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Related papers: Phase Separation in Kitaev Chain

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A two-dimensional superconductor with spin-triplet p-wave pairing supports chiral or helical Majorana edge modes with a quantized (length $L$-independent) thermal conductance. Sufficiently strong anisotropy removes both chirality and…

Mesoscale and Nanoscale Physics · Physics 2014-06-26 M. Diez , I. C. Fulga , D. I. Pikulin , J. Tworzydlo , C. W. J. Beenakker

We investigate the topological properties of a dimerized Kitaev chain with long-range interactions, including the intercell hopping and superconducting pairing terms. It is found that even only when the intercell hopping term appears, the…

Mesoscale and Nanoscale Physics · Physics 2020-09-18 Xue-Si Li , Jia-Rui Li , Shu-Feng Zhang , Lian-Lian Zhang , Wei-Jiang Gong

The bond-dependent Ising interaction present in the Kitaev model has attracted considerable attention. The appearance of an unexpected intermediate phase under a magnetic field is particularly intriguing, and one may wonder if a similar…

Strongly Correlated Electrons · Physics 2023-03-02 Erik S. Sørensen , Jacob Gordon , Jonathon Riddell , Tianyi Wang , Hae-Young Kee

We analyze the quantum phases, correlation functions and edge modes for a class of spin-1/2 and fermionic models related to the 1D Ising chain in the presence of a transverse field. These models are the Ising chain with anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2015-12-29 Davide Vodola , Luca Lepori , Elisa Ercolessi , Guido Pupillo

We consider the Kitaev chain model with finite and infinite range in the hopping and pairing parameters, looking in particular at the appearance of Majorana zero energy modes and massive edge modes. We study the system both in the presence…

Strongly Correlated Electrons · Physics 2017-06-01 Antonio Alecce , Luca Dell'Anna

Topological phases, quite generally, are difficult to come by. They either occur under rather extreme conditions (e.g. the quantum Hall liquids, which require high sample purity, strong magnetic fields and low temperatures) or demand fine…

Mesoscale and Nanoscale Physics · Physics 2013-11-14 M. M. Vazifeh , M. Franz

We investigate the phase diagram of spinless fermions on a square lattice with nearest-neighbor interaction, using the recently developed projective truncation approximation in Green's function equation of motion. For attractive…

Strongly Correlated Electrons · Physics 2022-02-03 Kou-Han Ma , Ning-Hua Tong

The one-dimensional $p$-wave superconductor, characterized by boundary Majorana modes, has attracted significant interest owing to its potential application in topological quantum computation. Similarly, spin-1/2 Kitaev ladder systems with…

Strongly Correlated Electrons · Physics 2024-11-19 Haoting Xu , Hae-Young Kee

We present a spin model, namely, the Kitaev model augmented by a loop term and perturbed by an Ising Hamiltonian and show that it exhibits both confinement-deconfinement transitions from spin liquid to…

Strongly Correlated Electrons · Physics 2009-03-24 S. Mandal , S. Bhattacharjee , K. Sengupta , R. Shankar

We explore the nature of the quantum phase transition between a magnetically ordered state with collinear spin pattern and a gapless $Z_2$ spin liquid in the Heisenberg-Kitaev model. We construct a slave particle mean field theory for the…

Strongly Correlated Electrons · Physics 2013-05-30 Robert Schaffer , Subhro Bhattacharjee , Yong Baek Kim

Exchangeless braiding of Majorana modes is studied in minimal networks of weakly hybridized Kitaev chains of finite length using a rigorous many-body framework. In particular, for two coupled chains it is shown that exchangeless braiding is…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Robin Quade , Michael Potthoff

We study a finite-length Kitaev chain coupled to a single mode photonic cavity. The topological phase of the finite-length Kitaev chain is characterized by the presence of fermion parity switching points that correspond to the degeneracy…

Mesoscale and Nanoscale Physics · Physics 2025-12-04 Victor Fernandez Becerra , Olesia Dmytruk

We study an interface between a Kitaev spin liquid (KSL) in the chiral phase and a non-chiral superconductor. When the coupling across the interface is sufficiently strong, the interface undergoes a transition into a phase characterized by…

Strongly Correlated Electrons · Physics 2021-12-22 Gilad Kishony , Erez Berg

In this work we study the phase diagram of Kekul\'{e}-Kitaev model. The model is defined on a honeycomb lattice with bond dependent anisotropic exchange interactions making it exactly solvable in terms of Majorana representation of spins in…

Strongly Correlated Electrons · Physics 2020-03-18 Fatemeh Mirmojarabian , Mehdi Kargarian , Abdollah Langari

We introduce a density matrix-based network analysis to explore the ground state of the Kitaev chain, uncovering previously hidden structural and entanglement features. This approach successfully identifies the critical point associated…

Quantum Physics · Physics 2025-11-26 Guillem Llodrà , Roberta Zambrini , Gian Luca Giorgi

Recently, it has been proposed that higher-spin analogues of the Kitaev interactions $K>0$ may also occur in a number of materials with strong Hund's and spin-orbit coupling. In this work, we use Lanczos diagonalization and density matrix…

Strongly Correlated Electrons · Physics 2020-10-26 Wen-Long You , Gaoyong Sun , Jie Ren , Wing Chi Yu , Andrzej M. Oleś

Symmetry protected topological (SPT) phases are gapped quantum phases with a certain symmetry, which can all be smoothly connected to the same trivial product state if we break the symmetry. For non-interacting fermion systems with time…

Strongly Correlated Electrons · Physics 2012-02-27 Xiao-Gang Wen

We study a 1D chain of non-interacting bosonic cavities which are subject to nearest-neighbour parametric driving. With a suitable choice of drive phases, this model is strongly analogous to the celebrated Kitaev chain model of a 1D p-wave…

Mesoscale and Nanoscale Physics · Physics 2018-11-28 Alexander McDonald , T. Pereg-Barnea , A. A. Clerk

We apply the SU(2) slave fermion formalism to the Kitaev honeycomb lattice model. We show that both the Toric Code phase (the A phase) and the gapless phase of this model (the B phase) can be identified with p-wave superconducting phases of…

Strongly Correlated Electrons · Physics 2011-11-01 F. J. Burnell , Chetan Nayak

The Kitaev model, whose ground state is a quantum spin liquid (QSL), was originally conceived for spin $S=1/2$ moments on a honeycomb lattice. In recent years, the model has been extended to higher $S$ from both theoretical and experimental…

Strongly Correlated Electrons · Physics 2022-11-30 Kiyu Fukui , Yasuyuki Kato , Joji Nasu , Yukitoshi Motome