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The inhomogeneous transverse field Ising models mainly impurity based and the joint chain are analysed analytically using Jordan-Wigner transformations. The effects of inhomogeneities on the phase transition have been discussed in detail.…

Quantum Physics · Physics 2018-12-19 Abhijit P. Chaudhari , Rajeev Singh , Sunil K. Mishra

We investigate sudden quenches across the critical point in the transverse field Ising chain with a perturbing non-integrable next-nearest-neighbour interaction. Expressions for the return (Loschmidt) amplitude and associated rate function…

Statistical Mechanics · Physics 2015-06-22 Johannes Kriel , Christoph Karrasch , Stefan Kehrein

The interplay of magnetic impurity and vortex in a topological superconductor is of fundamental interest with major implications for implementing quantum computation. There are multiple degrees of freedom interacting with the impurity in…

Superconductivity · Physics 2022-06-13 Wei Su , Rui Wang , Changfeng Chen , Xiaoqun Wang

The semi-infinite XY spin chain with an impurity at the boundary has been chosen as a prototype of interacting many-body systems to test for non-ergodic behavior. The model is exactly solvable in analytic way in the thermodynamic limit,…

Statistical Mechanics · Physics 2018-10-17 A. O. García Rodríguez , G. G. Cabrera

On a ring, a single Jordan-Wigner transformation between the Kitaev model and the spin model suffers redundant degrees of freedom. However, we can establish an exact quaternary Jordan-Wigner mapping involving two Kitaev rings and two spin…

Strongly Correlated Electrons · Physics 2019-12-25 Zhen-Yu Zheng , Han-Chuan Kou , Peng Li

We study the effect of long-range connections on the infinite-randomness fixed point associated with the quantum phase transitions in a transverse Ising model (TIM). The TIM resides on a long-range connected lattice where any two sites at a…

Disordered Systems and Neural Networks · Physics 2015-06-25 Amit Dutta , R. Loganayagam

We investigate the boundary effects that arise when spin-$\frac{1}{2}$ impurities interact with the edges of the antiferromagnetic spin-$\frac{1}{2}$ Heisenberg chain through spin exchange interactions. We consider both cases when the…

Strongly Correlated Electrons · Physics 2025-07-17 Pradip Kattel , Parameshwar R. Pasnoori , J. H. Pixley , Patrick Azaria , Natan Andrei

In the present paper the transport of impurities driven by trapped electron (TE) mode turbulence is studied. Non-linear (NL) gyrokinetic simulations using the code GENE are compared with results from quasilinear (QL) gyrokinetic simulations…

Plasma Physics · Physics 2015-05-28 A. Skyman , H. Nordman , P. Strand

Geometrically frustrated quantum impurities coupled to metallic leads have been shown to exhibit rich behavior with a quantum phase transition separating Kondo screened and local moment phases. Frustration in the quantum impurity can…

Strongly Correlated Electrons · Physics 2020-03-25 Tathagata Chowdhury , Achim Rosch , Ralf Bulla

The phase transition between gapped topological phases represents a class of unconventional criticality beyond the Landau paradigm. However, recent research has shifted attention to topological phases without a bulk gap, where the phase…

Strongly Correlated Electrons · Physics 2024-07-03 Hao-Long Zhang , Han-Ze Li , Sheng Yang , Xue-Jia Yu

We present an exact solution for a quantum spin chain driven through its critical points. Our approach is based on a many-body generalization of the Landau-Zener transition theory, applied to fermionized spin Hamiltonian. The resulting…

Mesoscale and Nanoscale Physics · Physics 2008-04-12 R. W. Cherng , L. S. Levitov

We study quantum Hall ferromagnets in the presence of a random electrostatic impurity potential, within the framework of a classical non-linear sigma model. We discuss the behaviour of the system using a heuristic picture for the…

Strongly Correlated Electrons · Physics 2010-02-25 D. K. K. Lee , S. Rapsch , J. T. Chalker

A multichannel Kondo model, where two or more equivalent but independent channels of electrons compete to screen a spin-1/2 impurity, shows overcompensation of the impurity spin, leading to the non-Fermi-liquid behavior in various…

Strongly Correlated Electrons · Physics 2022-01-13 Ru Zheng , Rong-Qiang He , Zhong-Yi Lu

An unusual correlation function is conjectured by M. Campostrini et al. (Phys. Rev. E 91, 042123 (2015)) for the ground state of a transverse Ising chain with geometrical frustration in one of the translationally invariant cases. Later, we…

Statistical Mechanics · Physics 2018-01-31 Jian-Jun Dong , Zhen-Yu Zheng , Peng Li

We investigate quantum scaling phenomena driven by lower-dimensional defects in quantum Ising-like models. We consider quantum Ising rings in the presence of a bond defect. In the ordered phase, the system undergoes a quantum transition…

Statistical Mechanics · Physics 2015-04-29 Massimo Campostrini , Andrea Pelissetto , Ettore Vicari

We analyze the effect of impurity on the work output and efficiency of quantum Otto and quantum Carnot heat cycles, modeled as a single quantum particle in an infinite square well (ISW) potential, which is the working substance. We solve…

Quantum Physics · Physics 2022-11-08 Aditya Prakash , Abhishek Kumar , Colin Benjamin

We present a new formulation of the theory of an arbitrary quantum impurity in an antiferromagnet, using the O(3) non-linear sigma model. We obtain the low temperature expansion for the impurity spin susceptibilities of antiferromagnets…

Strongly Correlated Electrons · Physics 2007-05-23 Subir Sachdev , Matthias Vojta

Open driven quantum systems have defined a powerful paradigm of nonequilibrium phases and phase transitions; however, quantum phase transitions are generically not expected in this setting due to the decohering effect of dissipation. In…

Quantum Gases · Physics 2026-02-18 Mostafa Ali , Naushad A. Kamar , Alireza Seif , Mohammad Maghrebi

We study the crossing of the quantum phase transition in the transverse-field Ising model after modulating the magnetic field at an arbitrary rate, exploring the critical dynamics from the slow to the sudden quench regime. We do so by…

Statistical Mechanics · Physics 2025-05-05 András Grabarits , Federico Balducci , Adolfo del Campo

We investigate quantum phase transitions in the transverse field Ising chain with algebraically decaying long-range (LR) antiferromagnetic interactions using the variational Monte Carlo method with the restricted Boltzmann machine employed…

Statistical Mechanics · Physics 2024-06-14 Jicheol Kim , Dongkyu Kim , Dong-Hee Kim