Analysis of parahydrogen polarized spin system in low magnetic fields

2014 ◽  
Vol 16 (29) ◽  
pp. 15411-15421 ◽  
Author(s):  
P. Türschmann ◽  
J. Colell ◽  
T. Theis ◽  
B. Blümich ◽  
S. Appelt
Keyword(s):  
Magnetic Fields ◽  
Spin System ◽  
Structure Determination ◽  
Polarization Transfer ◽  
Spin Systems

Parahydrogen polarized spin systems allow for structure determination even in low magnetic fields of a few millitesla and enable efficient polarization transfer to rare heteronuclei.

EXACT SOLUTIONS OF SCHRODINGER’S EQUATION FOR SPIN SYSTEMS IN A CLASS OF TIME-DEPENDENT MAGNETIC FIELDS

1991 ◽  
Vol 05 (29) ◽  
pp. 1919-1924 ◽  
Author(s):  
M.J. TAHMASEBI ◽  
Y. SOBOUTI
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Exact Solutions ◽  
Spin System ◽  
Schrodinger Equation ◽  
Unitary Transformation ◽  
Variable Magnetic Field ◽  
Spin Systems ◽  
Time Variable ◽  
Time Dependent

A spin system in a time variable magnetic field is considered. For certain fields there exists a frame in which the Hamiltonian becomes static. The criterion for such fields is derived. The unitary transformation that accomplishes this task is obtained and the underlying Schrodinger equation is solved exactly.

scholarly journals Contraction: A Unified Perspective of Correlation Decay and Zero-Freeness of 2-Spin Systems

2021 ◽  
Vol 185 (2) ◽  
Author(s):  
Shuai Shao ◽  
Yuxin Sun
Keyword(s):  
Partition Function ◽  
Approximation Algorithms ◽  
External Field ◽  
Spin System ◽  
Spin Systems ◽  
Interaction Parameters ◽  
Entire Family ◽  
Bounded Degree ◽  
Correlation Decay ◽  
Complex Valued

AbstractWe study the connection between the correlation decay property (more precisely, strong spatial mixing) and the zero-freeness of the partition function of 2-spin systems on graphs of bounded degree. We show that for 2-spin systems on an entire family of graphs of a given bounded degree, the contraction property that ensures correlation decay exists for certain real parameters implies the zero-freeness of the partition function and the existence of correlation decay for some corresponding complex neighborhoods. Based on this connection, we are able to extend any real parameter of which the 2-spin system on graphs of bounded degree exhibits correlation decay to its complex neighborhood where the partition function is zero-free and correlation decay still exists. We give new zero-free regions in which the edge interaction parameters and the uniform external field are all complex-valued, and we show the existence of correlation decay for such complex regions. As a consequence, we obtain approximation algorithms for computing the partition function of 2-spin systems on graphs of bounded degree for these complex parameter settings.

Triple mixed-spin Ising model

2020 ◽  
Vol 34 (13) ◽  
pp. 2050129
Author(s):  
Erhan Albayrak
Keyword(s):  
Phase Transitions ◽  
Ising Model ◽  
Magnetic Fields ◽  
Exchange Interaction ◽  
Spin System ◽  
Bethe Lattice ◽  
Nearest Neighbors ◽  
Recursion Relations ◽  
Mixed Spin ◽  
Exchange Interaction Parameter

The A, B and C atoms with spin-1/2, spin-3/2 and spin-5/2 are joined together sequentially on the Bethe lattice in the form of ABCABC[Formula: see text] to simulate a molecule as a triple mixed-spin system. The spins are assumed to be interacting with only their nearest-neighbors via bilinear exchange interaction parameter in addition to crystal and external magnetic fields. The order-parameters are obtained in terms of exact recursion relations, then from the study of their thermal variations, the phase diagrams are calculated on the possible planes of our system. It is found that the model gives only second-order phase transitions in addition to the compensation temperatures.

scholarly journals Pyroelectric measurements on a geometrically frustrated spin system CuFeO2 in pulsed high magnetic fields

