Phase diagram of the half-filled one-dimensional<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>t</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>V</mml:mi></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>V</mml:mi><mml:mo>′</mml:mo></mml:msup></mml:math>model

Mishra, Tapan; Carrasquilla, Juan; Rigol, Marcos

doi:10.1103/physrevb.84.115135

Cited by 73 publications

(100 citation statements)

References 33 publications

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“…Even moderate values of χ = 100 predict the transition to occur at 2 = 1.50 ± 0.01 (for = 0.5) in agreement with 2 = 1.5 obtained in Ref. 23. To detect the transition out of a LL phase it is reasonable to consider the single-particle Green's function G(x) in real space.…”

Section: Phase Diagramssupporting

confidence: 72%

Luttinger liquid physics from the infinite-system density matrix renormalization group

Karrasch

Moore

2012

Phys. Rev. B

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We study one-dimensional spinless fermions at zero and finite temperature T using the density-matrix renormalization group. We consider nearest-as well as next-nearest-neighbor interactions; the latter render the system inaccessible by a Bethe ansatz treatment. Using an infinite-system algorithm we demonstrate the emergence of Luttinger liquid physics at low energies for a variety of static correlation functions as well as for thermodynamic properties. The characteristic power-law suppression of the momentum distribution n(k) function at T = 0 can be directly observed over several orders of magnitude. At finite temperature, we show that n(k) obeys a scaling relation. The Luttinger liquid parameter and the renormalized Fermi velocity can be extracted from the density response function, the specific heat, or the susceptibility without the need to carry out any finite-size analysis. We illustrate that the energy scale below which Luttinger liquid power laws manifest vanishes as the half-filled system is driven into a gapped phase by large interactions.

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Section: Phase Diagramssupporting

confidence: 72%

Luttinger liquid physics from the infinite-system density matrix renormalization group

Karrasch

Moore

2012

Phys. Rev. B

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“…We compute various physical quantities to characterize the different phases. Some of these quantities have been calculated by us using the DMRG method to study related models [25,28]. We describe below the quantities which are most important for the characterization of the different phases.…”

Section: Details Of the Dmrg Methodsmentioning

confidence: 99%

Supersolid in a one-dimensional model of hard-core bosons

Mishra¹,

Pai

Mukerjee

2014

Phys. Rev. A

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We study a system of hardcore boson on a one-dimensional lattice with frustrated next-nearest neighbor hopping and nearest neighbor interaction. At half filling, for equal magnitude of nearest and next-nearest neighbor hopping, the ground state of this system exhibits a first order phase transition from a Bond-Ordered (BO) solid to a Charge-Density-Wave(CDW) solid as a function of the nearest neighbor interaction. Moving away from half filling we investigate the system at incommensurate densities, where we find a SuperSolid (SS) phase which has concurrent off-diagonal long range order and density wave order which is unusual in a system of hardcore bosons in one dimension. Using the finite-size Density-Matrix Renormalization Group (DMRG) method, we obtain the complete phase diagram for this model.

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“…Some of these quantities have been calculated by us using the DMRG method to study related models [23,28]. To separate out the gapped and gapless phases we calculate the single particle excitation gap given by…”

Section: Methods Of Calculationmentioning

confidence: 99%

Hard-core bosons in a zig-zag optical superlattice

et al. 2013

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We study a system of hard-core bosons at half-filling in a one-dimensional optical superlattice. The bosons are allowed to hop to nearest and next-nearest neighbor sites. We obtain the ground state phase diagram as a function of microscopic parameters using the finite-size density matrix renormalization group (FS-DMRG) method. Depending on the sign of the next-nearest neighbor hopping and the strength of the superlattice potential the system exhibits three different phases, namely the bond-order (BO) solid, the superlattice induced Mott insulator (SLMI) and the superfluid (SF) phase. When the signs of both hopping amplitudes are the same (the "unfrustrated" case), the system undergoes a transition from the SF to the SLMI at a non-zero value of the superlattice potential. On the other hand, when the two amplitudes differ in sign (the "frustrated" case), the SF is unstable to switching on a superlattice potential and also exists only up to a finite value of the next nearest neighbor hopping. This part of the phase diagram is dominated by the BO phase which breaks translation symmetry spontaneously even in the absence of the superlattice potential and can thus be characterized by a bond order parameter. The transition from BO to SLMI appears to be first order.

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Phase diagram of the half-filled one-dimensionalt-V-V′model

Cited by 73 publications

References 33 publications

Luttinger liquid physics from the infinite-system density matrix renormalization group

Luttinger liquid physics from the infinite-system density matrix renormalization group

Supersolid in a one-dimensional model of hard-core bosons

Hard-core bosons in a zig-zag optical superlattice

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