Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods

AJA James, RM Konik, P Lecheminant… - Reports on Progress …, 2018 - iopscience.iop.org
We review two important non-perturbative approaches for extracting the physics of low-
dimensional strongly correlated quantum systems. Firstly, we start by providing a …

Majorana edge states in interacting two-chain ladders of fermions

M Cheng, HH Tu - Physical Review B—Condensed Matter and Materials …, 2011 - APS
In this work, we study interacting spinless fermions on a two-chain ladder with interchain pair
tunneling while single-particle tunneling is suppressed at low energy. The model embodies …

Effective field theory for one-dimensional valence-bond-solid phases and their symmetry protection

Y Fuji - Physical Review B, 2016 - APS
We investigate valence-bond-solid (VBS) phases in one-dimensional spin systems by an
effective field theory developed by Schulz [Phys. Rev. B 34, 6372 (1986) PRBMDO 0163 …

Melting of a frustration-induced dimer crystal and incommensurability in the - two-leg ladder

A Lavarélo, G Roux, N Laflorencie - Physical Review B—Condensed Matter …, 2011 - APS
The phase diagram of an antiferromagnetic ladder with frustrating next-nearest-neighbor
couplings along the legs is determined using numerical methods (exact diagonalization and …

Phase diagram of S= 1 2 two-leg xxz spin-ladder systems

K Hijii, A Kitazawa, K Nomura - Physical Review B—Condensed Matter and …, 2005 - APS
We investigate the ground-state phase diagram of the S= 1 2 two-leg XXZ spin-ladder
system with an isotropic interchain coupling. In this model, there is the Berezinskii-Kosterlitz …

Nontopological Majorana zero modes in inhomogeneous spin ladders

NJ Robinson, A Altland, R Egger, NM Gergs, W Li… - Physical Review Letters, 2019 - APS
We show that the coupling of homogeneous Heisenberg spin-1/2 ladders in different phases
leads to the formation of interfacial zero energy Majorana bound states. Unlike Majorana …

Symmetry-protected topological phases in spin ladders with two-body interactions

ZX Liu, ZB Yang, YJ Han, W Yi, XG Wen - Physical Review B—Condensed …, 2012 - APS
Spin-1/2 two-legged ladders respecting interleg exchange symmetry σ and spin rotation
symmetry D 2 have new symmetry-protected topological (SPT) phases which are different …

Emergent SU (3) symmetry in a four-leg spin tube

E Orignac - Physical Review B, 2024 - APS
We consider an antiferromagnetic four-leg spin-1/2 tube using Abelian and non-Abelian
bosonization. We show that in the limit of weak interchain coupling, the most relevant …

Phase diagram and entanglement of two interacting topological Kitaev chains

L Herviou, C Mora, K Le Hur - Physical Review B, 2016 - APS
A superconducting wire described by ap-wave pairing and a Kitaev Hamiltonian exhibits
Majorana fermions at its edges and is topologically protected by symmetry. We consider two …

Symmetry-protected topological phases, conformal criticalities, and duality in exactly solvable SO() spin chains

S Chulliparambil, HC Zhang, HH Tu - Physical Review B, 2023 - APS
We introduce a family of SO (n)-symmetric spin chains which generalize the transverse-field
Ising chain for n= 1. These spin chains are defined with gamma matrices and can be exactly …