◽  
Spin Correlations ◽  
Vortex States ◽  
Higher Temperature ◽  
Phase Characterization

Beyond the usual ferromagnetic and paramagnetic phases present in spin systems, the usual q-state clock model presents an intermediate vortex state when the number of possible orientations q for the system is greater than or equal to 5. Such vortex states give rise to the Berezinskii-Kosterlitz-Thouless (BKT) phase present up to the XY model in the limit q→∞. Based on information theory, we present here an analysis of the classical order parameters plus new short-range parameters defined here. Thus, we show that even using the first nearest neighbors spin-spin correlations only, it is possible to distinguish the two transitions presented by this system for q greater than or equal to 5. Moreover, the appearance at relatively low temperature and disappearance of the BKT phase at a rather fix higher temperature is univocally determined by the short-range interactions recognized by the information content of classical and new parameters.

scholarly journals Probing the interplay between lattice dynamics and short-range magnetic correlations in CuGeO3 with femtosecond RIXS

2021 ◽  
Vol 6 (1) ◽  
Author(s):  
E. Paris ◽  
C. W. Nicholson ◽  
S. Johnston ◽  
Y. Tseng ◽  
M. Rumo ◽  
...  
Keyword(s):  
Short Range ◽  
Degrees Of Freedom ◽  
Time Resolved ◽  
Model Calculations ◽  
Spin Correlations ◽  
Singlet Exciton ◽  
Magnetic Correlations ◽  
Local Lattice ◽  
Frustrated Systems ◽  
A Charge

AbstractInvestigations of magnetically ordered phases on the femtosecond timescale have provided significant insights into the influence of charge and lattice degrees of freedom on the magnetic sub-system. However, short-range magnetic correlations occurring in the absence of long-range order, for example in spin-frustrated systems, are inaccessible to many ultrafast techniques. Here, we show how time-resolved resonant inelastic X-ray scattering (trRIXS) is capable of probing such short-ranged magnetic dynamics in a charge-transfer insulator through the detection of a Zhang–Rice singlet exciton. Utilizing trRIXS measurements at the O K-edge, and in combination with model calculations, we probe the short-range spin correlations in the frustrated spin chain material CuGeO3 following photo-excitation, revealing a strong coupling between the local lattice and spin sub-systems.

Critical behavior of two-dimensional spin systems under the random-bond six-state clock model

2012 ◽  
Vol 112 (6) ◽  
pp. 063924 ◽  
Author(s):  
Raymond P. H. Wu ◽  
Veng-cheong Lo ◽  
Haitao Huang
Keyword(s):  
Critical Behavior ◽  
Spin Systems ◽  
Two Dimensional ◽  
Clock Model

Static critical behaviors in random-spin systems with short-range interaction

1978 ◽  
Vol 56 (1) ◽  
pp. 139-148 ◽  
Author(s):  
Yoshitake Yamazaki
Keyword(s):  
Short Range ◽  
Spin Systems ◽  
Three Dimensions ◽  
Index Formula ◽  
Spin Component ◽  
Renormalization Group Theory ◽  
Short Range Interaction ◽  
Range Interaction ◽  
The Stability ◽  
Component Models

Critical behaviors in quenched random-spin systems with N-spin component are studied in the limit M → 0 of the non-random MN-component models by means of the renormalization group theory. As the static critical phenomena the stability of the fixed points is investigated and the critical exponents η[~ O(ε3); ε ≡ 4 – d], γ, α, and crossover index [Formula: see text] and the equation of state [~ O(ε)] are obtained. Within the approximation up to the order ε2, even the random-spin systems with N = 2 or 3 are unstable in the three dimensions and the pure systems are stable there.

Short-range quasistatic order and critical spin correlations in α−Ru1−xIrxCl3

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
Seung-Hwan Do ◽  
W.-J. Lee ◽  
S. Lee ◽  
Y. S. Choi ◽  
K.-J. Lee ◽  
...  
Keyword(s):  
Short Range ◽  
Spin Correlations

A study of short-range spin correlations in Yb monopnictides

1998 ◽  
Vol 177-181 ◽  
pp. 339-340 ◽  
Author(s):  
K. Ohoyama ◽  
M. Kohgi ◽  
K. Hashi ◽  
A. Oyamada ◽  
T. Suzuki
Keyword(s):  
Short Range ◽  
Spin Correlations

ON THE STATIC DIELECTRIC CONSTANT OF DIPOLAR SOLIDS

1951 ◽  
Vol 29 (2) ◽  
pp. 163-173 ◽  
Author(s):  
J. H. Simpson
Keyword(s):  
Dielectric Constant ◽  
General Formula ◽  
Short Range ◽  
Nearest Neighbors ◽  
Experimental Results ◽  
Static Dielectric Constant ◽  
Sharp Transition ◽  
Qualitative Comparison ◽  
Dipolar Molecules ◽  
Range Type

An application of Fröhlich's general formula for the static dielectric constant is made to a material having a cubic arrangement of dipolar molecules, each of which has two equilibrium positions 180° apart and ordering forces of the short range type which tend to make nearest neighbors antiparallel. It is shown that such a model cannot lead to a sharp transition in dielectric constant unless changes in lattice dimensions occur. Qualitative comparison with certain experimental results is made.

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