2006 ◽  
Vol 51 ◽  
pp. 557-560 ◽  
Author(s):  
H Mitamura ◽  
S Mitsuda ◽  
S Kanetsuki ◽  
H A Katori ◽  
T Sakakibara ◽  
...  
Keyword(s):  
Magnetic Fields ◽  
Spin System ◽  
High Magnetic Fields ◽  
Geometrically Frustrated ◽  
Frustrated Spin

PULSE-FIELD EXPERIMENTS ON THE SPIN-LATTICE INTERACTION IN LOW-DIMENSIONAL SPIN SYSTEMS

2002 ◽  
Vol 16 (20n22) ◽  
pp. 3369-3372
Author(s):  
B. WOLF ◽  
S. ZHERLITSYN ◽  
S. SCHMIDT ◽  
B. LÜTHI ◽  
M. LANG
Keyword(s):  
Magnetic Field ◽  
Spin System ◽  
Field Experiments ◽  
Resonant Interaction ◽  
Quantum Spin ◽  
Spin Systems ◽  
Pulse Field ◽  
Quantum Spin System ◽  
Magnetic Excitations ◽  
Low Dimensional

Low-dimensional spin systems reveal new and unexpected physical phenomena such as distinct plateaus in the magnetization as a function of magnetic field. In this paper we present ultrasonic measurements for the quasi-two-dimensional spin system SrCu2(BO3)2 in magnetic fields up to 50 T. From this technique we obtained detailed information about the spin state, the magnetic excitations and their interaction with phonons. The dimerized quantum-spin system SrCu2(BO3)2 exhibits plateaus in the magnetization and shows surprisingly strong magneto-elastic effects as a function of temperature and magnetic field. The pronounced elastic anomalies indicate a resonant interaction between the sound wave and the magnetic excitations.

Exploring the limits of polarization transfer efficiency in homonuclear three spin systems

2006 ◽  
Vol 181 (1) ◽  
pp. 126-134 ◽  
Author(s):  
Jorge L. Neves ◽  
Björn Heitmann ◽  
Timo O. Reiss ◽  
Heloiza H.R. Schor ◽  
Navin Khaneja ◽  
...  
Keyword(s):  
Polarization Transfer ◽  
Spin Systems ◽  
Transfer Efficiency

Dynamical stabilization of spin systems in time-dependent magnetic fields

2011 ◽  
Vol T143 ◽  
pp. 014005 ◽  
Author(s):  
Yu V Bezvershenko ◽  
P I Holod ◽  
A Messina
Keyword(s):  
Magnetic Fields ◽  
Spin Systems ◽  
Time Dependent

scholarly journals Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation

2017 ◽  
Vol 14 (10) ◽  
pp. 1750136 ◽  
Author(s):  
Akbota Myrzakul ◽  
Ratbay Myrzakulov
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Spin System ◽  
Schrodinger Equation ◽  
Nonlinear Schrodinger Equation ◽  
Spin Systems ◽  
Geometric Flows ◽  
Magnetic Vector ◽  
Magnetic Systems ◽  
Nonlinear Schrödinger

In this paper, we study integrable multilayer spin systems, namely, the multilayer M-LIII equation. We investigate their relation with the geometric flows of interacting curves and surfaces in some space [Formula: see text]. Then we present their Lakshmanan equivalent counterparts. We show that these equivalent counterparts are, in fact, the vector nonlinear Schrödinger equation (NLSE). It is well known that the vector NLSE is equivalent to the [Formula: see text]-spin system. Also, we have presented the transformations which give the relation between solutions of the [Formula: see text]-spin system and the multilayer M-LIII equation. It is interesting to note that the integrable multilayer M-LIII equation contains constant magnetic field [Formula: see text]. It seems that this constant magnetic vector plays an important role in the theory of “integrable multilayer spin system” and in nonlinear dynamics of magnetic systems. Finally, we present some classes of integrable models of interacting vortices.

DifferentialT1andT2Relaxation of Coupled Spin Systems in High Magnetic Fields*

1987 ◽  
Vol 151 (Part_1_2) ◽  
pp. 25-33 ◽  
Author(s):  
Thomas C. Farrar ◽  
Rafael A. Quintero-Arcaya ◽  
Ilene C. Locker
Keyword(s):  
Magnetic Fields ◽  
Spin Systems ◽  
High Magnetic Fields ◽  
Coupled Spin Systems
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