scholarly journals Level-spacing distribution of a singular billiard

1993 ◽  
Vol 47 (6) ◽  
pp. R3822-R3825 ◽  
Author(s):  
T. Shigehara ◽  
N. Yoshinaga ◽  
Taksu Cheon ◽  
T. Mizusaki
Keyword(s):  
Level Spacing ◽  
Spacing Distribution ◽  
Level Spacing Distribution

Level Spacing Distribution and Δ3-Statistics of Two Dimensional Disordered Electrons in Strong Magnetic Field

1993 ◽  
Vol 62 (8) ◽  
pp. 2762-2772 ◽  
Author(s):  
Yoshiyuki Ono ◽  
Hiroyuki Kuwano ◽  
Keith Slevin ◽  
Tomi Ohtsuki ◽  
and Bernhard Kramer
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Two Dimensional ◽  
Level Spacing ◽  
Spacing Distribution ◽  
Level Spacing Distribution

LEVEL STATISTICS FOR THE GAPPED SPIN-1/2 XXZ HEISENBERG CHAINS

2000 ◽  
Vol 14 (29) ◽  
pp. 1015-1023
Author(s):  
YICHANG LIU ◽  
LIQUN SUN ◽  
JIANHUI DAI ◽  
SHAOJIN QIN
Keyword(s):  
Bethe Ansatz ◽  
Exact Diagonalization ◽  
Level Spacing ◽  
Spacing Distribution ◽  
Level Statistics ◽  
Heisenberg Chains ◽  
Bethe Ansatz Solution ◽  
Chain Lengths ◽  
Level Spacing Distribution

We study the level spacing distribution of the gapped spin-1/2 XXZ Heisenberg chains. The level spacing distributions are calculated for a series of chain lengths from 10 to 19 by numerical exact diagonalization. We conclude that the missed states in the Bethe ansatz solution are statistically minor in thermodynamics limit in the whole spectrum.

Sign in / Sign up

Export Citation Format

Share Document