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Critical bifurcation and deconfined quantum criticality in an interacting cluster Ising chain
Sourabh, Bachana Beradze, Mikheil Tsitsishvili +2
We investigate the cluster Ising chain with an additional nearest-neighbor interaction using tensor-network methods and a weak-coupling field theory. Without the interaction, the J…
Orbital antiferromagnetic currents in a frustrated fermionic ladder
Shota Garuchava, G. I. Japaridze, A. A. Nersesyan
We consider a spinless - ionic Hubbard chain at 1/2 filling and large hopping ratio . In this limit the model adequately maps onto a weakly coupled triangular ladder w…
Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders
Bachana Beradze, Mikheil Tsitsishvili, Emanuele Tirrito +3
We consider a system of interacting spinless fermions on a two-leg triangular ladder with magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1)…
Spectrum, Lifshitz transitions and orbital currents in frustrated fermionic ladders with a uniform flux
Bachana Beradze, Alexander Nersesyan
Ultracold Fermi gases with synthetic gauge field represent an excellent platform to study the combined effect of lattice frustration and an effective magnetic flux close to one flu…
Phase diagram of an interacting staggered Su-Schrieffer-Heeger two-chain ladder close to a quantum critical point
A. A. Nersesyan
We study the ground-state phase diagram of an interacting staggered Su-Schrieffer-Heeger (SSH) ladder in the vicinity of the Gaussian quantum critical point. The corresponding effe…
Ground state phases and quantum criticalities of one-dimensional Peierls model with spin-dependent sign-alternating potentials
G. A. Japaridze, A. A. Nersesyan
We consider a one-dimensional commensurate Peierls insulator in the presence of spin-dependent sign-alternating potentials. In a continuum description, the latter supply the fermio…
Classical impurities and boundary Majorana zero modes in quantum chains
Markus Müller, Alexander A. Nersesyan
We study the response of classical impurities in quantum Ising chains. The Z2 degeneracy they entail renders the existence of two decoupled Majorana modes at zero energy an exact p…
Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials
Sam T. Carr, Boris N. Narozhny, Alexander A. Nersesyan
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…
Zero energy Majorana modes in spin ladders and a possible realization of the Kitaev model
A. A. Nersesyan, A. M. Tsvelik
We show that in double-chain Mott insulators (ladders), disordered alternating ionic potentials may locally destroy coherence of magnetic excitations and lead to the appearance of…
Quantum phase transitions in a strongly entangled spin-orbital chain: A field-theoretical approach
Alexander Nersesyan, Gia-Wei Chern, Natalia B. Perkins
Motivated by recent experiments on quasi-1D vanadium oxides, we study quantum phase transitions in a one-dimensional spin-orbital model describing a Haldane chain and a classical I…
The effect of a local perturbation in a fermionic ladder
Sam T. Carr, Boris N. Narozhny, Alexander A. Nersesyan
We study the effect of a local external potential on a system of two parallel spin-polarized nanowires placed close to each other. For single channel nanowires with repulsive inter…
Interaction induced dimerization in zigzag single wall carbon nanotubes
Sam T. Carr, Alexander O. Gogolin, Alexander A. Nersesyan
We derive a low-energy effective model of metallic zigzag carbon nanotubes at half filling. We show that there are three important features characterizing the low-energy properties…
Spinless Fermionic ladders in a magnetic field: Phase Diagram
Sam T. Carr, Boris N. Narozhny, Alexander A. Nersesyan
The system of interacting spinless fermions hopping on a two-leg ladder exhibits a series of quantum phase transitions when subjected to an external magnetic field. At half filling…
Fractional charge excitations in fermionic ladders
B. N. Narozhny, S. T. Carr, A. A. Nersesyan
The system of interacting spinless fermions hopping on a two-leg ladder in the presence of an external magnetic field is shown to possess a long range order: the bond density wave…
Ordered phases of XXZ-symmetric spin-1/2 zigzag ladder
M. Zarea, M. Fabrizio, A. A. Nersesyan
Using bosonization approach, we derive an effective low-energy theory for XXZ-symmetric spin-1/2 zigzag ladders and discuss its phase diagram by a variational approach. A spin nema…
Coulomb Blockade Regime of a Single-Wall Nanotube
A. A. Nersesyan, A. M. Tsvelik
A model of carbon nanotube at half filling is studied. The Coulomb interaction is assumed to be unscreened. It is shown that this allows to develop the adiabatic approximation whic…
Spinons in more than one dimension: Resonance Valence Bond state stabilized by frustration
A. A. Nersesyan, A. M. Tsvelik
For two spatially anisotropic, SU(2)-invariant models of frustrated magnets in arbitrary space dimension we present a non-perturbative proof of the existence of neutral spin-1/2 ex…
Quantum criticalities in a two-leg antiferromagnetic S=1/2 ladder induced by a staggered magnetic field
Y. -J. Wang, F. H. L. Essler, M. Fabrizio +1
We study a two-leg antiferromagnetic spin-1/2 ladder in the presence of a staggered magnetic field. We consider two parameter regimes: strong (weak) coupling along the legs and wea…
Ising-model description of the SU(2)_1 quantum critical point in a dimerized two-leg spin-1/2 ladder
Y. -J. Wang, A. A. Nersesyan
A nonperturbative analytical description of the SU(2)_1 quantum critical point in an explicitly dimerized two-leg spin-1/2 Heisenberg ladder is presented. It is shown that this cri…
Critical properties of the double-frequency sine-Gordon model with applications
M. Fabrizio, A. O. Gogolin, A. A. Nersesyan
We study the properties of the double-frequency sine--Gordon model in the vicinity of the Ising quantum phase transition displayed by this model. Using a mapping onto a generalised…
Bosonization and Strongly Correlated Systems
A. O. Gogolin, A. A. Nersesyan, A. M. Tsvelik
This volume provides a detailed account of bosonization. The first part of the book examines the technical aspects of bosonization including one-dimensional fermions, the Gaussian…
The fate of spinons in spontaneously dimerised spin-1/2 ladders
Dave Allen, Fabian H. L. Essler, Alexander A. Nersesyan
We study a weakly coupled, frustrated two-leg spin-1/2 Heisenberg ladder. For vanishing coupling between the chains, elementary excitations are deconfined, gapless spin-1/2 objects…
From band insulator to Mott insulator in one dimension
Michele Fabrizio, Alexander O. Gogolin, Alexander A. Nersesyan
We derive the phase diagram for the one-dimensional model of a ferroelectric perovskite recently introduced by Egami, Ishihara and Tachiki [Science, {\bf 261}, 1307 (1993)]. We sho…
Theory Of The One Dimensional SU(4) Spin-Orbital Model
P. Azaria, A. O. Gogolin, P. Lecheminant +1
The one-dimensional spin-orbital model is studied by means of Abelian bosonization. We derive the low-energy effective theory which enables us to study small deviations from the SU…