Possible phases of two coupled<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>-component fermionic chains determined using an analytic renormalization group method

Szirmai, E.; Sólyom, J.

doi:10.1103/physrevb.74.155110

Cited by 10 publications

(15 citation statements)

References 30 publications

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“…Recently, the SU(n)-symmetric generalization of the standard SU(2) Hubbard model 1 has been intensively studied theoretically, 2,3,4,5,6,7,8 since this model may mimic strongly correlated electron systems where the orbital degrees of freedom of d and f electrons play important role.…”

Section: Introductionmentioning

confidence: 99%

Mott transition and dimerization in the one-dimensionalSU(n)Hubbard model

et al. 2007

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The one-dimensional SU(n) Hubbard model is investigated numerically for n = 2, 3, 4, and 5 at half filling and 1/n filling using the density-matrix renormalization-group (DMRG) method. The energy gaps and various quantum information entropies are calculated. In the half-filled case, finite spin and charge gaps are found for arbitrary positive U if n > 2. Furthermore, it is shown that the transition to the gapped phase at Uc = 0 is of Kosterlitz-Thouless type and is accompanied by a bond dimerization both for even and odd n. In the 1/n-filled case, the transition has similar features as the metal-insulator transition in the half-filled SU(2) Hubbard model. The charge gap opens exponentially slowly for U > Uc = 0, the spin sector remains gapless, and the ground state is non-dimerized.

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Section: Introductionmentioning

confidence: 99%

Mott transition and dimerization in the one-dimensionalSU(n)Hubbard model

et al. 2007

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“…We now discuss the relation between our results and those of other studies. For systems of a finite number of coupled Hubbard chains with varying interchain coupling strength, a number of calculations using bosonization and renormalization group techniques in the weakcoupling limit have been carried out [37][38][39][40]. The case of four periodically coupled chains was treated in detail in Ref.…”

Section: Discussionmentioning

confidence: 99%

Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders

et al. 2018

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Motivated by dimensional crossover in layered organic κ salts, we determine the phase diagram of a system of four periodically coupled Hubbard chains with frustration at half filling as a function of the interchain hopping t⊥ t and interaction strength U t at a fixed ratio of frustration and interchain hopping t ′ t⊥ = −0.5. We cover the range from the one-dimensional limit of uncoupled chains (t⊥ t = 0.0) to the isotropic model (t⊥ t = 1.0). For strong U t, we find an antiferromagnetic insulator; in the weak-to-moderate-interaction regime, the phase diagram features quasi-one-dimensional antiferromagnetic behavior, an incommensurate spin-density wave, and a metallic phase as t⊥ t is increased. We characterize the phases through their magnetic ordering, dielectric response, and dominant static correlations. Our analysis is based primarily on a variant of the density-matrix renormalization-group algorithm based on an efficient hybrid-real-momentum-space formulation, in which we can treat relatively large lattices albeit of a limited width. This is complemented by a variational cluster approximation study with a cluster geometry corresponding to the cylindrical lattice allowing us to directly compare the two methods for this geometry. As an outlook, we make contact with work studying dimensional crossover in the full two-dimensional system.

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“…where f a , f b denotes the filling of the band a and b, respectively, and they are determined by the rung hopping t ⊥ and the filling of the ladder f l . [23][24][25] In these cases the one-band picture breaks down.…”

Section: Effective Chain Modelmentioning

confidence: 99%

Competing valence-bond states of spin-32fermions on a strongly coupled ladder

Szirmai

Nonne²

2014

Phys. Rev. B

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We study the possible ground state configurations of two strongly coupled chains of charge neutral spin-3/2 fermionic atoms interacting via short range van der Waals interaction. The coupling between the two chains is realized by relatively large hopping amplitude. Exploiting that such a ladder configuration can be mapped to an effective one-band model we analyze the emerging ground states of the system. We show that various spatially inhomogeneous states, valence bond states, plaquette states compete depending on the filling and the ratio of the interaction strengths in the singlet and quintet scattering channel. We find that a Luttinger liquid state is the ground state of the strongly coupled ladder in an extended region of the parameter space, and we also show that a topologically nontrivial charge Haldane state can emerge in the strongly coupled ladder at quarter and three-quarter fillings.

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Possible phases of two coupledn-component fermionic chains determined using an analytic renormalization group method

Cited by 10 publications

References 30 publications

Mott transition and dimerization in the one-dimensionalSU(n)Hubbard model

Mott transition and dimerization in the one-dimensionalSU(n)Hubbard model

Anisotropy crossover in the frustrated Hubbard model on four-chain cylinders

Competing valence-bond states of spin-32fermions on a strongly coupled ladder

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