TY - JOUR
T1 - Quantum phase transition and sliding Luttinger liquid in coupled t-J chains
AU - Moukouri, S.
N1 - Funding Information:
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PY - 2006/5/1
Y1 - 2006/5/1
N2 - Using a recently proposed perturbative numerical renormalization-group algorithm, we explore the connection between quantum criticality and the emergence of Luttinger liquid physics in t-J chains coupled by frustrated interactions. This study is built on an earlier finding that at the maximally frustrated point the ground state of weakly coupled Heisenberg chains is disordered, with the transverse exchanges being irrelevant. This result is extended here to transverse couplings up to , and we argue that it may also be valid at the isotropic point. A finite size analysis of coupled Heisenberg chains in the vicinity of the maximally frustrated point confirms that the transverse spin-spin correlations decay exponentially while the longitudinal ones revert to those of decoupled chains. We find that this behaviour persists upon moderate hole doping . For larger doping, the frustration becomes inactive and the quantum critical point is suppressed.
AB - Using a recently proposed perturbative numerical renormalization-group algorithm, we explore the connection between quantum criticality and the emergence of Luttinger liquid physics in t-J chains coupled by frustrated interactions. This study is built on an earlier finding that at the maximally frustrated point the ground state of weakly coupled Heisenberg chains is disordered, with the transverse exchanges being irrelevant. This result is extended here to transverse couplings up to , and we argue that it may also be valid at the isotropic point. A finite size analysis of coupled Heisenberg chains in the vicinity of the maximally frustrated point confirms that the transverse spin-spin correlations decay exponentially while the longitudinal ones revert to those of decoupled chains. We find that this behaviour persists upon moderate hole doping . For larger doping, the frustration becomes inactive and the quantum critical point is suppressed.
KW - Density matrix renormalization group calculations
KW - Quantum phase transitions (theory)
UR - http://www.scopus.com/inward/record.url?scp=42749103317&partnerID=8YFLogxK
U2 - 10.1088/1742-5468/2006/05/P05007
DO - 10.1088/1742-5468/2006/05/P05007
M3 - Article
AN - SCOPUS:42749103317
SN - 1742-5468
JO - Journal of Statistical Mechanics: Theory and Experiment
JF - Journal of Statistical Mechanics: Theory and Experiment
IS - 5
M1 - P05007
ER -