scholarly journals The anisotropic quantum antiferromagnet on the Sierpinski gasket: Ground state and thermodynamics

2004 ◽  
Vol 38 (1) ◽  
pp. 49-58 ◽  
Author(s):  
A. Voigt ◽  
W. Wenzel ◽  
J. Richter ◽  
P. Tomczak
Keyword(s):  
Ground State ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
Quantum Antiferromagnet

QUANTUM DISORDER OF AN ANTIFERROMAGNETIC SPIN MODEL ON THE SIERPIŃSKI GASKET

2003 ◽  
Vol 17 (28) ◽  
pp. 5059-5063
Author(s):  
ANDREAS VOIGT ◽  
JOHANNES RICHTER
Keyword(s):  
Ground State ◽  
Magnetic Order ◽  
Spin Exchange ◽  
Sierpinski Gasket ◽  
Spin Model ◽  
Sierpiński Gasket ◽  
Spin Correlations ◽  
Quantum Antiferromagnet ◽  
Antiferromagnetic Spin ◽  
Exact Diagonalisation

We study the ground state magnetic order of the quantum antiferromagnet on the fractal Sierpiński gasket, a system with a dimension between one and two. Using exact diagonalisation we analyse the ground state and thermodynamic properties of small finite systems and calculate data like spin-spin correlations and specific heat. We find arguments that the ground state remains disordered for an XY or Ising like anisotropy in the spin exchange away from the isotropic Heisenberg point.

scholarly journals Dimer Coverings on the Sierpinski Gasket

2008 ◽  
Vol 131 (4) ◽  
pp. 631-650 ◽  
Author(s):  
Shu-Chiuan Chang ◽  
Lung-Chi Chen
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket

scholarly journals Metric approximations of spectral triples on the Sierpiński gasket and other fractal curves

2021 ◽  
Vol 385 ◽  
pp. 107771
Author(s):  
Therese-Marie Landry ◽  
Michel L. Lapidus ◽  
Frédéric Latrémolière
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket ◽  
Spectral Triples

scholarly journals Level sets of harmonic functions on the Sierpiński gasket

2002 ◽  
Vol 40 (2) ◽  
pp. 335-362 ◽  
Author(s):  
Anders Öberg ◽  
Robert S. Strichartz ◽  
Andrew Q. Yingst
Keyword(s):  
Level Sets ◽  
Harmonic Functions ◽  
Sierpinski Gasket ◽  
Sierpiński Gasket

Design Sierpinski Gasket Antenna for WLAN Application

2007 ◽  
Author(s):  
C.Z.C. Ghani ◽  
M.H.A. Wahab ◽  
N. Abdullah ◽  
S.A Hamzah ◽  
A. Ubin ◽  
...  
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket

scholarly journals Gradients of Laplacian eigenfunctions on the Sierpinski gasket

2008 ◽  
Vol 137 (02) ◽  
pp. 531-540 ◽  
Author(s):  
Jessica L. DeGrado ◽  
Luke G. Rogers ◽  
Robert S. Strichartz
Keyword(s):  
Sierpinski Gasket ◽  
Sierpiński Gasket
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