scholarly journals Stripe formation in fermionic atoms on a two-dimensional optical lattice inside a box trap: Density-matrix renormalization-group studies for the repulsive Hubbard model with open boundary conditions

2008 ◽  
Vol 77 (3) ◽  
Author(s):  
M. Machida ◽  
M. Okumura ◽  
S. Yamada
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Boundary Conditions ◽  
Optical Lattice ◽  
Open Boundary ◽  
Density Matrix Renormalization Group ◽  
Two Dimensional ◽  
Open Boundary Conditions ◽  
Density Matrix Renormalization ◽  
Fermionic Atoms

DYNAMICS IN ONE-DIMENSIONAL SPIN SYSTEMS – DENSITY MATRIX RENORMALIZATION GROUP STUDY

2007 ◽  
Vol 21 (13n14) ◽  
pp. 2262-2272 ◽  
Author(s):  
S. NISHIMOTO ◽  
M. ARIKAWA
Keyword(s):  
Renormalization Group ◽  
Density Matrix ◽  
Boundary Conditions ◽  
Spin Structure ◽  
Spin Systems ◽  
Density Matrix Renormalization Group ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Dynamical Spin ◽  
The One

We study the one-dimensional S = 1/2 Heisenberg model with an uniform and a staggered magnetic fields, using the dynamical density-matrix renormalization group (DDMRG) technique. The DDMRG enables us to investigate the dynamical properties of chain with lengths up to a few hundreds, and the results are numerically exact in the same sense as 'exact diagonalization' results are. Thus, we can analyze the low-energy spectrum almost in the thermodynamic limit. In this work, we calculate the dynamical spin structure factor and demonstrate the performance of the DDMRG method applying the open-end boundary conditions as well as the periodic boundary conditions.

scholarly journals PHASE DIAGRAM OF ONE-DIMENSIONAL ALKALINE-EARTH COLD FERMIONIC ATOMS

2011 ◽  
Vol 25 (12n13) ◽  
pp. 955-962 ◽  
Author(s):  
H. NONNE ◽  
E. BOULAT ◽  
S. CAPPONI ◽  
P. LECHEMINANT
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Alkaline Earth ◽  
Charge Density Waves ◽  
Low Energy ◽  
Density Matrix Renormalization Group ◽  
One Dimensional ◽  
Density Matrix Renormalization ◽  
Fermionic Atoms

The phase diagram of one-dimensional alkaline-earth fermionic atoms and ytterbium 171 atoms is investigated by means of a low-energy approach and density-matrix renormalization group calculations. For incommensurate filling, four gapless phases with a spin gap are found and consist of two superconducting instabilities and two coexisting bond and charge density-waves instabilities. In the half-filled case, seven Mott-insulating phases arise with the emergence of four non-degenerate phases with exotic hidden orderings.

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