T. Vekua
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View article: Phase transitions in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math>and U(1) clock models
Phase transitions in theand U(1) clock models Open
Quantum phase transitions are studied in the nonchiral 𝘱 -clock chain, and a new explicitly U(1)-symmetric clock model, by monitoring the ground-state fidelity susceptibility. For 𝘱 ≥ 5 , the self-dual Z 𝘱 -symmetric chain displays a doubl…
View article: Vortex-Hole Duality: A Unified Picture of Weak- and Strong-Coupling Regimes of Bosonic Ladders with Flux
Vortex-Hole Duality: A Unified Picture of Weak- and Strong-Coupling Regimes of Bosonic Ladders with Flux Open
Two-leg bosonic ladders with flux harbor a remarkable vortex-hole duality between the weak-coupling vortex lattice superfluids and strong-coupling charge-density-wave crystals. The strong-coupling crystalline states, which are realized in …
View article: Magnetic-field-induced criticality in superconducting two-leg ladders
Magnetic-field-induced criticality in superconducting two-leg ladders Open
We study critical singularities in the d-wave-like superconducting phase of\nthe hole-doped Hubbard model of repulsively interacting electrons, defined on a\ntwo-leg ladder, induced by a magnetic field applied parallel to the ladder\nplane…
View article: Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field
Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field Open
We study the quantum phases of bosons with repulsive contact interactions on a two-leg ladder in the presence of a uniform Abelian gauge field. The model realizes many interesting states, including Meissner phases, vortex fluids, vortex la…
View article: Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>chain
Exact asymptotic correlation functions of bilinear spin operators of the Heisenberg antiferromagnetic spin-chain Open
Exact asymptotic expressions of the uniform parts of the two-point correlation functions of bilinear spin operators in the Heisenberg antiferromagnetic spin-1/2 chain are obtained. Apart from the algebraic decay, the logarithmic contributi…
View article: Topological quasi-one-dimensional state of interacting spinless electrons
Topological quasi-one-dimensional state of interacting spinless electrons Open
By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest sub-band, for not too strong interactions system transitions into a quasi-one-dimensional …
View article: Exact correlation functions of bilinear spin operators and fidelity susceptibility of the Heisenberg antiferromagnetic spin-1/2 chain
Exact correlation functions of bilinear spin operators and fidelity susceptibility of the Heisenberg antiferromagnetic spin-1/2 chain Open
Exact asymptotic expressions of the uniform parts of the two-point correlation functions of bilinear spin operators in Heisenberg antiferromagnetic spin-1/2 chain are obtained. Apart of the algebraic decay, logarithmic contribution is iden…
View article: Topological quasi-one-dimensional state of interacting electrons
Topological quasi-one-dimensional state of interacting electrons Open
By decreasing the transversal confinement potential in interacting quantum wires and populating the second energetically lowest sub-band, electron systems transition into a quasi-one-dimensional state with dominant superconducting correlat…
View article: Ground-state phases of a rung-alternated<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mtext>spin</mml:mtext><mml:mo>−</mml:mo><mml:mfrac><mml:mn>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:math>Heisenberg ladder
Ground-state phases of a rung-alternatedHeisenberg ladder Open
The ground-state phase diagram of Heisenberg spin-1/2 system on a two-leg ladder with rung alternation is studied by combining analytical approaches with numerical simulations. For the case of ferromagnetic leg exchanges a unique ferrimagn…
View article: Spontaneous Increase of Magnetic Flux and Chiral-Current Reversal in Bosonic Ladders: Swimming against the Tide
Spontaneous Increase of Magnetic Flux and Chiral-Current Reversal in Bosonic Ladders: Swimming against the Tide Open
The interplay between spontaneous symmetry breaking in many-body systems, the wavelike nature of quantum particles and lattice effects produces an extraordinary behavior of the chiral current of bosonic particles in the presence of a unifo…
View article: Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder
Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder Open
We establish the phase diagram of the strongly-interacting Bose-Hubbard model\ndefined on a two-leg ladder geometry in the presence of a homogeneous flux. Our\nwork is motivated by a recent experiment [Atala et al., Nature Phys. 10, 588\n(…
View article: Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions
Fidelity at Berezinskii-Kosterlitz-Thouless quantum phase transitions Open
We clarify the long-standing controversy concerning the behavior of the ground state fidelity in the vicinity of a quantum phase transition of the Berezinskii-Kosterlitz-Thouless type in one-dimensional systems. Contrary to the prediction …
View article: Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder
Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder Open
We establish the phase diagram of the strongly interacting Bose-Hubbard model defined on a two-leg ladder geometry in the presence of a homogeneous flux. Our work is motivated by a recent experiment [M. Atala et al., Nat. Phys. 10, 588 (20…