Magnetic response and quantum critical behavior in the doped two-leg extended Hubbard ladder

Tsuchiizu, Masahisa; Suzumura, Yoshikazu

doi:10.1103/physrevb.72.075121

Cited by 14 publications

(26 citation statements)

References 80 publications

(131 reference statements)

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“…charge velocities may be very different [56]. Experimentally relevant properties such as the NMR relaxation rate have also been calculated [94][95][96].…”

Section: Summary Of Previous Work On Ladder Modelsmentioning

confidence: 99%

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

2013

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We study the effect of external potential on transport properties of the fermionic two-leg ladder model. The response of the system to a local perturbation is strongly dependent on the ground state properties of the system and especially on the dominant correlations. We categorise all phases and transitions in the model (for incommensurate filling) and introduce "hopping-driven transitions" that the system undergoes as the inter-chain hopping is increased from zero. We also describe the response of the system to an ionic potential. The physics of this effect is similar to that of the single impurity, except that the ionic potential can affect the bulk properties of the system and in particular induce true long range order.

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“…charge velocities may be very different [56]. Experimentally relevant properties such as the NMR relaxation rate have also been calculated [94][95][96].…”

Section: Summary Of Previous Work On Ladder Modelsmentioning

confidence: 99%

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

2013

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“…37 We assume infinitesimal doping so that the Hamiltonian densities in Eqs. ͑11͒ and ͑13͒ are still valid if all three Umklapp coupling strengths are set to zero.…”

Section: Doped Carbon Nanotubementioning

confidence: 99%

“…So, it is not hard to determine the behavior of an armchair CNT directly from known results of two-leg ladders. 29,30,32,[34][35][36][37] In contrast, the metallic zigzag CNT maps onto an unusual type of two-leg ladder, in which the hopping part describes two chains with hopping strength alternating between lattice sites, but no hopping between legs. The two chains however cannot be described as independent as they influence each other through Coulomb interactions.…”

Section: Introductionmentioning

confidence: 99%

Phase diagrams of the metallic zigzag carbon nanotube

Bunder

Lin

2008

Phys. Rev. B

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We investigate a metallic zigzag carbon nanotube by means of a Hubbard model, which includes both on-site and nearest-neighbor interactions. Assuming weak interactions, a renormalization group analysis of the equivalent two-leg ladder followed by bosonization and refermionization results in a Gross-Neveu model with an enlarged symmetry relative to the original Hamiltonian. For the undoped case the symmetry of the GrossNeveu model is SO͑8͒, but for the doped case the particle-hole symmetry is broken and the symmetry reduces to SO͑6͒. Four ground-state phases are found in the undoped carbon nanotube with repulsive interactions, a d-wave Mott insulator, an s-wave Mott insulator, a p-density wave, and a charge density wave. The doped case has two ground-state phases, a d-wave superconductor and a phase where a p density wave and a charge density wave coexist. We also explore the global phase diagram with a general interaction profile and find several additional states, including a chiral current phase where current flows around the nanotube along the zigzag bonds.

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“…Therefore, any set of generic short-range or quasi-long-range interactions can be described by the bare interactions U, X ʈn , and X Ќn . Although there have been extensive theoretical investigations on electronic correlations in two-leg ladders, [6][7][8][9][10][11][13][14][15][16] most of these studies only consider on-site and possibly nearest-neighbor ͑or next-nearest-neighbor͒ interactions.…”

Section: Introductionmentioning

confidence: 99%

Generic short-range interactions in two-leg ladders

Bunder

Lin

2009

Phys. Rev. B

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We derive a Hamiltonian for a two-leg ladder which includes an arbitrary number of charge and spin interactions. To illustrate this Hamiltonian we consider two examples and use a renormalization group technique to evaluate the ground state phases. The first example is a two-leg ladder with zigzagged legs. We find that increasing the number of interactions in such a two-leg ladder may result in a richer phase diagram, particularly at half-filling where a few exotic phases are possible when the number of interactions are large and the angle of the zigzag is small. In the second example we determine under which conditions a two-leg ladder at quarter-filling is able to support a Tomanaga-Luttinger liquid phase. We show that this is only possible when the spin interactions across the rungs are ferromagnetic. In both examples we focus on lithium purple bronze, a two-leg ladder with zigzagged legs which is though to support a Tomanaga-Luttinger liquid phase.

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Magnetic response and quantum critical behavior in the doped two-leg extended Hubbard ladder

Cited by 14 publications

References 80 publications

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials

Phase diagrams of the metallic zigzag carbon nanotube

Generic short-range interactions in two-leg ladders

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