scholarly journals Erratum: Phase diagram of an anisotropic frustrated ferromagnetic spin-12chain in a magnetic field: A density matrix renormalization group study [Phys. Rev. B80, 144417 (2009)]

2010 ◽  
Vol 81 (17) ◽  
Author(s):  
F. Heidrich-Meisner ◽  
I. P. McCulloch ◽  
A. K. Kolezhuk
Keyword(s):  
Magnetic Field ◽  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Density Matrix Renormalization Group ◽  
Density Matrix Renormalization

RENORMALIZATION-GROUP INVESTIGATION OF THE S = 1 RANDOM ANTIFERROMAGNETIC HEISENBERG CHAIN

2006 ◽  
Vol 17 (12) ◽  
pp. 1739-1753 ◽  
Author(s):  
PÉTER LAJKÓ
Keyword(s):  
Phase Diagram ◽  
Renormalization Group ◽  
Density Matrix ◽  
Energy Scale ◽  
Quantum Spin ◽  
Spin Chains ◽  
Density Matrix Renormalization Group ◽  
Heisenberg Chain ◽  
Quantum Spin Chains ◽  
Density Matrix Renormalization

We introduce variants of the Ma-Dasgupta renormalization-group (RG) approach for random quantum spin chains, in which the energy-scale is reduced by decimation built on either perturbative or non-perturbative principles. In one non-perturbative version of the method, we require the exact invariance of the lowest gaps, while in a second class of perturbative Ma-Dasgupta techniques, different decimation rules are utilized. For the S = 1 random antiferromagnetic Heisenberg chain, both type of methods provide the same type of disorder dependent phase diagram, which is in agreement with density-matrix renormalization-group calculations and previous studies.

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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