Static properties of a random one-dimensional magnet

1975 ◽  
Vol 36 (12) ◽  
pp. 1177-1181 ◽  
Author(s):  
M. F. Thorpe
Keyword(s):  
Static Properties ◽  
One Dimensional

scholarly journals DISSIPATIVE QUANTUM DISORDERED MODELS

2006 ◽  
Vol 20 (19) ◽  
pp. 2795-2804 ◽  
Author(s):  
LETICIA F. CUGLIANDOLO
Keyword(s):  
Glassy Phase ◽  
Quantum Critical Point ◽  
Mean Field ◽  
Static Properties ◽  
One Dimensional ◽  
Time Dynamics ◽  
Long Range Interactions ◽  
Disordered Models ◽  
Different Types ◽  
Dissipative Environments

This article reviews recent studies of mean-field and one dimensional quantum disordered spin systems coupled to different types of dissipative environments. The main issues discussed are: (i) The real-time dynamics in the glassy phase and how they compare to the behaviour of the same models in their classical limit. (ii) The phase transition separating the ordered – glassy – phase from the disordered phase that, for some long-range interactions, is of second order at high temperatures and of first order close to the quantum critical point (similarly to what has been observed in random dipolar magnets). (iii) The static properties of the Griffiths phase in random king chains. (iv) The dependence of all these properties on the environment. The analytic and numeric techniques used to derive these results are briefly mentioned.

scholarly journals Static and Dynamic Properties of a Few Spin 1/2 Interacting Fermions Trapped in a Harmonic Potential

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1196
Author(s):  
Abel Rojo-Francàs ◽  
Artur Polls ◽  
Bruno Juliá-Díaz
Keyword(s):  
Sum Rules ◽  
Dynamic Properties ◽  
Interaction Strength ◽  
Dynamical Structure ◽  
Static Properties ◽  
Oscillator Potential ◽  
Harmonic Oscillator Potential ◽  
One Dimensional ◽  
State Densities ◽  
Analytical Expressions

We provide a detailed study of the properties of a few interacting spin 1 / 2 fermions trapped in a one-dimensional harmonic oscillator potential. The interaction is assumed to be well represented by a contact delta potential. Numerical results obtained by means of direct diagonalization techniques are combined with analytical expressions for both the non-interacting and strongly interacting regime. The N = 2 case is used to benchmark our numerical techniques with the known exact solution of the problem. After a detailed description of the numerical methods, in a tutorial-like manner, we present the static properties of the system for N = 2 , 3 , 4 and 5 particles, e.g., low-energy spectrum, one-body density matrix, ground-state densities. Then, we consider dynamical properties of the system exploring first the excitation of the breathing mode, using the dynamical structure function and corresponding sum-rules, and then a sudden quench of the interaction strength.

Influence of induced magnetic fields on the static properties of one-dimensional parallel Josephson-junction arrays

1994 ◽  
Vol 49 (14) ◽  
pp. 10009-10012 ◽  
Author(s):  
R. D. Bock ◽  
J. R. Phillips ◽  
H. S. J. van der Zant ◽  
T. P. Orlando
Keyword(s):  
Magnetic Fields ◽  
Josephson Junction ◽  
Static Properties ◽  
One Dimensional ◽  
Josephson Junction Arrays ◽  
Junction Arrays

Static properties of theS=1 one-dimensional antiferromagnetAgVP2S6

1995 ◽  
Vol 52 (18) ◽  
pp. R13087-R13090 ◽  
Author(s):  
M. Takigawa ◽  
T. Asano ◽  
Y. Ajiro ◽  
M. Mekata
Keyword(s):  
Static Properties ◽  
One Dimensional

Static properties of one-dimensional generalized Landau liquids

1992 ◽  
Vol 45 (14) ◽  
pp. 7899-7917 ◽  
Author(s):  
J. M. P. Carmelo ◽  
P. Horsch ◽  
A. A. Ovchinnikov
Keyword(s):  
Static Properties ◽  
One Dimensional

scholarly journals Static properties of a quasi-one-dimensional antiferromagnet in a magnetic field

1996 ◽  
Vol 53 (6) ◽  
pp. 3428-3435 ◽  
Author(s):  
M. E. Zhitomirsky ◽  
I. A. Zaliznyak
Keyword(s):  
Magnetic Field ◽  
Static Properties ◽  
One Dimensional
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